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On D=5 super Yang-Mills theory and (2,0) theory

Michael R. Douglas
- 03 Feb 2011 - 
- Vol. 2011, Iss: 2, pp 1-18
TLDR
In this paper, the authors discuss how D = 5 maximally supersymmetric Yang-Mills theory (MSYM) might be used to study or even to define the (2, 0) theory in six dimensions.
Abstract
We discuss how D = 5 maximally supersymmetric Yang-Mills theory (MSYM) might be used to study or even to define the (2, 0) theory in six dimensions. It is known that the compactification of (2, 0) theory on a circle leads to D = 5 MSYM. A variety of arguments suggest that the relation can be reversed, and that all of the degrees of freedom of (2, 0) theory are already present in D = 5 MSYM. If so, this relation should have consequences for D = 5 SYM perturbation theory. We explore whether it might imply all orders finiteness, or else an unusual relation between the cutoff and the gauge coupling. S-duality of the reduction to D = 4 may provide nonperturbative constraints or tests of these options.

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M5-branes from gauge theories on the 5-sphere

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5-dim superconformal index with enhanced En global symmetry

TL;DR: In this article, the superconformal index on S ≥ 1 × S ≥ 4 for the Sp(1) gauge theory was calculated by the localization method and confirmed such enhancement of the global symmetry at the super-conformality limit for N ≥ 5 to a few leading orders in the chemical potential.
References
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Journal ArticleDOI

Electric-Magnetic Duality And The Geometric Langlands Program

TL;DR: The geometric Langlands program can be described in a natural way by compactifying on a Riemann surface C a twisted version of N=4 super Yang-Mills theory in four dimensions as discussed by the authors.

Some Comments On String Dynamics

Edward Witten
TL;DR: In this paper, a self-dual non-critical string appears in Type IIB superstring theory at points in the moduli space where the Type IIA theory has extended gauge symmetry.
Journal ArticleDOI

Five dimensional SUSY field theories, non-trivial fixed points and string dynamics

TL;DR: In this paper, the authors derived the metric on the Coulomb branch exactly and used stringy considerations to learn about new non-trivial interacting field theories with exceptional global symmetry En (E8, E7, E6, E5 = Spin(10), E4 = SU(5), E3 = SU (3) × SU (2), E2 = SU 2 × U (1) and E(1 = SU 1 ).

Lectures on Electric-Magnetic Duality and the Geometric Langlands Program

TL;DR: In this paper, the authors provide an introduction to the recent work on the Montonen-Olive duality of N = 4 super-Yang-Mills theory and the Geometric Langlands Program.
Journal ArticleDOI

On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences

TL;DR: In this paper, an explicit expression for the Ddimensional two-loop contribution to the four-particle S-matrix for N = 8 supergravity was obtained, which was compared to the corresponding N = 4 Yang-Mills result.
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