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We explore and exploit the relation between non-planar correlators in ${\cal N}=4$ super-Yang-Mills, and higher-genus closed string amplitudes in type IIB string theory. By conformal field theory techniques we construct the genus-one,…

High Energy Physics - Theory · Physics 2019-06-26 Luis F. Alday , Agnese Bissi , Eric Perlmutter

We describe various approaches that give matrix descriptions of compactified NS five-branes. As a result, we obtain matrix models for Yang-Mills theories with sixteen supersymmetries in dimensions $2,3,4$ and 5. The equivalence of the…

High Energy Physics - Theory · Physics 2010-02-03 Ori J. Ganor , Savdeep Sethi

We discuss the generalization of recently discovered BPS configurations, corresponding to the planar string networks, to non-planar ones by considering the U-duality symmetry of type II string theory in various dimensions. As an explicit…

High Energy Physics - Theory · Physics 2009-10-31 Sandip Bhattacharyya , Alok Kumar , Subir Mukhopadhyay

In this talk I will survey some of the basic facts about superstring theories in 10 dimensions and the dualities that relate them to M theory in 11 dimensions. Then I will mention some important unresolved issues.

General Relativity and Quantum Cosmology · Physics 2009-10-31 John H. Schwarz

The non-perturbative superpotential can be effectively calculated in $M$-theory compactification to three dimensions on a Calabi-Yau four-fold $X$. For certain $X$, the superpotential is identically zero, while for other $X$, a…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

We construct a locally supersymmetric worldsheet formulation of a non-Abelian Ramond-Neveu-Schwarz (NARNS) string theory where the string coordinates are noncommuting matrices in a group U(N). This is described by the two dimensional…

High Energy Physics - Theory · Physics 2007-05-23 Hyun Seok Yang , Inbo Kim , Bum-Hoon Lee

We analyze the U-duality group for the case of a type II superstring compactified to four dimensions on a K3 surface times a torus. The various limits of this theory are considered which have interpretations as type IIA and IIB…

High Energy Physics - Theory · Physics 2010-11-01 Paul S. Aspinwall , David R. Morrison

On-shell superspace techniques are used to quantify R-symmetry violation in type IIB superstring theory amplitudes in a flat background in ten dimensions. This shows the existence of a particularly simple class of non-vanishing amplitudes…

High Energy Physics - Theory · Physics 2013-05-30 Rutger H. Boels

Whilst standard field theoretic Cosmic Strings cannot end, Cosmic Superstrings can form three string junctions, at which each string ends. This opens up a new class of possible boundary conditions for such strings and we show that, at least…

General Relativity and Quantum Cosmology · Physics 2014-11-20 William Nelson

I explain two applications of the relationship between four dimensional N=1 supersymmetric gauge theories, zero dimensional gauged matrix models, and geometric transitions in string theory. The first is related to the spectrum of BPS domain…

High Energy Physics - Theory · Physics 2009-11-10 Frank Ferrari

Taking the N=2 strings as the starting point, we discuss the equivalent self-dual field theories and analyse their symmetry structure in 2+2 dimensions. Restoring the full `Lorentz' invariance in the target space necessarily leads to an…

High Energy Physics - Theory · Physics 2009-10-30 Sergei V. Ketov

In four-dimensional $\mathcal{N}=4$ super Yang-Mills theory with gauge group $SU(N)$, we present a closed-form solution for a family of integrated four-point functions involving stress tensor multiplet composites of arbitrary R-charge.…

High Energy Physics - Theory · Physics 2023-03-24 Hynek Paul , Eric Perlmutter , Himanshu Raj

The spectrum of $(p,q)$ bound states of F- and D-strings has a distinctive square-root tension formula that is hoped to be a hallmark of fundamental cosmic strings. We point out that the Bogomol'nyi-Prasad-Sommerfield (BPS) bound for…

High Energy Physics - Theory · Physics 2008-11-26 Mark G. Jackson

Recently, the author has constructed a series of four dimensional non-critical string theories with eight supercharges, dual to theories of light electric and magnetic charges, for which exact formulas for the central charge of the…

High Energy Physics - Theory · Physics 2014-11-18 Frank Ferrari

Supersymmetric closed string theories contain an infinite tower of BPS-saturated, oscillating, macroscopic strings in the perturbative spectrum. When these theories have dual formulations, this tower of states must exist nonperturbatively…

High Energy Physics - Theory · Physics 2009-10-28 A. Dabholkar , J. P. Gauntlett , J. A. Harvey , D. Waldram

Type II strings in D=5 contain particle-like 1/8 supersymmetric BPS states. In this note we give a string-network representation of such states by considering (periodic) non-planar $(p,q,r)$-string networks of eight dimensional type II…

High Energy Physics - Theory · Physics 2009-10-31 Alok Kumar

The loop representation of quantum gravity has many formal resemblances to a background-free string theory. In fact, its origins lie in attempts to treat the string theory of hadrons as an approximation to QCD, in which the strings…

High Energy Physics - Theory · Physics 2007-05-23 John C. Baez

General conjectures about the SL(2,Z) modular transformation properties of N=4 super-Yang-Mills correlation functions are presented. It is shown how these modular transformation properties arise from the conjectured duality with IIB string…

High Energy Physics - Theory · Physics 2009-10-31 Kenneth Intriligator

Motivated by the string theory analysis of arXiv:1108.6331, we construct a class of 1/8-BPS solutions of type IIB supergravity compactified on S^1 x T^4. In this duality frame our ansatz allows for a non-trivial NS-NS B-field which has been…

High Energy Physics - Theory · Physics 2015-06-03 Stefano Giusto , Rodolfo Russo

States on the Coulomb branch of N=4 super-Yang-Mills theory are studied from the point of view of gauged supergravity in five dimensions. These supersymmetric solutions provide examples of consistent truncation from type IIB supergravity in…

High Energy Physics - Theory · Physics 2009-10-31 D. Z. Freedman , S. S. Gubser , K. Pilch , N. P. Warner
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