arXiv subjects

Kenta Suzuki

Publications and source records attributed to Kenta Suzuki.

At least 19 recordsLinked to original sources

arXiv2026

Open-Closed-Open Triality for 1/2 BPS Three-Point Functions

Open-closed-open triality relates two distinct open string descriptions through a common closed string theory. In this paper, we develop an open-closed-open triality for protected half-BPS three-point functions in four-dimensional $\mathcal{N}=4$ super Yang-Mills theory. Starting from determinant insertions representing giant gravitons, we formulate a V-type open-string Gaussian three-matrix model and, through a color-flavor transformation, derive an F-type open-string model of three bifundamental matrices forming a triangular quiver. Its closed quiver walks include oriented cubic cycles, a feature absent from the bipartite two-point case. We test the correspondence by deriving exact finite-$N$ single-giant polynomials, recovering the known F-type large-$N$ saddles, and proving the equivalence of the V- and F-type character expansions via an explicit bijection of their combinatorial data. At the closed string corner, connected three-matrix contractions determine three-colored integer Strebel surfaces. We argue that the corresponding target-space construction is naturally described by a barycentrically subdivided Belyi map or a colored Hurwitz constellation.

hep-th↗

arXiv2026

The image of the constant sheaf under the geometric Langlands equivalence

Let $X$ be a smooth projective curve and let $G$ be a reductive group over an algebraically closed field of characteristic zero. We compute the image of arbitrary finite-rank local systems on $\mathrm{Bun}_G(X)$ under the geometric Langlands equivalence, confirming a conjecture of V. Lafforgue in the case of the constant sheaf.

math.AG↗

arXiv2026

Fluid Boundary Conditions from AdS/BCFT

In this paper, we initiate our program to classify conformal fluid boundary conditions, by utilizing the fluid/gravity correspondence in the AdS/BCFT correspondence. The AdS/BCFT correspondence is a conjectured duality between a quantum gravity in asymptotically AdS spacetime with an end-of-the world brane and a boundary conformal field theory (BCFT). We show that a choice of boundary condition for the metric on the end-of-the world brane naturally leads to specific boundary conditions for velocity field and temperature field of BCFT in the hydrodynamic limit. We analyze the Neumann, Dirichlet and Conformal boundary conditions for the metric on the end-of-the world brane, and discuss their implications for conformal fluid boundary conditions.

hep-th↗

arXiv2026

A novel sustainable role of compost as a universal protective substitute for fish, chicken, pig, and cattle, and its estimation by structural equation modeling

Natural decomposition of organic matter is essential in food systems, and compost is used worldwide as an organic fermented fertilizer. However, as a feature of the ecosystem, its effects on the animals are poorly understood. Here we show that oral administration of compost and/or its derived thermophilic Bacillaceae, i.e., Caldibacillus hisashii and Weizmannia coagulans, can modulate the prophylactic activities of various industrial animals. The fecal omics analyses in the modulatory process showed an improving trend dependent upon animal species, environmental conditions, and administration. However, structural equation modeling (SEM) estimated the grouping candidates of bacteria and metabolites as standard key components beyond the animal species. In particular, the SEM model implied a strong relationship among partly digesting fecal amino acids, increasing genus Lactobacillus as inhabitant beneficial bacteria and 2-aminoisobutyric acid involved in lantibiotics. These results highlight the potential role of compost for sustainable protective control in agriculture, fishery, and livestock industries.

q-bio.QM↗

arXiv2026

Modules of the Temperley-Lieb algebra at zero

We explicitly describe the category of modules of the Temperley-Lieb algebra $\mathrm{TL}_n(β)$ under specialization $β=0$ for even $n$ in terms of a quiver algebra, analogous to a result of Berest-Etingof-Ginzburg. In particular, we explicitly construct an exact sequence of the standard modules of $\mathrm{TL}_n(0)$, which categorifies a numerical coincidence regarding the evaluation of the Jones polynomial at $t=-1$. We furthermore deduce a consequence in the representation theory of symmetric groups over characteristic two.

math.RT↗

arXiv2025

Symbiotic causal network of seagrass-bacteria-algae-diatoms interactions

Seagrass meadows contribute to the conservation of marine ecosystems, reduction in global warming impacts and pathogen controls. However, the decline in seagrass habitats due to environmental loads has become an urgent global issue. One way to address this issue is to better understand healthy seagrass habitats. Here, we estimate the structural characteristics of symbiotic and metabolic systems in sediments from eight coastal regions of Japan, with each region containing both seagrass-covered areas and adjacent unvegetated areas. Notably, seagrasses commonly maintain a balanced symbiotic relationship characterized by a positive association with cable bacteria (Desulfobulbaceae), nitrogen-cycling bacteria (Hyphomonadaceae), and coral algae (Corallinophycidae) and a negative association with diatoms (Diatomea). Furthermore, seagrass growth conditions influence metabolic pathways by activating nitrogen-related metabolism while attenuating methanogenesis. Our findings highlight the crucial roles of marine plants and their symbiotic systems in ensuring environmental conservation within the context of blue carbon storage across environmental gradients.

q-bio.QM↗

arXiv2025

Anti-pathogenic property of thermophile-fermented compost as a feed additive and its in vivo external diagnostic imaging in a fish model

Fermentative recycling of organic matter is important for a sustainable society, but the functionality of fermented products needs to be adequately evaluated. Here, we clarify the antipathogenic properties for fish of a compost-type feed additive fermented by thermophilic Bacillaceae using non-edible marine resources as raw materials. After prior administration of the compost extract to seabream as a fish model for 70 days, the mortality rate after 28 days of exposure to the fish pathogen Edwardsiella reached a maximum of 20%, although the rate was 60% without prior administration. Under such conditions, the serum complement activity of seabream increased, and the recovery time after anesthesia treatment was also fasten. Furthermore, the differences in the degree of smoothness and glossiness of the fish body surface depending on the administration were statistically shown by imaging techniques to evaluate the texture and color tone of field photographs. These results suggest that thermophile-fermented compost is effective as a functional feed additive against fish disease infection, and that such conditions can be estimated by body surface analysis. This study provides a new perspective for the natural symbiosis industry, as well as for the utilization of non-invasive diagnosis to efficiently estimate the quality of its production activities

q-bio.QM↗

arXiv2025

Smoothness of commutative Hopf algebras

Hopf algebras, most generally in a semisimple abelian symmetric monoidal category, are here supposed to be commutative but not to be of finite-type, and their (equivariant) smoothness are discussed. Given a Hopf algebra $H$ in a category such as above, it is proved that the following are equivalent: (i) $H$ is smooth as an algebra; (ii) $H$ is smooth as an $H$-comodule algebra; (iii) the product morphism $S_H^2(H^+) \to H^+$ defined on the 2nd symmetric power is monic. Working over a field $k$ of characteristic zero, we prove: (1) every ordinary Hopf algebra, i.e., such in the category $\mathsf{Vec}$ of vector spaces, satisfies the equivalent conditions (i)--(iii) and some others; (2) every Hopf algebra in the category $\mathsf{sVec}$ of super-vector spaces has a certain property that is stronger than (i). In the case where $\operatorname{char}k=p>0$, there are shown weaker properties of ordinary Hopf algebras and of Hopf algebras in $\mathsf{sVec}$ or in the ind-completion $\mathsf{Ver}_p^{\mathrm{ind}}$ of the Verlinde category.

math.RA↗

arXiv2025

Time-like Janus Solution -- holographic global quantum quench --

We construct a time-like Janus solution, which is mediated by a time-dependent dilaton field in asymptotic AdS spacetime. This solution breaks the null energy condition, but we argue that it is nevertheless useful as a toy model of holographic global quantum quench. The dual CFT is given by conformal perturbation theory, where the primary scalar operator that is dual to the bulk dilaton field is coupled with a global-quench-type time-dependent source. We compute one-point functions of the scalar operator and the stress-energy tensor, and confirm that the results are consistent with the proposed CFT picture. We also evaluate the holographic entanglement entropy for late time after the global quench, and show that the result agrees with the CFT computation. The stability of the time-like Janus solution against a scalar perturbation is also discussed.

hep-th↗

arXiv2025

Geometric characterization of the group law in the Weyl group

Let $G$ be a reductive group with Borel $B$ and Weyl group $W$. Then $B$-double cosets in $G$ are indexed by the Weyl group, say $O(w)$ for $w\in W$. Then we prove the minimal $B$-double coset in the convolution $O(w_1)*O(w_2)$ is $O(w_1w_2)$, which gives a geometric characterization of multiplication in $W$. This defines the abstract Weyl group $\mathbf W$ which is a Coxeter group acting on the abstract Cartan $\mathbf T$.

math.RT↗

arXiv2024

Long-range multi-scalar models at three loops

We compute the three-loop beta functions of long-range multi-scalar models with general quartic interactions. The long-range nature of the models is encoded in a kinetic term with a Laplacian to the power $0<ζ<1$, rendering the computation of Feynman diagrams much harder than in the usual short-range case ($ζ=1$). As a consequence, previous results stopped at two loops, while six-loop results are available for short-range models. We push the renormalization group analysis to three loops, in an $ε=4ζ-d$ expansion at fixed dimension $d<4$, extensively using the Mellin-Barnes representation of Feynman amplitudes in the Schwinger parametrization. We then specialize the beta functions to various models with different symmetry groups: $O(N)$, $(\mathbb{Z}_2)^N \rtimes S_N$, and $O(N)\times O(M)$. For such models, we compute the fixed points and critical exponents.

hep-th↗

arXiv2024

Affine Kazhdan-Lusztig polynomials on the subregular cell in non simply-laced Lie algebras: with an application to character formulae (with an appendix by Roman Bezrukavnikov, Vasily Krylov, and Kenta Suzuki)

We extend the techniques in arXiv:2209.08865(1) to the non-simply-laced situation, and calculate explicit special values of parabolic affine inverse Kazhdan-Lusztig polynomials for subregular nilpotent orbits. We thus obtain explicit character formulas for certain irreducible representations of affine Lie algebras. As particular cases, we compute characters of simple vertex algebras $V_{k}(\mathfrak{g})$ for $k=-1,\ldots,-b$, where $b$ is the largest label of the highest short coroot $θ^\vee$. Conjecturally, all ordinary modules over $V_{-b}(\mathfrak{g})$ are covered by our computations. As an application, we obtain the explicit formulas for flavoured Schur indices of rank one Argyres-Douglas 4d SCFTs with flavour symmetry $G_2$ and $B_3$. Our results are proved using the geometry of the Springer resolution. We identify the cell quotient of the anti-spherical module over $\widehat{W}$ corresponding to the subregular cell with a certain one-dimensional extension of a module defined by Lusztig. We describe the canonical basis in this module geometrically and present an explicit description of the corresponding objects in the derived category of equivariant coherent sheaves on the Springer resolution. They correspond to irreducible objects in the heart of a certain $t$-structure that we describe using an equivariant version of the derived McKay correspondence.

math.RT↗

arXiv2024

Is All Learning (Natural) Gradient Descent?

This paper shows that a wide class of effective learning rules -- those that improve a scalar performance measure over a given time window -- can be rewritten as natural gradient descent with respect to a suitably defined loss function and metric. Specifically, we show that parameter updates within this class of learning rules can be expressed as the product of a symmetric positive definite matrix (i.e., a metric) and the negative gradient of a loss function. We also demonstrate that these metrics have a canonical form and identify several optimal ones, including the metric that achieves the minimum possible condition number. The proofs of the main results are straightforward, relying only on elementary linear algebra and calculus, and are applicable to continuous-time, discrete-time, stochastic, and higher-order learning rules, as well as loss functions that explicitly depend on time.

cs.LG↗

arXiv2024

Trace Paley-Wiener theorem for Braverman-Kazhdan's asymptotic Hecke algebra

Let $\mathbf G$ be a reductive algebraic group over a non-archimedean local field $F$ of characteristic zero and let $G=\mathbf G(F)$ be the group of $F$-rational points. Let $\mathcal H(G)$ be the Hecke algebra and let $\mathcal J(G)$ be the asymptotic Hecke algebra, as defined by Braverman and Kazhdan. We classify irreducible representations of $\mathcal J(G)$. As a consequence, we prove a conjecture of Bezrukavnikov-Braverman-Kazhdan that the inclusion $\mathcal H(G)\subset\mathcal J(G)$ induces an isomorphism $\mathcal H(G)/[\mathcal H(G),\mathcal H(G)]\simeq\mathcal J(G)/[\mathcal J(G),\mathcal J(G)]$ on the cocenters. We also provide an explicit description of $\mathcal J(G)$ and the cocenter $\mathcal H(G)/[\mathcal H(G),\mathcal H(G)]$ when $\mathbf G=\mathrm{GL}_n$.

math.RT↗

arXiv2024

Gauge Symmetries and Conserved Currents in AdS/BCFT

In this paper, we study massless/massive vector and $p$-form field perturbations in AdS spacetime with an end-of-the-world brane. By imposing $U(1)$ preserving Neumann boundary condition on the end-of-the-world brane, we study their spectrum and discuss their implications for dual BCFT operators. When the perturbation is massless, the dual BCFT operator is a conserved current and we show that such an operator indeed satisfies the $U(1)$ preserving conformal boundary condition. On the other hand, when the perturbation is massive, in general there exists non-vanishing perpendicular components of the dual BCFT operator, even in the massless limit. We explain this difference between massless and massive perturbations from the point of view of the bulk gauge symmetry, or equivalently from different structure of equations of motion. We also find several brane-tension-independent modes in massless perturbations, and these are understood as boundary-condition-independent modes from the dual BCFT point of view.

hep-th↗

arXiv2023

Dimensional Reduction of the $S^3$/WZW Duality

Recently proposed duality relates the critical level limit $\hat{k} \to -2$ of $SU(2)_{\hat{k}}$ WZW models to a classical three-dimensional Einstein gravity on a sphere. In this paper, we propose a dimensional reduced version of this duality. The gravity side is reduced to a Jackiw-Teitelboim (JT) gravity on $S^2$ with a non-standard boundary term, or a BF theory with $SU(2)$ gauge symmetry. At least in low temperature limit, these two-dimensional gravity theories completely capture the original three-dimensional gravity effect. The CFT side is reduced to a certain complex Liouville quantum mechanics (LQM) with $SU(2)$ gauge symmetry. Our proposal gives an interesting example of a holography without boundary. We also discuss a higher-spin generalization with $SU(N)$ gauge symmetry.

hep-th↗

arXiv2023

Rationality of the Local Jacquet-Langlands Correspondence for GL(n)

We relate the field of definition of representations $σ$ of the group of units $D^\times$ of a non-archimedean division algebra $D/F$ to that of its L-parameter $φ_σ\colon W_F\to \mathrm{GL}_n(\mathbb C)$, extending results of [Prasad-Ramakrishnan]. The field of definitions are controlled by division algebras $\mathcal D_σ$ and $\mathcal D_{φ_σ}$ over the field of rationality $\mathbb Q(π)$, and we completely pin down the relationship between the Hasse invariants at places not over $p$. Under some additional assumptions we can also specify the Hasse invariants at places over $p$.

math.NT↗

arXiv2023

Information metric on the boundary

The information metric on the space of boundary coupling constants in two-dimensional conformal field theories is studied. Such a metric is related to the Casimir energy difference of the theory defined on an interval. We concretely compute the information metric on the boundary conformal manifold of free boson CFT as well as SU(2)k WZW theory, obtaining the result expected from the symmetry of the systems. We also compute the information metric on the space of non-conformal boundary states produced by boundary mass perturbations in the theory of a real free scalar. The holographic dual of the boundary information metric in the context of AdS3/BCFT2 is also discussed. We argue that it corresponds to the area of the minimal cross section of the end-of-the-world brane connecting two boundaries of the asymptotic BCFTs.

hep-th↗