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An approach to systematically implement open-closed string duality for free large $N$ gauge theories is summarised. We show how the relevant closed string moduli space emerges from a reorganisation of the Feynman diagrams contributing to…

High Energy Physics - Theory · Physics 2009-11-10 Rajesh Gopakumar

String diagrams are a powerful and intuitive graphical syntax, originated in the study of symmetric monoidal categories. In the last few years, they have found application in the modelling of various computational structures, in fields as…

Logic in Computer Science · Computer Science 2022-02-04 Filippo Bonchi , Fabio Gadducci , Aleks Kissinger , Pawel Sobocinski , Fabio Zanasi

The stringy picture behind the integrable spin chains governing the evolution equations in Yang-Mills theory is discussed. It is shown that one-loop dilatation operator in N=4 theory can be expressed in terms of two-point functions on 2d…

High Energy Physics - Theory · Physics 2007-05-23 A. Gorsky

We construct the lattice gauge theory of the group G_N, the semidirect product of the permutation group S_N with U(1)^N, on an arbitrary Riemann surface. This theory describes the branched coverings of a two-dimensional target surface by…

High Energy Physics - Theory · Physics 2009-11-07 M. Billo' , A. D'Adda , P. Provero

We propose a worldsheet description for the ${\rm AdS}_5\times {\rm S}^5$ string theory dual to large $N$, free ${\cal N}=4$ super Yang-Mills in four dimensions. The worldsheet theory is a natural generalisation of the recently investigated…

High Energy Physics - Theory · Physics 2021-09-29 Matthias R. Gaberdiel , Rajesh Gopakumar

The Gaussian Hermitian matrix model was recently proposed to have a dual string description with worldsheets mapping to a sphere target space. The correlators were written as sums over holomorphic (Belyi) maps from worldsheets to the…

High Energy Physics - Theory · Physics 2014-12-05 David Garner , Sanjaye Ramgoolam

We formulate and solve a class of two-dimensional matrix gauge models describing ensembles of non-folding surfaces covering an oriented, discretized, two-dimensional manifold. We interpret the models as string theories characterized by a…

High Energy Physics - Theory · Physics 2014-11-18 Ivan K. Kostov , Matthias Staudacher

We quantize pure 2d Yang-Mills theory on an arbitrary Riemann surface in the gauge where the field strength is diagonal. Twisted sectors originate, as in Matrix string theory, from permutations of the eigenvalues around homotopically…

High Energy Physics - Theory · Physics 2009-10-31 M. Billo' , A D'Adda , P. Provero

Two-dimensional Yang-Mills theory (2d YM) is arguably the simplest confining gauge theory and its large $N_c$ expansion has a structure of the genus expansion in string theory. Nevertheless various aspects of its worldsheet description have…

High Energy Physics - Theory · Physics 2025-12-02 Shota Komatsu , Pronobesh Maity

We consider two dimensional string backgrounds. We discuss the physics of long strings that come from infinity. These are related to non-singlets in the dual matrix model description.

High Energy Physics - Theory · Physics 2010-11-05 Juan Maldacena

Motivated by the recent interest in the different aspects of the string/field theory duality, we describe an approach for obtaining exact string solutions in general backgrounds, based on two types of string embedding, allowing for…

High Energy Physics - Theory · Physics 2007-05-23 P. Bozhilov

The Schwinger representation gives a systematic procedure for recasting large N field theory amplitudes as integrals over closed string moduli space. This procedure has recently been applied to a class of free field four point functions by…

High Energy Physics - Theory · Physics 2010-02-03 Justin R. David , Rajesh Gopakumar

Nonrelativistic string theory is described by a sigma model with a relativistic worldsheet and a nonrelativistic target spacetime geometry, that is called string Newton-Cartan geometry. In this paper we obtain string Newton-Cartan geometry…

High Energy Physics - Theory · Physics 2019-12-09 Eric Bergshoeff , Jaume Gomis , Jan Rosseel , Ceyda Simsek , Ziqi Yan

The structure of spacetime duality and discrete worldsheet symmetries of compactified string theory is examined within the framework of noncommutative geometry. The full noncommutative string spacetime is constructed using the…

High Energy Physics - Theory · Physics 2009-10-30 Fedele Lizzi , Richard J. Szabo

We consider the (2, 0) supersymmetric theory of tensor multiplets and self-dual strings in six space-time dimensions. Space-time diffeomorphisms that leave the string world-sheet invariant appear as gauge transformations on the normal…

High Energy Physics - Theory · Physics 2009-11-10 Mans Henningson

We investigate classical solutions of string field theory proposed by Takahashi and Tanimoto in the case of even order polynomial functions. The BRS charge and the Feynman propagator of open string field theory expanded around the solution…

High Energy Physics - Theory · Physics 2009-11-10 Syoji Zeze

Beginning with a review of the arguments leading to the so-called c=1 barrier in the continuum formulation of noncritical string theory, the pathology is then exhibited in a discretized version of the theory, formulated through dynamical…

High Energy Physics - Theory · Physics 2007-05-23 Parthasarathi Majumdar

An explanation of the origin of the hidden eleventh dimension in string theory is given. It is shown that any two sigma models describing the propagation of string backgrounds are related to each other by a Weyl transformation of the…

High Energy Physics - Theory · Physics 2007-05-23 Noureddine Mohammedi

We construct a (locally) supersymmetric worldsheet action for a string in a non-relativistic Newton-Cartan background. We do this using a doubled string action, which describes the target space geometry in an $O(D,D)$ covariant manner using…

High Energy Physics - Theory · Physics 2019-11-14 Chris D. A. Blair

Duality symmetries for strings moving in non-trivial spacetime backgrounds are analysed. It is shown that, for backgrounds generated from compact WZW and coset models, such duality symmetries are exact to all orders in string perturbation…

High Energy Physics - Theory · Physics 2007-05-23 E. Kiritsis