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We provide evidence of the relation between supersymmetric gauge theories and matrix models beyond the planar limit. We compute gravitational R^2 couplings in gauge theories perturbatively, by summing genus one matrix model diagrams. These…

高能物理 - 理论 · 物理学 2007-05-23 Robbert Dijkgraaf , Annamaria Sinkovics , Mine Temurhan

We build a matrix model of a chiral [SU(N)]^K gauge theory (5D SQCD deconstructed down to 4D) using random unitary matrices to model chiral bifundamental fields (N,N-bar) (without (N-bar,N)). We verify the duality by matching the loop…

高能物理 - 理论 · 物理学 2009-11-11 Edoardo Di Napoli , Vadim S. Kaplunovsky

We consider the effective superpotentials of N=1 SU(N_c) and U(N_c) supersymmetric gauge theories that are obtained from the N=2 theory by adding a tree-level superpotential. We show that several of the techniques for computing the…

高能物理 - 理论 · 物理学 2007-05-23 Kristian D. Kennaway , Nicholas P. Warner

We use the matrix model -- gauge theory correspondence of Dijkgraaf and Vafa in order to construct the geometry encoding the exact gaugino condensate superpotential for the N=1 U(N) gauge theory with adjoint and symmetric or anti-symmetric…

高能物理 - 理论 · 物理学 2010-12-03 A. Klemm , K. Landsteiner , C. I. Lazaroiu , I. Runkel

We study the relation between a supermatrix model and the free 4D, N=1 supersymmetric field theory of a massless supermultiplet with spins (3, 5/2). In order to do this, we construct a superfield formulation of the theory. We show that…

高能物理 - 理论 · 物理学 2008-11-26 Takashi Saitou

We investigate supersymmetric QCD with N_c+1 flavors using an extension of the recently proposed relation between gauge theories and matrix models. The impressive agreement between the two sides provides a beautiful confirmation of the…

高能物理 - 理论 · 物理学 2009-11-10 Iosif Bena , Hitoshi Murayama , Radu Roiban , Radu Tatar

We consider the supersymmetric field theories on the noncommutative $R^4$ using the superspace formalism on the commutative space. The terms depending on the parameter of the noncommutativity $\Theta$ are regarded as the interactions. In…

高能物理 - 理论 · 物理学 2009-10-31 Seiji Terashima

Using N=1 superspace techniques in four dimensions we show how to perturbatively compute the superpotential generated for the glueball superfield upon integrating out massive charged fields. The technique applies to arbitrary gauge groups…

高能物理 - 理论 · 物理学 2010-12-03 R. Dijkgraaf , M. T. Grisaru , C. S. Lam , C. Vafa , D. Zanon

Motivated by the duality conjecture of Dijkgraaf and Vafa between supersymmetric gauge theories and matrix models, we derive the effective superpotential of N=1 supersymmetric gauge theory with gauge group SO(N_c) and arbitrary tree level…

高能物理 - 理论 · 物理学 2008-11-26 Pravina Borhade , P. Ramadevi

We describe the effective supergravity theory present below the scale of spontaneous gauge symmetry breaking due to an anomalous U(1), obtained by integrating out tree-level interactions of massive modes. A simple case is examined in some…

高能物理 - 理论 · 物理学 2014-11-18 Mary K. Gaillard , Joel Giedt

A hermitian one-matrix model with an even quartic potential exhibits a third-order phase transition when the cuts of the matrix model curve coalesce. We use the known solutions of this matrix model to compute effective superpotentials of an…

高能物理 - 理论 · 物理学 2015-06-26 Hiroyuki Fuji , Shun'ya Mizoguchi

We use matrix model technology to study the N=2 U(N) gauge theory with N_f massive hypermultiplets in the fundamental representation. We perform a completely perturbative calculation of the periods a_i and the prepotential F(a) up to the…

高能物理 - 理论 · 物理学 2010-02-03 S. Naculich , H. Schnitzer , N. Wyllard

We derive the superpotential of gauge theories having matter fields in the fundamental representation of gauge fields by using the method of Dijkgraaf and Vafa. We treat the theories with one flavour and reproduce a well-known…

高能物理 - 理论 · 物理学 2010-12-03 Hisao Suzuki

We use the matrix model to describe the N=2 SO(N)/Sp(N) supersymmetric gauge theories with massive hypermultiplets in the fundamental representation. By taking the tree level superpotential perturbation made of a polynomial of a scalar…

高能物理 - 理论 · 物理学 2010-02-05 Changhyun Ahn , Soonkeon Nam

We argue that for a large class of N=1 supersymmetric gauge theories the effective superpotential as a function of the glueball chiral superfield is exactly given by a summation of planar diagrams of the same gauge theory. This perturbative…

高能物理 - 理论 · 物理学 2007-05-23 Robbert Dijkgraaf , Cumrun Vafa

We derive the general supertrace formula for a system with $N$ chiral superfields and one nilpotent chiral superfield in global and local supersymmetry. The nilpotent multiplet is realized by taking the scalar-decoupling limit of a chiral…

高能物理 - 理论 · 物理学 2018-05-09 Divyanshu Murli , Yusuke Yamada

In this paper, we give a proof of the equivalence of ${\cal N}=1$ $SO/Sp$ gauge theories deformed from ${\cal N}=2$ by the superpotential of adjoint field $\Phi$, the dual type IIB superstring theory on CY threefold geometries with fluxes…

高能物理 - 理论 · 物理学 2015-06-26 Bo Feng

Maximally supersymmetric gauge theories have experienced renewed interest due to the AdS/CFT correspondence and its conjectured S-duality. These gauge theories possess a large amount of symmetry and have quasi-integrable properties. We…

高能物理 - 理论 · 物理学 2007-05-23 Gordon Chalmers

We introduce a $N_c\times N_c$ matrix model with $\mathcal{N}=2$ supersymmetries and show its relation to the topological rigid string and the topological YM$_2$. This allows to connect the latter two theories directly. Moreover the…

高能物理 - 理论 · 物理学 2017-09-07 Jacek Pawełczyk

We consider N=1 supersymmetric U(N), SO(N), and Sp(N) gauge theories, with two-index tensor matter and added tree-level superpotential, for general breaking patterns of the gauge group. By considering the string theory realization and…

高能物理 - 理论 · 物理学 2008-11-26 Ken Intriligator , Per Kraus , Anton V. Ryzhov , Masaki Shigemori , Cumrun Vafa