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We study the two-dimensional Eguchi-Kawai model as a toy model of the IIB matrix model, which has been recently proposed as a nonperturbative definition of the type IIB superstring theory. While the planar limit of the model is known to…

High Energy Physics - Lattice · Physics 2009-10-31 Takayuki Nakajima , Jun Nishimura

We study the two-dimensional Eguchi-Kawai model as a toy model of the IIB matrix model, which has been recently proposed as a nonperturbative definition of the type IIB superstring theory. While the planar limit of the model is known to…

High Energy Physics - Theory · Physics 2009-10-31 Takayuki Nakajima , Jun Nishimura

We examine the dual correspondence between holographic IIB superstring theory and N=4 super Yang-Mills theory at finite values of the coupling constants. In particular we analyze a field theory strong-coupling expansion which is the S-dual…

High Energy Physics - Theory · Physics 2016-09-06 Gordon Chalmers , Johanna Erdmenger

Motivated by the search for a space-time supersymmetric extension of the N=2 string, we construct a particle model which, upon quantization, describes (abelian) self-dual super Yang-Mills in 2+2 dimensions. The local symmetries of the…

High Energy Physics - Theory · Physics 2009-10-31 Anton Galajinsky , Olaf Lechtenfeld

SU(N) Yang-Mills integrals form a new class of matrix models which, in their maximally supersymmetric version, are relevant to recent non-perturbative definitions of 10-dimensional IIB superstring theory and 11-dimensional M-theory. We…

High Energy Physics - Theory · Physics 2011-04-15 Werner Krauth , Jan Plefka , Matthias Staudacher

We derive Schwinger-Dyson equations for the Wilson loops of a type IIB matrix model. Superstring coordinates are introduced through the construction of the loop space. We show that the continuum limit of the loop equation reproduces the…

High Energy Physics - Theory · Physics 2008-11-26 M. Fukuma , H. Kawai , Y. Kitazawa , A. Tsuchiya

A matrix model which has the manifest ten-dimensional N=2 super Poincare invariance is proposed. Interactions between BPS-saturated states are analyzed to show that massless spectrum is the same as that of type IIB string theory. It is…

High Energy Physics - Theory · Physics 2009-10-30 N. Ishibashi , H. Kawai , Y. Kitazawa , A. Tsuchiya

The bosonic IIB matrix model is studied using a numerical method. This model contains the bosonic part of the IIB matrix model conjectured to be a non-perturbative definition of the type IIB superstring theory. The large N scaling behavior…

High Energy Physics - Theory · Physics 2009-10-31 S. Horata , H. S. Egawa

We show how the Riemann surface $\Sigma$ of $N=2$ Yang-Mills field theory arises in type II string compactifications on Calabi-Yau threefolds. The relevant local geometry is given by fibrations of ALE spaces. The $3$-branes that give rise…

High Energy Physics - Theory · Physics 2014-11-18 A. Klemm , W. Lerche , P. Mayr , C. Vafa , N. Warner

The spectrum of IIB supergravity on AdS${}_5 \times S^5$ contains a number of bound states described by long double-trace multiplets in $\mathcal{N}=4$ super Yang-Mills theory at large 't Hooft coupling. At large $N$ these states are…

High Energy Physics - Theory · Physics 2018-12-26 F. Aprile , J. M. Drummond , P. Heslop , H. Paul

This supplementary manuscript is to describe an important nontrivial example, which appears in the matrix model of type IIB in the super string theory in order to apply a new duality for the moduli spaces of Yang-Mills connections on…

Mathematical Physics · Physics 2007-05-23 Hiroshi Takai

The bosonic IIB matrix model, which contains the bosonic part of the IIB matrix model conjectured to be a non-perturbative definition of the type IIB superstring theory, is studied using a numerical method. The large N scaling behavior of…

High Energy Physics - Lattice · Physics 2009-10-31 S. Horata , H. S. Egawa

We propose that chiral two-dimensional Yang-Mills theory on a Riemann surface is dual to a deformed stationary subsector of the Gromov-Witten theory of that Riemann surface. Firstly, we argue that the algebraic structure that underlies the…

High Energy Physics - Theory · Physics 2025-02-06 Lior Benizri , Jan Troost

We give a description of the complete 1/N expansion of SU(N) 2D Yang Mills theory in terms of the moduli space of holomorphic maps from non-singular worldsheets. This is related to the Gross-Taylor coupled 1/N expansion through a map from…

High Energy Physics - Theory · Physics 2009-11-19 Yusuke Kimura , Sanjaye Ramgoolam

In this paper we present a discrete, non-perturbative formulation for type IIB string theory. Being a supersymmetric quiver matrix mechanics model in the framework of M(atrix) theory, it is a generalization of our previous proposal of…

High Energy Physics - Theory · Physics 2010-04-05 Jian Dai , Yong-Shi Wu

We use the flat space limit of the AdS/CFT correspondence to derive a simple relation between the 2 to 2 scattering amplitude of massless string states in type IIB superstring theory on ten-dimensional Minkowski space and a scaling limit of…

High Energy Physics - Theory · Physics 2011-04-22 Takuya Okuda , Joao Penedones

We describe a novel double scaling limit of large N Yang-Mills theory on a two-dimensional torus and its relation to the geometry of the principal moduli spaces of holomorphic differentials.

High Energy Physics - Theory · Physics 2009-11-10 L. Griguolo , D. Seminara , R. J. Szabo

We show that the supersymmetric Wilson loops in IIB matrix model give a transition operator from reduced supersymmetric Yang-Mills theory to supersymmetric space-time theory. In comparison with Green-Schwarz superstring we identify the…

High Energy Physics - Theory · Physics 2009-12-30 Ken-ji Hamada

We consider electric-magnetic duality(S-duality) in IIB matrix model with a D3-brane background. We propose the duality transformation by considering that of noncommutative Yang-Mills theory(NCYM) in four dimension. NCYM derived from the…

High Energy Physics - Theory · Physics 2007-05-23 Hiroyuki Takata

We study a matrix model describing type IIB superstring in orbifold backgrounds. We particularly consider a {\bf C}^3/{\bf Z}_3 orbifold model whose six dimensional transverse space is orbifolded by {\bf Z}_3 discrete symmetry. This model…

High Energy Physics - Theory · Physics 2009-11-07 H. Aoki , S. Iso , T. Suyama
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