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We analyze various brane configurations corresponding to field theories in three, four and five dimensions. We find brane configurations which correspond to three dimensional N=2 and four dimensional N=1 supersymmetric QCD theories with…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Amihay Hanany

We develop techniques to calculate an index for four dimensional superconformal field theories. This superconformal index is counting BPS operators which preserve only one supercharge. To calculate the superconformal index we quantize the…

High Energy Physics - Theory · Physics 2007-07-26 Christian Romelsberger

In this paper we compute the superconformal index of 2d (2,2) supersymmetric gauge theories. The 2d superconformal index, a.k.a. flavored elliptic genus, is computed by a unitary matrix integral much like the matrix integral that computes…

High Energy Physics - Theory · Physics 2015-06-15 Abhijit Gadde , Sergei Gukov

The superconformal index of a three-dimensional supersymmetric field theory can be expressed in terms of basic hypergeometric integrals. By comparing the indices of dual theories, one can find new integral identities for basic…

High Energy Physics - Theory · Physics 2016-04-06 Ilmar Gahramanov , Hjalmar Rosengren

We calculate and study the general superconformal index for the 6d U(N) (2,0) theory with four chemical potentials, from the indices of gauge theories on CP^2 x R. Our index agrees with the large N supergravity index on AdS_7 x S^4 at low…

High Energy Physics - Theory · Physics 2013-07-30 Hee-Cheol Kim , Seok Kim , Sung-Soo Kim , Kimyeong Lee

There are two major ways of constructing 4d $\mathcal{N}=2$ superconformal field theories (SCFTs): the first one is putting a 6d $(2,0)$ theory on a punctured Riemann surface (class-S theory), and the second one is putting type IIB string…

High Energy Physics - Theory · Physics 2023-05-31 Bohan Li , Dan Xie , Wenbin Yan

We determine the $d+1$ dimensional topological field theory, which encodes the higher-form symmetries and their 't Hooft anomalies for $d$-dimensional QFTs obtained by compactifying M-theory on a non-compact space $X$. The resulting theory,…

High Energy Physics - Theory · Physics 2023-08-02 Fabio Apruzzi , Federico Bonetti , Iñaki García Etxebarria , Saghar S. Hosseini , Sakura Schafer-Nameki

We describe an approach to classifying four-dimensional conformal field theories with N=2 supersymmetry and a Coulomb branch of vacua with the topology of the complex plane. We also discuss the Higgs/mixed branches and conformal/flavor…

High Energy Physics - Theory · Physics 2015-11-03 Yongchao Lü

We review some recent developments in the 6 dimensional (2, 0) superconformal field theories, focusing on their BPS spectra in the Coulomb and symmetric phases computed by various Witten indices. We shall discuss the instanton partition…

High Energy Physics - Theory · Physics 2017-10-25 Seok Kim , Kimyeong Lee

Mixed anomalies, higher form symmetries, two-group symmetries and non-invertible symmetries have proved to be useful in providing non-trivial constraints on the dynamics of quantum field theories. We study mixed anomalies involving discrete…

High Energy Physics - Theory · Physics 2023-02-08 Noppadol Mekareeya , Matteo Sacchi

We consider effective actions for six-dimensional non-critical superstrings. We show that the addition of $N$ units of R-R flux and of $N_f$ space-time filling D5-branes produces $AdS_5 \times S^1$ solutions with curvature comparable to the…

High Energy Physics - Theory · Physics 2009-11-10 Igor R. Klebanov , Juan M. Maldacena

Equations of motion and the lagrangian are derived explicitely for Dual D=10, N=1 Supergravity considered as a field theory limit of a Fivebrane. It is used the mass-shell solution of Heterotic String Bianchi Identites obtained in the…

High Energy Physics - Theory · Physics 2009-10-30 N. A. Saulina , M. V. Terentiev , K. N. Zyablyuk

We study (non-renormalizable) five dimensional supersymmetric field theories. The theories are parametrized by quark masses and a gauge coupling. We derive the metric on the Coulomb branch exactly. We use stringy considerations to learn…

High Energy Physics - Theory · Physics 2009-09-15 Nathan Seiberg

We initiate the classification of unitary superconformal defects in unitary superconformal field theories (SCFT) of diverse spacetime dimensions $3\leq d \leq 6$. Our method explores general constraints from the defect superconformal…

High Energy Physics - Theory · Physics 2020-10-13 Nathan B. Agmon , Yifan Wang

We consider Type IIB 5-brane web diagrams for a 5D $Sp(N)$ gauge theory with an antisymmetric hypermultiplet and $N_f$ fundamental hypermultiplets. The corresponding 5-branes can be obtained by Higgsing a 5-brane web for quiver gauge…

High Energy Physics - Theory · Physics 2021-10-15 Shi Cheng , Sung-Soo Kim

We develop both the gravity and field theory sides of the Karch-Randall conjecture that the near-horizon description of a certain D5-D3 brane configuration in string theory, realized as AdS_5 x S^5 bisected by an AdS_4 x S^2 "brane", is…

High Energy Physics - Theory · Physics 2009-09-17 Oliver DeWolfe , Daniel Z. Freedman , Hirosi Ooguri

We consider the compactification of the dual form of $N=1$ $D=10$ supergravity on a six-dimensional Calabi-Yau manifold. An $N=1$ off-shell supergravity effective Lagrangian in four dimensions can be constructed in a dual version of the…

High Energy Physics - Theory · Physics 2010-04-06 R. D'Auria , S. Ferrara , M. Villasante

In this paper we begin mapping out the space of rank-2 $\mathcal{N}=2$ superconformal field theories (SCFTs) in four dimensions. This represents an ideal set of theories which can be potentially classified using purely quantum…

High Energy Physics - Theory · Physics 2022-08-10 Mario Martone

We present a proposal for the description of the Higgs branch of four-dimensional N=2 supersymmetric Yang-Mills theories in the context of the AdS/CFT correspondence. We focus on a finite Sp(N) N=2 theory arising as dual of a configuration…

High Energy Physics - Theory · Physics 2008-11-26 Zachary Guralnik , Stefano Kovacs , Bogdan Kulik

We explore N=(1,0) superconformal six-dimensional theories arising from M5-branes probing a transverse A_k singularity. Upon circle compactification to 5 dimensions, we describe this system with a dual pq-web of five-branes and propose the…

High Energy Physics - Theory · Physics 2016-10-12 Sergio Benvenuti , Giulio Bonelli , Massimiliano Ronzani , Alessandro Tanzini