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Veronica Pasquarella

Publications and source records attributed to Veronica Pasquarella.

11 recordsLinked to original sources
arXiv2025

Categorical Symmetries and Fiber Functors from Multiple Gaugeable Homomorphisms from 6D ${\cal N}=(2,0)$ SCFTs

Exploiting the symmetry topological field theory/topological order correspondence (SymTFT/TO), together with the higher-categorical structure of 6D N =(2,0) SCFTs, we prove that the total quantum dimension of the relative gaugeable algebra leading to intrinsic non-invertible symmetries between class S theories is greater with respect to the non-intrinsic case. From a higher-categorical perspective, this supports the idea that multiplicity is allowed to exceed unity in some superselection sectors.

hep-th↗
arXiv2025

Moore-Tachikawa Varieties: Beyond Duality

We propose a generalisation of the Moore-Tachikawa varieties for the case in which the target category of the 2D TFT is a hyperk$\ddot{\text{a}}$hler quotient. The setup requires generalising the bordism operators of Moore and Segal to the case involving lack of reparametrisation-invariance on the Riemann surface, ultimately enabling to relate this to the issue of defining a Drinfeld center for composite class ${\cal S}$ theories.

hep-th↗
arXiv2025

Advancements in Functorial Homological Mirror Symmetry

Mostly inspired by recent work by Katzarkov, Kontsevich, and Sheshmani, combined with previous work by Aganagic, Ooguri, Saulina and Vafa with regard to BPS black hole microstate counting in terms of topological field theory calculations, we will show how these tools can be applied to concrete setups arising from String Theory, and why the formalism of functorial Homological Mirror Symmetry needs to be further developed. A crucial ingredient will turn out being cobordism techniques for evaluating invariants.

hep-th↗
arXiv2025

Primitive invariants from laminations

Combining geometric group theory techniques with geometric topology tools, we show how primitive cohomologies provide useful insights towards unifying the mathematical formulation of Gromov-Witten invariants. In particular, we emphasise the role played by geodesic laminations in analysing such invariants for the case of complete intersections in projective space.

math.GT↗
arXiv2024

Dualities and Categorical Structures from 2D Up

A fundamental step towards studying string theory vacua, and, ultimately, their stability, is that of understanding the underlying mathematical structure of the QFT resulting from its dimensional reduction on Calabi-Yau (CY) manifolds, the latter being complex manifolds admitting a category theory description. The present work aims at addressing this question in the case of lower-dimensional gravitating systems, and supersymmetric quiver gauge theories, highlighting the role played by dualities and categorical structures towards studying analytical structures of amplitudes. (Based on the author's PhD thesis. For the official version, submitted for dissertation in January 2024, please see https://www.repository.cam.ac.uk/items/1b4cfbcf-7fcf-415d-a252-ba60f7586899)

hep-th↗
arXiv2024

Particle Physics: a crash course for Mathematicians

This introductory work combines bottom-up and top-down approaches towards understanding the underlying categorical structure of possible unifying theories descending from string theory. Guided by well-established developments in the realm of categorical algebraic geometry, we explain why abelianisation could potentially lead to furthering the understanding of how to embed Beyond the Standard Model scenarios in supersymmetric setups.

hep-th↗
arXiv2023

Factorisation Homology for Class $\cal S$ Theories

Based on recent advancements in algebraic geometry, algebraic topology, and higher-categorical structures, we show how ground state degeneracies in closed stratified manifolds can be used for describing class ${\cal S}$ theories whose AGT dual requires generalised Moore-Segal bordism operators lacking reparametrisation-invariance.

hep-th↗
arXiv2023

Drinfeld Centers from Magnetic Quivers

The present work shows that magnetic quivers encode the necessary information for determining the Drinfeld center in the symmetry topological field theory constructions (SymTFT) associated to a given absolute theory. The crucial argument resides in their common aim of generalising homological mirror symmetry.

hep-th↗
arXiv2022

Vacuum Transitions in Two-Dimensions and their Holographic Interpretation

We calculate amplitudes for 2D vacuum transitions by means of the Euclidean methods of Coleman-De Luccia (CDL) and Brown-Teitelboim (BT), as well as the Hamiltonian formalism of Fischler, Morgan and Polchinski (FMP). The resulting similarities and differences in between the three approaches are compared with their respective 4D realisations. For CDL, the total bounce can be expressed as the product of relative entropies, whereas, for the case of BT and FMP, the transition rate can be written as the difference of two generalised entropies, ultimately enabling to circumvent the need to resort to detailed balance. By means of holographic arguments, we show that the Euclidean methods, as well as the Lorentzian cases without non-extremal black holes, provide examples of an AdS$_2$/CFT$_1 \subset $ AdS$_3$/CFT$_2$ correspondence. Such embedding is not possible in the presence of islands for which the setup corresponds to AdS$_2$/CFT$_1 \not\subset $ AdS$_3$/CFT$_2$. We find that whenever an island is present, up-tunnelling is possible.

hep-th↗
arXiv2019

Quantum Transitions Between Minkowski and de Sitter Spacetimes

Quantum transitions among de Sitter and Minkowski spacetimes through bubble nucleation are revisited using the Hamiltonian formalism. We interpret tunnelling probabilities as relative probabilities: the ratio of the squared wave functionals $\mathcal{P}=\frac{|\Psi_{\mathcal{N}}|^2}{|\Psi_{\mathcal{B}}|^2}$, with $\Psi_{\mathcal{B,N}}$ solutions of the Wheeler-DeWitt equation corresponding to the spacetimes $\mathcal{N}$ and $\mathcal{B}$, gives the probability of nucleating the state $\mathcal{N}$ relative to the probability of having the state $\mathcal{B}$. We find that the transition amplitude from de Sitter to de Sitter for both up- and down-tunnelling agrees with the original result based on Euclidean instanton methods. Expanding on the work of Fischler, Morgan and Polchinski we find that the Minkowski to de Sitter transition is possible as in the original Euclidean approach of Farhi, Guth and Guven. We further generalise existing calculations by computing the wave function away from the turning points for the classical motion of the wall in de Sitter to de Sitter transitions. We address several challenges for the viability of the Minkowski to de Sitter transition, including consistency with detailed balance and AdS/CFT. This sets this transition on firmer grounds but opens further questions. Our arguments also validate the Coleman-De Luccia formulae in the presence of gravity since it has no issues involving negative eigenmodes and other ambiguities of the Euclidean approach. We briefly discuss the implications of our results for early universe cosmology and the string landscape.

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