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We define and compute algebraically a "perturbative part" of protected sphere correlation functions in the M2 brane SCFTs. These correlation functions are expected to have a holographic description in terms of twisted, $\Omega$-deformed…

High Energy Physics - Theory · Physics 2025-02-12 Davide Gaiotto , Jacob Abajian

We study the interplay between four-derivative 4d gauged supergravity, holography, wrapped M5-branes, and theories of class $\mathcal{R}$. Using results from Chern-Simons theory on hyperbolic three-manifolds and the 3d-3d correspondence we…

High Energy Physics - Theory · Physics 2021-04-28 Nikolay Bobev , Anthony M. Charles , Dongmin Gang , Kiril Hristov , Valentin Reys

We provide a formula for the partition function of five-dimensional $\mathcal{N}=1$ gauge theories on $\mathcal{M}_4 \times S^1$, topologically twisted along $\mathcal{M}_4$ in the presence of general background magnetic fluxes, where…

High Energy Physics - Theory · Physics 2018-11-28 Seyed Morteza Hosseini , Itamar Yaakov , Alberto Zaffaroni

Following arXiv:1501.03019 [hep-th], we study de Sitter space and spherical subregions on a constant boundary Euclidean time slice of the future boundary in the Poincare slicing. We show that as in that case, complex extremal surfaces exist…

High Energy Physics - Theory · Physics 2015-12-23 K. Narayan

In the framework of the AdS/CFT duality, we calculate the supersymmetric partition function of the superconformal field theories living in the world volume of either $N$ $M2$-branes or $N$ $M5$-branes. We used the dual supergravity…

High Energy Physics - Theory · Physics 2009-02-09 Pedro J. Silva

We compute the partition function of $\mathcal N=2$ supersymmetric mixed dimensional QED on a squashed hemisphere using localization. Mixed dimensional QED is an abelian gauge theory coupled to charged matter fields at the boundary. The…

High Energy Physics - Theory · Physics 2021-07-28 Rajesh Kumar Gupta , Augniva Ray , Karunava Sil

Scattering amplitudes in $d+2$ dimensions can be expressed in terms of a conformal basis, for which the S-matrix behaves as a CFT correlation function on the celestial $d$-sphere. We explain how compact expressions for the full tree-level…

High Energy Physics - Theory · Physics 2020-01-08 Tim Adamo , Lionel Mason , Atul Sharma

We compute the worldsheet sphere partition function of string theory on global AdS$_3$ with pure NS-NS flux. Because of an unfixed M\"obius symmetry on the worldsheet, there is a cancellation of infinities and only a part of the answer is…

High Energy Physics - Theory · Physics 2024-01-24 Lorenz Eberhardt , Sridip Pal

We investigate a squashing deformation of 3d N=2 supersymmetric theories on three-sphere, which have four supercharges. The deformation preserves SU(2)_L x U(1)_r isometry and all four supersymmetries. We compute the partition function and…

High Energy Physics - Theory · Physics 2013-05-30 Yosuke Imamura , Daisuke Yokoyama

A relation between the 4d superconformal index and the S^3 partition function is studied with focus on the 4d and 3d actions used in localization. In the case of vanishing Chern-Simons levels and round S^3 we explicitly show that the 3d…

High Energy Physics - Theory · Physics 2015-05-27 Yosuke Imamura

We continue the holographic exploration of the conformal manifold of 3d $\mathcal{N}=2$ S-fold SCFTs constructed by gauging the flavor symmetry of the Gaiotto-Witten $T[U(N)]$ theory. We show how to uplift the two-parameter family of…

High Energy Physics - Theory · Physics 2024-02-09 Nikolay Bobev , Fridrik Freyr Gautason , Jesse van Muiden

In this article we study large central charge partition function and entanglement entropy of $T\bar{T}$ deformed two dimensional conformal field theory, following the approach to $T\bar{T}$ deformation as integrated infinitesimal double…

High Energy Physics - Theory · Physics 2021-02-16 Yi Li

We study the macroscopics of 2d $\mathcal{N}=(0,4)$ SCFTs arising from F-theory constructions. The class of 2d SCFTs we consider live on black strings which are obtained by wrapping D3-branes on a curve in the base of a possibly singular…

High Energy Physics - Theory · Physics 2020-12-02 Christopher Couzens , Huibert het Lam , Kilian Mayer , Stefan Vandoren

The AGT conjecture relates \mathcal{N}=2 4d SUSY gauge theories to 2d CFTs. Matrix model techniques can be used to investigate both sides of this relation. The large N limit refers here to the size of Young tableaux in the expression of the…

High Energy Physics - Theory · Physics 2013-07-02 Jean-Emile Bourgine

We investigate Cauchy Slice Holography in de Sitter spacetime. By performing a $T^2$ deformation of a (bottom-up) dS/CFT model, we obtain a holographic theory living on flat Cauchy slices of de Sitter, for which time is an emergent…

High Energy Physics - Theory · Physics 2026-01-28 Goncalo Araujo-Regado , Ayngaran Thavanesan , Aron C. Wall

We analyze topological mass terms of BF type arising in supersymmetric M-theory compactifications to $AdS_5$. These describe spontaneously broken higher-form gauge symmetries in the bulk. Different choices of boundary conditions for the BF…

High Energy Physics - Theory · Physics 2021-04-07 Ibrahima Bah , Federico Bonetti , Ruben Minasian

We test the AdS/CFT correspondence in the case of a d=4 N=2 SCFT by comparing chiral anomalies which are of order N in the 't Hooft large N limit. These include corrections of order 1/N to the conformal anomaly, thus testing the…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Jacek Pawelczyk , Stefan Theisen , Shimon Yankielowicz

We apply the theory of harmonic analysis on the fundamental domain of $SL(2,\mathbb{Z})$ to partition functions of two-dimensional conformal field theories. We decompose the partition function of $c$ free bosons on a Narain lattice into…

High Energy Physics - Theory · Physics 2022-05-31 Nathan Benjamin , Scott Collier , A. Liam Fitzpatrick , Alexander Maloney , Eric Perlmutter

We analyze several aspects of the recent construction of three-dimensional conformal gauge theories by Aharony et al. in various regimes. We pay special attention to understanding how the M-theory geometry and interpretation can be…

High Energy Physics - Theory · Physics 2009-02-23 David Berenstein , Diego Trancanelli

We obtain the brane setup describing 3d $\mathcal{N}=2$ dualities for $USp(2N_c)$ and $U(N_c)$ SQCD with monopole superpotentials. This classification follows from a complete analysis of affine and twisted affine compactifications from 4d.…

High Energy Physics - Theory · Physics 2019-08-07 Antonio Amariti , Luca Cassia , Ivan Garozzo , Noppadol Mekareeya