scholarly journals BPS solutions in ABJM theory and maximal super Yang-Mills on R × S 2

2011 ◽  
Vol 2011 (12) ◽  
Author(s):  
Bobby Ezhuthachan ◽  
Shinji Shimasaki ◽  
Shuichi Yokoyama
Keyword(s):  
Abjm Theory ◽  
Yang Mills

scholarly journals On a gravity dual to flavored topological quantum mechanics

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Andrey Feldman
Keyword(s):  
Quantum Mechanics ◽  
Effective Field ◽  
Abjm Theory ◽  
Yang Mills ◽  
Topological Quantum ◽  
Higher Derivatives ◽  
Structure Constants ◽  
Holographic Description ◽  
M Theory ◽  
Chern Simons

Abstract In this paper, we propose a generalization of the AdS2/CFT1 correspondence constructed by Mezei, Pufu and Wang in [1], which is the duality between 2d Yang-Mills theory with higher derivatives in the AdS2 background, and 1d topological quantum mechanics of two adjoint and two fundamental U(N ) fields, governing certain protected sector of operators in 3d ABJM theory at the Chern-Simons level k = 1. We construct a holographic dual to a flavored generalization of the 1d quantum mechanics considered in [1], which arises as the effective field theory living on the intersection of stacks of N D2-branes and k D6-branes in the Ω-background in Type IIA string theory, and describes the dynamics of the protected sector of operators in $$ \mathcal{N} $$ N = 4 theory with k fundamental hypermultiplets, having a holographic description as M-theory in the AdS4× S7/ℤk background. We compute the structure constants of the bulk theory gauge group, and construct a map between the observables of the boundary theory and the fields of the bulk theory.

scholarly journals FERMIONIC T-DUALITY: A SNAPSHOT REVIEW

2012 ◽  
Vol 27 (29) ◽  
pp. 1230032 ◽  
Author(s):  
EOIN Ó COLGÁIN
Keyword(s):  
Scattering Amplitudes ◽  
Geometric Interpretation ◽  
Pure Spinor ◽  
Hidden Symmetries ◽  
Abjm Theory ◽  
Yang Mills ◽  
Dual Geometries ◽  
Spinor Formalism ◽  
Dual Mapping ◽  
Pure Spinor Formalism

Through a self-dual mapping of the geometry AdS5 ×S5, fermionic T-duality provides a beautiful geometric interpretation of hidden symmetries for scattering amplitudes in [Formula: see text] super-Yang–Mills. Starting with Green–Schwarz sigma-models, we consolidate developments in this area into this small review. In particular, we discuss the translation of fermionic T-duality into the supergravity fields via pure spinor formalism and show that a general class of fermionic transformations can be identified directly in the supergravity. In addition to discussing fermionic T-duality for the geometry AdS4 × ℂ P 3, dual to [Formula: see text] ABJM theory, we review work on other self-dual geometries. Finally, we present a short round-up of studies with a formal interest in fermionic T-duality.

scholarly journals Integrable amplitude deformations forN=4super Yang-Mills and ABJM theory

2015 ◽  
Vol 91 (2) ◽  
Author(s):  
Till Bargheer ◽  
Yu-Tin Huang ◽  
Florian Loebbert ◽  
Masahito Yamazaki
Keyword(s):  
Abjm Theory ◽  
Yang Mills

Geometry and Quantum Dynamics

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
General Relativity ◽  
Quantum Dynamics ◽  
Gauge Theories ◽  
Brst Symmetry ◽  
Abelian Gauge ◽  
Yang Mills ◽  
History Of ◽  
Brst Invariance

A geometrical derivation of Abelian and non- Abelian gauge theories. The Faddeev–Popov quantisation. BRST invariance and ghost fields. General discussion of BRST symmetry. Application to Yang–Mills theories and general relativity. A brief history of gauge theories.

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