arXiv subjects

Chiara Mascherpa

Publications and source records attributed to Chiara Mascherpa.

5 recordsLinked to original sources

arXiv2026

New Bethe vacua for $\mathcal{N}=2$ elliptic models

We study the superconformal index of four-dimensional $\mathcal{N}=2$ $\mathrm{SU}(N)$ elliptic models through the Bethe Ansatz approach, where the index is evaluated as a sum of vacua arising from a set of transcendental equations. Starting from the known discrete solutions of these equations, that we refer to as progenitors, we show that there exist large classes of new descendant solutions. We then show that the solutions can be organized into orbits of the S-duality group, mimicking its action on the massive vacua of the $\mathcal{N}=1^*$ deformations of the elliptic spin Calogero-Moser models. In this way we generalize the results already obtained for $\mathcal{N}=4$ $\mathrm{SU}(N)$ SYM, where a relation between the discrete solutions to the Bethe Ansatz Equations and the massive vacua of its $\mathcal{N}=1^*$ massive deformation was conjectured. We conclude our analysis by determining the contributions of the new descendant solutions to the index.

hep-th↗

arXiv2026

Six Easy Pieces: interplays among dualities in 4d, 3d and 2d

In this paper we consider 4d $\mathcal{N}=1$ $\mathrm{SU}(N)$ gauge theories with $N+1$ fundamentals, five antifundamentals and a conjugate two index antisymmetric tensor. The model has been shown to be in a mixed phase in the IR, splitting in an interacting non-Abelian Coulomb phase and a free magnetic phase. Through tensor deconfinement, we show that baryonic deformations lead to a non-Abelian free magnetic phase. Along the analysis we obtain a duality with symplectic SQCD that can be further reduced to 3d and 2d. In the 3d case the analysis of the three sphere partition function allows one to obtain dualities between $\mathrm{SU}(N)$ with a two index symmetric tensor and $\mathrm{SO}(N)$ theories. On the other hand, in 2d we recover dualities already known in the literature and propose new ones between special unitary and symplectic gauge theories.

hep-th↗

arXiv2026

Overlooking 3d dualities from mezzanines and balconies

We derive new 3d $\mathcal{N}=2$ dualities with $\mathrm{U}(N)$ gauge groups involving pairs of two-index tensors interacting through a quartic superpotential, (anti)-fundamentals and possibly an adjoint. A strong hint for their validity follows from T-duality on brane setups with O6 planes and stacks of multiple NS fivebranes. These setups engineer two families of 4d models known in the literature as mezzanine and balcony of type $A_k$ and $D_{k+2}$. In 4d these models admit a generalization of Seiberg duality, tested also at the brane level. We study the reduction of such dualities from both the brane and the field theory perspective and we establish the matching of the three-sphere partition functions, assuming the validity of the 4d superconformal indices. The latter is achieved through a double scaling limit, whose structure is dictated by the brane picture, and it requires the validity of new 3d confining dualities for quivers with two gauge nodes. Moreover we provide a proof of these confining dualities via the tensor deconfinement technique.

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arXiv2025

4d/3d reduction of dualities with O6

We consider $\mathrm{U}(N)$ gauge theories with a pair of two-index tensors interacting through a quartic superpotential, in addition to fundamentals and antifundamentals. The models have a brane engineering in terms of NS, D4, D6 branes and an O6 plane. Depending on the representation of the tensorial matter we have either an O6$^{+}$ plane, an O6$^{-}$ plane or a combined state of O6$^{+}$ and O6$^{-}$, with the addition of 8 semi-infinite half-D6 branes, where the last case realizes a chiral theory. The 4d IR duality is realized through an HW transition in the brane description. Here we study the circle reduction of these dualities from the brane perspective by T-dualizing along the compact direction. We then compare the results against the one obtained from field theoretical considerations and from localization, finding a precise agreement. When we consider the reduction of the 4d superconformal index to the 3d squashed three sphere partition function we observe that it is not always possible to obtain convergent 3d result with the standard reduction prescription, and that the double scaling limit is necessary.

hep-th↗

arXiv2025

On the zoology of 2d $\mathcal{N}=(0,2)$ dualities of gauge theories with antisymmetric matter

In this paper we investigate and propose new dualities involving 2d gauge theories with $\mathcal{N}=(0,2)$ supersymmetry. In the first part of the paper we focus on $\mathrm{SU}(n)$ gauge theories with two antisymmetric chirals. The gauge theories are non-anomalous if we consider, in addition to such matter content, $n_f$ fundamental and $n_a$ antifundamental chirals, provided the constraint $n_f+n_a=4$. By exploring the five possibile scenarios arising from this constraint we provide in each case evidences of a dual LG description, by matching the 't Hooft anomalies and deriving the relation between the elliptic genera in terms of other more fundamental dualities. In the second part of the paper we provide a 4d origin for a gauge/LG duality already stated in the literature, that does not descend from any known s-confining duality. In the last part of the paper we focus on dualities for $\mathrm{SU}(n)$ and $\mathrm{USp}(2n)$ models with antisymmetric Fermi multiplets, obtained from dimensional reduction of 4d parent dualities.

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