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Effective superpotentials for the phase with a confined photon are obtained in $N=1$ supersymmetric gauge theories. We use the results to derive the hyperelliptic curves which describe the Coulomb phase of $N=2$ theories with classical…

High Energy Physics - Theory · Physics 2009-10-30 Seiji Terashima , Sung-Kil Yang

We exhibit $N=1$ supersymmetric field theories in confining, Coulomb and Higgs phases. The superpotential and the gauge kinetic terms are holomorphic and can be determined exactly in the various phases. The Coulomb phase generically has…

High Energy Physics - Theory · Physics 2009-09-15 K. Intriligator , N. Seiberg

We study low-energy effective superpotentials for the phase with a confined photon in N=1 supersymmetric gauge theories with an adjoint matter $\Phi$ and fundamental flavors $Q, \tilde Q$. Arbitrary classical gauge groups are considered.…

High Energy Physics - Theory · Physics 2009-10-30 T. Kitao , S. Terashima , S. -K. Yang

We obtain a low-energy effective superpotential for a phase with a single confined photon in N=1 gauge theory with an adjoint matter with ADE gauge groups. The expectation values of gauge invariants built out of the adjoint field…

High Energy Physics - Theory · Physics 2007-05-23 Seiji Terashima , Sung-Kil Yang

We consider N=1 supersymmetric gauge theories with a simple classical gauge group, one adjoint $\Phi, N_f$ pairs ($Q_i,\tilde{Q_i}$) of (fundamental, anti-fundamental) and a tree-level superpotential with terms of the Landau-Ginzburg form…

High Energy Physics - Theory · Physics 2009-10-30 Amit Giveon , Oskar Pelc , Eliezer Rabinovici

We derive the exact effective superpotential in 4d, N=1 supersymmetric SU(2) gauge theories with $N_A$ triplets and $2N_f$ doublets of matter superfields. We find the quantum vacua of these theories; the equations of motion (for $N_A=1$)…

High Energy Physics - Theory · Physics 2009-10-28 S. Elitzur , A. Forge , A. Giveon , E. Rabinovici

In this paper we study some interesting properties of the effective superpotential of N=1 supersymmetric gauge theories with fundamental matter, with the help of the Dijkgraaf--Vafa proposal connecting supersymmetric gauge theories with…

High Energy Physics - Theory · Physics 2009-11-10 Marta Gomez-Reino

We present an explicit non-perturbative solution of N=2 supersymmetric SU(N_c) gauge theory with N_f \le 2N_c flavors generalizing results of Seiberg and Witten for N_c=2.

High Energy Physics - Theory · Physics 2011-10-11 P. C. Argyres , M. R. Plesser , A. Shapere

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…

High Energy Physics - Theory · Physics 2007-05-23 Kristian D. Kennaway , Nicholas P. Warner

We begin an investigation of supersymmetric theories based on exceptional groups. The flat directions are most easily parameterized using their correspondence with gauge invariant polynomials. Symmetries and holomorphy tightly constrain the…

High Energy Physics - Theory · Physics 2016-08-24 Steven B. Giddings , John M. Pierre

We construct an effective superpotential that describes dynamical flavor symmetry breaking in supersymmetric N=1 SO(N_c) theories with N_f-flavor quarks for N_f >= N_c. Our superpotential induces spontaneous flavor symmetry breaking of…

High Energy Physics - Theory · Physics 2015-06-26 Masaki Yasue

We consider N=1 SU(N_c) gauge theory with an adjoint matter field $\Phi$, N_f flavors of fundamentals Q and antifundamentals \tQ, and tree-level superpotential of the form $\tQ\Phi^l Q$. This superpotential is relevant or marginal for…

High Energy Physics - Theory · Physics 2016-09-06 Anton Kapustin

We determine the effective prepotential for N=2 supersymmetric SU(N_c) gauge theories with an arbitrary number of flavors N_f < 2N_c, from the exact solution constructed out of spectral curves. The prepotential is the same for the several…

High Energy Physics - Theory · Physics 2009-10-30 Eric D'Hoker , I. M. Krichever , D. H. Phong

We study the dilaton-dependence of the effective action for N=1, SU(N1) x SU(N2) models with one generation of vectorlike matter transforming in the fundamental of both groups. We treat in detail the confining and Coulomb phases of these…

High Energy Physics - Theory · Physics 2010-02-03 C. P. Burgess , A. de la Macorra , I. Maksymyk , F. Quevedo

We analyze the low energy behavior of N=1 supersymmetric gauge theories with SU(N_c) x SU(N_c) gauge group and a Landau-Ginzburg type superpotential. These theories contain fundamentals transforming under one of the gauge groups as well as…

High Energy Physics - Theory · Physics 2016-08-25 Martin Gremm

We derive the effective superpotential for an N=1 SU(N_c) gauge theory with one massless adjoint field and N_f massless fundamental flavors and cubic tree-level superpotential for the adjoint field. This is a generalization of the…

High Energy Physics - Theory · Physics 2009-11-10 Matthias Klein , Sang-Jin Sin

We analyze the phases of supersymmetric chiral gauge theories with an antisymmetric tensor and (anti)fundamental flavors, in the presence of a classically marginal superpotential deformation. Varying the number of flavors that appear in the…

High Energy Physics - Theory · Physics 2015-05-30 Nathaniel Craig , Rouven Essig , Anson Hook , Gonzalo Torroba

According to the standard lore only single monopoles contribute to the superpotential on the Coulomb branch of 3D ${\mathcal N}=2$ SUSY gauge theories. However we argue that multi-monopole configurations can also generate superpotential…

High Energy Physics - Theory · Physics 2018-07-04 Csaba Csáki , Mario Martone , Yuri Shirman , John Terning

We extend the results of Cachazo, Seiberg and Witten to N=1 supersymmetric gauge theories with gauge groups SO(2N), SO(2N+1) and Sp(2N). By taking the superpotential which is an arbitrary polynomial of adjoint matter \Phi as a small…

High Energy Physics - Theory · Physics 2009-11-10 Changhyun Ahn , Yutaka Ookouchi

We study the low-energy behavior of N=1 supersymmetric gauge theories with product gauge groups SU(N)^M and M chiral superfields transforming in the fundamental representation of two of the SU(N) factors. These theories are in the Coulomb…

High Energy Physics - Theory · Physics 2009-09-17 Csaba Csaki , Joshua Erlich , Daniel Freedman , Witold Skiba
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