scholarly journals Local G2-manifolds, Higgs bundles and a colored quantum mechanics

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Max Hübner
Keyword(s):  
Quantum Mechanics ◽  
Gauge Theories ◽  
Supersymmetric Quantum Mechanics ◽  
Higgs Bundle ◽  
Higgs Bundles ◽  
View Point ◽  
Yang Mills ◽  
G2 Manifolds ◽  
Supersymmetric Gauge ◽  
M Theory

Abstract M-theory on local G2-manifolds engineers 4d minimally supersymmetric gauge theories. We consider ALE-fibered G2-manifolds and study the 4d physics from the view point of a partially twisted 7d supersymmetric Yang-Mills theory and its Higgs bundle. Euclidean M2-brane instantons descend to non-perturbative effects of the 7d supersymmetric Yang-Mills theory, which are found to be in one to one correspondence with the instantons of a colored supersymmetric quantum mechanics. We compute the contributions of M2-brane instantons to the 4d superpotential in the effective 7d description via localization in the colored quantum mechanics. Further we consider non-split Higgs bundles and analyze their 4d spectrum.

scholarly journals DEFORMED SUPERSYMMETRIC GAUGE THEORIES FROM THE FLUXTRAP BACKGROUND

2013 ◽  
Vol 28 (28) ◽  
pp. 1330044 ◽  
Author(s):  
DOMENICO ORLANDO ◽  
SUSANNE REFFERT
Keyword(s):  
String Theory ◽  
Gauge Theories ◽  
Recent Literature ◽  
Supersymmetric Gauge Theories ◽  
Four Dimensions ◽  
Yang Mills ◽  
Supersymmetric Gauge ◽  
M Theory ◽  
Super Yang Mills Theory ◽  
Gravity Duals

The fluxtrap background of string theory provides a transparent and algorithmic way of constructing supersymmetric gauge theories with both mass and Ω-type deformations in various dimensions. In this paper, we review a number of deformed supersymmetric gauge theories in two and four dimensions which can be obtained via the fluxtrap background from string or M-theory. Such theories, the most well-known being Ω-deformed super-Yang–Mills theory in four dimensions, have met with a lot of interest in the recent literature. The string theory treatment offers many new avenues of analysis and applications, such as for example the study of the gravity duals for deformed [Formula: see text] gauge theories.

scholarly journals Phases of supersymmetric gauge theories from M-theory on G2 manifolds

2001 ◽  
Vol 2001 (05) ◽  
pp. 058-058 ◽  
Author(s):  
Peter Kaste ◽  
Hervé Partouche ◽  
Alexandros Kehagias
Keyword(s):  
Gauge Theories ◽  
Supersymmetric Gauge Theories ◽  
G2 Manifolds ◽  
Supersymmetric Gauge ◽  
M Theory

scholarly journals WHAT DOES E8 KNOW ABOUT 11 DIMENSIONS?

2000 ◽  
Vol 15 (13) ◽  
pp. 851-856
Author(s):  
IAN I. KOGAN ◽  
JOHN F. WHEATER
Keyword(s):  
Quantum Mechanics ◽  
String Theory ◽  
Gauge Group ◽  
Gauge Theories ◽  
Dimensional Space ◽  
Supersymmetric Quantum Mechanics ◽  
Gauge Invariant ◽  
M Theory

We discuss some possible relationships in gauge theories, string theory and M-theory in the light of some recent results obtained in gauge-invariant supersymmetric quantum mechanics. In particular, this reveals a new relationship between the gauge group E8 and 11-dimensional space.

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 ABCD of ’t Hooft operators

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Hirotaka Hayashi ◽  
Takuya Okuda ◽  
Yutaka Yoshida
Keyword(s):  
Quantum Mechanics ◽  
Gauge Theories ◽  
Supersymmetric Quantum Mechanics ◽  
Type Ii ◽  
Expectation Values ◽  
String Theories

Abstract We compute by supersymmetric localization the expectation values of half-BPS ’t Hooft line operators in $$ \mathcal{N} $$ N = 2 U(N ), SO(N ) and USp(N ) gauge theories on S1 × ℝ3 with an Ω-deformation. We evaluate the non-perturbative contributions due to monopole screening by calculating the supersymmetric indices of the corresponding supersymmetric quantum mechanics, which we obtain by realizing the gauge theories and the ’t Hooft operators using branes and orientifolds in type II string theories.

scholarly journals Higgs bundles for M-theory on G2-manifolds

2019 ◽  
Vol 2019 (3) ◽  
Author(s):  
Andreas P. Braun ◽  
Sebastjan Cizel ◽  
Max Hübner ◽  
Sakura Schäfer-Nameki
Keyword(s):  
Higgs Bundles ◽  
G2 Manifolds ◽  
M Theory

Supersymmetric gauge theories in quantum mechanics

1985 ◽  
Vol 162 (2) ◽  
pp. 273-302 ◽  
Author(s):  
V Rittenberg ◽  
S Yankielowicz
Keyword(s):  
Quantum Mechanics ◽  
Gauge Theories ◽  
Supersymmetric Gauge Theories ◽  
Supersymmetric Gauge

scholarly journals NONPERTURBATIVE EFFECTIVE ACTIONS OF (N=2)-SUPERSYMMETRIC GAUGE THEORIES

1996 ◽  
Vol 11 (11) ◽  
pp. 1929-1973 ◽  
Author(s):  
A. KLEMM ◽  
W. LERCHE ◽  
S. THEISEN
Keyword(s):  
Riemann Surface ◽  
Effective Action ◽  
Gauge Theories ◽  
Gauge Coupling ◽  
Low Energy ◽  
Yang Mills ◽  
Hyperelliptic Riemann Surface ◽  
Supersymmetric Gauge ◽  
Energy Quantum ◽  
Appell Functions

We elaborate on our previous work on (N=2)-supersymmetric Yang-Mills theory. In particular, we show how to explicitly determine the low energy quantum effective action for G=SU(3) from the underlying hyperelliptic Riemann surface, and calculate the leading instanton corrections. This is done by solving Picard-Fuchs equations and asymptotically evaluating period integrals. We find that the dynamics of the SU(3) theory is governed by an Appell system of type F4, and compute the exact quantum gauge coupling explicitly in terms of Appell functions.

Sp(2) INVARIANT BRST FORMALISM, SUPERSYMMETRY AND WESS-ZUMINO GAUGES

1986 ◽  
Vol 01 (02) ◽  
pp. 95-101
Author(s):  
R. DELBOURGO ◽  
P.D. JARVIS ◽  
G. THOMPSON
Keyword(s):  
Gauge Theories ◽  
Field Structure ◽  
Auxiliary Field ◽  
Covariant Quantization ◽  
Supersymmetric Gauge Theories ◽  
Yang Mills ◽  
Gauge Fixing ◽  
Supersymmetric Gauge

Covariant quantization of Fermi-Bose supersymmetric gauge theories is formulated within an enlarged superspace (xµ, θα, ξm) with manifest ξ-supertranslation (=extended BRST) and Sp(2) invariance. In Wess-Zumino gauges, the correct ghost and auxiliary field structure emerges by counting arguments for the (N=1) super-Yang-Mills, conformal and Einstein supergravity cases. The super-Yang-Mills case is analyzed in detail for both supercovariant and Wess-Zumino gauge-fixing, with particular emphasis on the Sp(2) assignments of the ghost superfields.

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