Exact results for non-holomorphic masses in softly broken supersymmetric gauge theories

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.

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Infinite-dimensional fermionic symmetry in supersymmetric gauge theories

Journal of High Energy Physics ◽

10.1007/jhep08(2021)051 ◽

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.

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

Physical Review D ◽

10.1103/physrevd.104.025008 ◽

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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Three-dimensional 𝒩 = 2 supersymmetric gauge theories and partition functions on Seifert manifolds: A review

International Journal of Modern Physics A ◽

10.1142/s0217751x19300114 ◽

2019 ◽

Vol 34 (23) ◽

pp. 1930011 ◽

Cited By ~ 4

Author(s):

Cyril Closset ◽

Heeyeon Kim

Keyword(s):

Correlation Functions ◽

Gauge Theories ◽

Three Dimensional ◽

Partition Functions ◽

Exact Results ◽

Strongly Coupled ◽

Seifert Manifolds ◽

Recent Developments ◽

Supersymmetric Gauge ◽

Chern Simons

We give a pedagogical introduction to the study of supersymmetric partition functions of 3D [Formula: see text] supersymmetric Chern–Simons-matter theories (with an [Formula: see text]-symmetry) on half-BPS closed three-manifolds — including [Formula: see text], [Formula: see text], and any Seifert three-manifold. Three-dimensional gauge theories can flow to nontrivial fixed points in the infrared. In the presence of 3D [Formula: see text] supersymmetry, many exact results are known about the strongly-coupled infrared, due in good part to powerful localization techniques. We review some of these techniques and emphasize some more recent developments, which provide a simple and comprehensive formalism for the exact computation of half-BPS observables on closed three-manifolds (partition functions and correlation functions of line operators). Along the way, we also review simple examples of 3D infrared dualities. The computation of supersymmetric partition functions provides exceedingly precise tests of these dualities.

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