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Using the harmonic superspace approach, we perform a comprehensive study of the structure of divergences in the higher-derivative $6D$, ${\cal N}=(1,0)$ supersymmetric Yang--Mills theory coupled to the hypermultiplet in the adjoint…

High Energy Physics - Theory · Physics 2025-04-01 I. L. Buchbinder , A. S. Budekhina , E. A. Ivanov , K. V. Stepanyantz

We study the half-BPS circular Wilson loop in ${\cal N}=4$ super Yang-Mills with orthogonal gauge group. By supersymmetric localization, its expectation value can be computed exactly from a matrix integral over the Lie algebra of $SO(N)$.…

High Energy Physics - Theory · Physics 2020-06-22 Simone Giombi , Bendeguz Offertaler

We consider the type IIB Green-Schwarz superstring theory on AdS(2)xS(2)xT(6) supported by homogeneous Ramond-Ramond 5-form flux and its type IIA T-duals. One motivation is to understand the solution of this theory based on integrability.…

High Energy Physics - Theory · Physics 2015-05-27 D. Sorokin , A. Tseytlin , L. Wulff , K. Zarembo

Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of $d+1$-dimensional $AdS$ space with a…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

Maximally supersymmetric Yang-Mills theories have several remarkable properties, among which are the cancellation of UV divergences, factorization of higher loop corrections and possible integrability. Much attention has been attracted to…

High Energy Physics - Theory · Physics 2015-06-19 L. V. Bork , D. I. Kazakov , D. E. Vlasenko

We construct supersymmetric AdS_3 solutions in F-theory, that is Type IIB supergravity with varying axio-dilaton, which are holographically dual to 2d N=(0,4) superconformal field theories with small superconformal algebra. In F-theory…

High Energy Physics - Theory · Physics 2017-09-13 Christopher Couzens , Craig Lawrie , Dario Martelli , Sakura Schafer-Nameki , Jin-Mann Wong

In these lecture notes we first assemble the basic ingredients of supersymmetric gauge theories (particularly N=4 super-Yang-Mills theory), supergravity, and superstring theory. Brane solutions are surveyed. The geometry and symmetries of…

High Energy Physics - Theory · Physics 2007-05-23 Eric D'Hoker , Daniel Z. Freedman

We discuss the spectrum of states of IIB supergravity on $AdS_5\times S^5$ in a manifest $SU(2,2/4)$ invariant setting. The boundary fields are described in terms of N=4 superconformal Yang-Mills theory and the proposed correspondence…

High Energy Physics - Theory · Physics 2009-10-31 Sergio Ferrara , Christian Fronsdal , Alberto Zaffaroni

We construct type IIB supergravity duals of non-anticommutative deformed N = 4 SU(N) gauge theories. We consider in particular deformations preserving N = (1,0) and N = (1/2,0) supersymmetry. Such theories can be realised on N D3-branes in…

High Energy Physics - Theory · Physics 2010-02-03 Chong-Sun Chu , Shou-Huang Dai , Douglas J. Smith

The large N limit of extremal non-supersymmetric Type-I five-dimensional string black holes is studied from the point of view of D-branes. We find that the agreement between the D-brane and the black-hole picture is due to an asymptotic…

High Energy Physics - Theory · Physics 2016-09-06 J. L. F. Barbon , J. Manes , M. A. Vazquez-Mozo

We study the classical geometry associated to fractional D3-branes of type IIB string theory on R^4/Z_2 which provide the gravitational dual for N=2 super Yang-Mills theory in four dimensions. As one can expect from the lack of conformal…

High Energy Physics - Theory · Physics 2010-02-03 M. Bertolini , P. Di Vecchia , M. Frau , A. Lerda , R. Marotta , I. Pesando

We consider N=2 superconformal theories defined on a 3+1 dimensional hyperplane intersection of two sets of M5 branes. These theories have (tensionless) BPS string solitons. We use a dual supergravity formulation to deduce some of their…

High Energy Physics - Theory · Physics 2009-09-29 Mohsen Alishahiha , Yaron Oz

We consider a non-supersymmetric example of the AdS/CFT duality which generalizes the supersymmetric exactly marginal deformation constructed in hep-th/0502086. The string theory background we use was found in hep-th/0503201 from the AdS_5…

High Energy Physics - Theory · Physics 2009-09-17 S. A. Frolov , R. Roiban , A. A. Tseytlin

We argue the equivalence between the infrared conformal field theory of the 3d $\mathcal{N}=8$ supersymmetric Yang-Mills theories of ABCD ($U(N), SO(2N+1), Sp(2N), O(2N)$) gauge groups and the ABJ(M) theories of $U(N)_k\times U(\tilde…

High Energy Physics - Theory · Physics 2017-09-07 Dongmin Gang , Eunkyung Koh , Kimyeong Lee , Jaemo Park

Upon compactification on a circle, SU(N) gauge theory with all fields in the adjoint representation acquires a $Z_N$ global symmetry because the center of the gauge group is $Z_N$. For N=4 super Yang-Mills theory, we show how this $Z_N$…

High Energy Physics - Theory · Physics 2010-04-07 Ofer Aharony , Edward Witten

In this paper we investigate three-dimensional superconformal gauge theories with N=3 supersymmetry. Independently from specific models, we derive the shortening conditions for unitary representations of the Osp(3|4) superalgebra and we…

High Energy Physics - Theory · Physics 2009-10-31 M. Billo` , D. Fabbri , P. Fre` , P. Merlatti , A. Zaffaroni

We systematically study supersymmetric embeddings of D-brane probes of different dimensionality in the AdS_5xY^{p,q} background of type IIB string theory. The main technique employed is the kappa symmetry of the probe's worldvolume theory.…

High Energy Physics - Theory · Physics 2009-11-11 Felipe Canoura , Jose D. Edelstein , Leopoldo A. Pando Zayas , Alfonso V. Ramallo , Diana Vaman

We study the \N=4 SYM theory with SU(N) gauge group in the large N limit, deformed by giving equal mass to the four adjoint fermions. With this modification, a potential is dynamically generated for the six scalars in the theory, \phi^i. We…

High Energy Physics - Theory · Physics 2008-11-26 Assaf Patir , Dori Reichmann

In the pure large-N Yang-Mills theory there is a quasi-BPS sector that is exactly solvable at large N. It follows an exact beta function and the glueball spectrum in this sector. The main technical tool is a new holomorphic loop equation…

High Energy Physics - Theory · Physics 2015-03-13 Marco Bochicchio

We study an anisotropic scale transformation in the worldsheet description of D3-branes in Type IIB theory, and show that the transformation is really a symmetry in a region near D3-branes. AdS/CFT correspondence follows from this symmetry.…

High Energy Physics - Theory · Physics 2008-11-26 Hikaru Kawai , Takao Suyama