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In self-supervised representation learning, a common idea behind most of the state-of-the-art approaches is to enforce the robustness of the representations to predefined augmentations. A potential issue of this idea is the existence of…

Machine Learning · Computer Science 2021-08-26 Tianyu Hua , Wenxiao Wang , Zihui Xue , Sucheng Ren , Yue Wang , Hang Zhao

Hypergraphs are useful mathematical models for describing complex relationships among members of a structured graph, while hyperdigraphs serve as a generalization that can encode asymmetric relationships in the data. However, obtaining…

Algebraic Topology · Mathematics 2023-04-10 Dong Chen , Jian Liu , Jie Wu , Guo-Wei Wei

We show that four-dimensional superconformal algebras admit an infinite-dimensional derived enhancement after performing a holomorphic twist. The type of higher symmetry algebras we find are closely related to algebras studied by…

Mathematical Physics · Physics 2021-11-05 Ingmar Saberi , Brian R. Williams

In the current work we study various models of holographic superconductors at low temperature. Generically the zero temperature limit of those models are solitonic solution with a zero sized horizon. Here we generalized simple version of…

High Energy Physics - Theory · Physics 2011-06-17 Pallab Basu

We study possible geometries and R-symmetry breaking patterns that lead to globally BPS surface operators in the six dimensional $\mathcal{N}=(2,0)$ theory. We find four main classes of solutions in different subspaces of $\mathbb{R}^6$ and…

High Energy Physics - Theory · Physics 2021-04-27 Nadav Drukker , Maxime Trépanier

Realizations of the holographic correspondence in String/M theory typically involve spacetimes of the form $AdS \times Y$ where $Y$ is some internal space which geometrizes an internal symmetry of the dual field theory, hereafter referred…

High Energy Physics - Theory · Physics 2024-04-09 Hardik Bohra , Sumit R. Das , Gautam Mandal , Kanhu Kishore Nanda , Mohamed Hany Radwan , Sandip P. Trivedi

We analyze the supersymmetry transformations of gauged $SO(4)$ supergravity coupled to extra hypermultiplets in three dimensions, and find large families of smooth BPS solutions that preserve four supersymmetries. These BPS solutions are…

High Energy Physics - Theory · Physics 2021-09-15 Anthony Houppe , Nicholas P. Warner

Combining the effects of fluxes and gaugino condensation in heterotic supergravity, we use a ten-dimensional approach to find a new class of four-dimensional supersymmetric AdS compactifications on almost-Hermitian manifolds of SU(3)…

High Energy Physics - Theory · Physics 2010-12-03 Andrew R. Frey , Matthew Lippert

The analytic structure of holographic correlation functions at finite temperature contains information about curvature singularities of black holes in AdS. We compute the Operator Product Expansion (OPE) coefficients of the holographic…

High Energy Physics - Theory · Physics 2025-11-14 Nejc Čeplak , Hong Liu , Andrei Parnachev , Samuel Valach

We find the warped AdS_4 x K type-IIB supergravity solutions holographically dual to a large family of three dimensional \cN=4 superconformal field theories labeled by a pair (\rho,\hat\rho) of partitions of N. These superconformal theories…

High Energy Physics - Theory · Physics 2015-05-28 Benjamin Assel , Costas Bachas , John Estes , Jaume Gomis

We consider a class of N=2 conformal SU(N) SYM theories in four dimensions with matter in the fundamental, two-index symmetric and anti-symmetric representations, and study the corresponding matrix model provided by localization on a sphere…

High Energy Physics - Theory · Physics 2020-10-28 M. Beccaria , M. Billo , F. Galvagno , A. Hasan , A. Lerda

Holographic tensor networks serve as toy models for the Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence, capturing many of its essential features in a concrete manner. However, existing holographic tensor network models…

High Energy Physics - Theory · Physics 2026-05-20 Qiang Wen , Mingshuai Xu , Haocheng Zhong

We describe a new correspondence between four-dimensional conformal field theories with extended supersymmetry and two-dimensional chiral algebras. The meromorphic correlators of the chiral algebra compute correlators in a protected sector…

High Energy Physics - Theory · Physics 2015-09-30 Christopher Beem , Madalena Lemos , Pedro Liendo , Wolfger Peelaers , Leonardo Rastelli , Balt C. van Rees

We consider the quarter-BPS sector of the AdS$_5$/CFT$_4$ duality, and provide a precise matching between specific CFT states and supergravity geometries beyond the linearized approximation. In the bulk, we focus on AdS bubbles, geometries…

High Energy Physics - Theory · Physics 2025-12-09 Bogdan Ganchev , Anthony Houppe

Following the recent advances in the holographic calculation of n-point correlation functions with two "heavy" (with large quantum numbers) states at strong coupling, we extend these findings by computing specific four-point correlators of…

High Energy Physics - Theory · Physics 2014-04-01 D. Arnaudov , R. C. Rashkov

We study the anomalies of two-dimensional BPS defects in six-dimensional $\mathcal{N}=(1,0)$ superconformal field theories. Using a holographic description of these defects furnished by probe D4-branes in AdS${}_7$ solutions of…

High Energy Physics - Theory · Physics 2024-08-27 Fabio Apruzzi , Noppadol Mekareeya , Brandon Robinson , Alessandro Tomasiello

We consider three-point correlation functions for superstrings propagating in AdS$_3\times S^3 \times T^4$. In the RNS formalism, these generically involve correlators with current insertions. When vertex operators with non-trivial spectral…

High Energy Physics - Theory · Physics 2023-02-23 Sergio Iguri , Nicolas Kovensky , Julian H. Toro

C-projective structures are analogues of projective structures in the complex setting. The maximal dimension of the Lie algebra of c-projective symmetries of a complex connection on an almost complex manifold of C-dimension $n>1$ is…

Differential Geometry · Mathematics 2017-04-26 Boris Kruglikov , Vladimir Matveev , Dennis The

Almost hypercomplex manifolds with Hermitian and anti-Hermitian metrics are considered. A linear connection $D$ is introduced such that the structure of these manifolds is parallel with respect to D. Of special interest is the class of the…

Differential Geometry · Mathematics 2012-05-08 Mancho Manev

We consider the correlation functions of Coulomb branch operators in four-dimensional N=2 Superconformal Field Theories (SCFTs) involving exactly one anti-chiral operator. These extremal correlators are the "minimal" non-holomorphic local…

High Energy Physics - Theory · Physics 2017-01-26 Efrat Gerchkovitz , Jaume Gomis , Nafiz Ishtiaque , Avner Karasik , Zohar Komargodski , Silviu S. Pufu