scholarly journals Chiral Rings, Vacua and Gaugino Condensation of Supersymmetric Gauge Theories

2004 ◽  
Vol 2004 (08) ◽  
pp. 036-036 ◽  
Author(s):  
Peter Svrcek
Keyword(s):  
Gauge Theories ◽  
Supersymmetric Gauge Theories ◽  
Chiral Rings ◽  
Supersymmetric Gauge

scholarly journals Chiral rings and phases of supersymmetric gauge theories

2003 ◽  
Vol 2003 (04) ◽  
pp. 018-018 ◽  
Author(s):  
Freddy Cachazo ◽  
Nathan Seiberg ◽  
Edward Witten
Keyword(s):  
Gauge Theories ◽  
Supersymmetric Gauge Theories ◽  
Chiral Rings ◽  
Supersymmetric Gauge

scholarly journals Chiral Rings, Superpotentials and the Vacuum Structure of N = 1 Supersymmetric Gauge Theories

2003 ◽  
Vol 7 (2) ◽  
pp. 269-305 ◽  
Author(s):  
Andreas Brandhuber ◽  
Harald Ita ◽  
Harald Nieder ◽  
Yaron Oz ◽  
Christian Romelsberger
Keyword(s):  
Gauge Theories ◽  
Supersymmetric Gauge Theories ◽  
Vacuum Structure ◽  
Chiral Rings ◽  
Supersymmetric Gauge

scholarly journals Chiral rings, Futaki invariants, plethystics, and Gröbner bases

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Jiakang Bao ◽  
Yang-Hui He ◽  
Yan Xiao
Keyword(s):  
Moduli Spaces ◽  
Gauge Theories ◽  
Hilbert Series ◽  
Gröbner Bases ◽  
Grobner Bases ◽  
Complete Intersections ◽  
Grobner Basis ◽  
Supersymmetric Gauge Theories ◽  
Chiral Rings ◽  
Supersymmetric Gauge

Abstract We study chiral rings of 4d $$ \mathcal{N} $$ N = 1 supersymmetric gauge theories via the notion of K-stability. We show that when using Hilbert series to perform the computations of Futaki invariants, it is not enough to only include the test symmetry information in the former’s denominator. We discuss a way to modify the numerator so that K-stability can be correctly determined, and a rescaling method is also applied to simplify the calculations involving test configurations. All of these are illustrated with a host of examples, by considering vacuum moduli spaces of various theories. Using Gröbner basis and plethystic techniques, many non-complete intersections can also be addressed, thus expanding the list of known theories in the literature.

scholarly journals Singular BPS boundary conditions in $$ \mathcal{N} $$ = (2, 2) supersymmetric gauge theories

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Tadashi Okazaki ◽  
Douglas J. Smith
Keyword(s):  
String Theory ◽  
Boundary Conditions ◽  
Gauge Theories ◽  
Holomorphic Curve ◽  
Two Dimensional ◽  
Supersymmetric Gauge Theories ◽  
Special Lagrangian ◽  
Supersymmetric Gauge ◽  
M Theory

Abstract We derive general BPS boundary conditions in two-dimensional $$ \mathcal{N} $$ N = (2, 2) supersymmetric gauge theories. We analyze the solutions of these boundary conditions, and in particular those that allow the bulk fields to have poles at the boundary. We also present the brane configurations for the half- and quarter-BPS boundary conditions of the $$ \mathcal{N} $$ N = (2, 2) supersymmetric gauge theories in terms of branes in Type IIA string theory. We find that both A-type and B-type brane configurations are lifted to M-theory as a system of M2-branes ending on an M5-brane wrapped on a product of a holomorphic curve in ℂ2 with a special Lagrangian 3-cycle in ℂ3.

scholarly journals Infinite-dimensional fermionic symmetry in supersymmetric gauge theories

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Thomas T. Dumitrescu ◽  
Temple He ◽  
Prahar Mitra ◽  
Andrew Strominger
Keyword(s):  
Ward Identity ◽  
Gauge Theories ◽  
Soft Photon ◽  
Supersymmetric Gauge Theories ◽  
Null Infinity ◽  
Infinite Dimensional ◽  
Charged Matter ◽  
Gauge Symmetries ◽  
Supersymmetric Gauge

Abstract We establish the existence of an infinite-dimensional fermionic symmetry in four-dimensional supersymmetric gauge theories by analyzing semiclassical photino dynamics in abelian $$ \mathcal{N} $$ N = 1 theories with charged matter. The symmetry is parametrized by a spinor-valued function on an asymptotic S2 at null infinity. It is not manifest at the level of the Lagrangian, but acts non-trivially on physical states, and its Ward identity is the soft photino theorem. The infinite-dimensional fermionic symmetry resides in the same $$ \mathcal{N} $$ N = 1 supermultiplet as the physically non-trivial large gauge symmetries associated with the soft photon theorem.

scholarly journals Finiteness of the two-loop matter contribution to the triple gauge-ghost vertices in N=1 supersymmetric gauge theories regularized by higher derivatives

2021 ◽  
Vol 104 (2) ◽  
Author(s):  
M. D. Kuzmichev ◽  
N. P. Meshcheriakov ◽  
S. V. Novgorodtsev ◽  
I. E. Shirokov ◽  
K. V. Stepanyantz
Keyword(s):  
Gauge Theories ◽  
Supersymmetric Gauge Theories ◽  
Higher Derivatives ◽  
Supersymmetric Gauge
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