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We explore gauge fields - strings duality by means of the loop equations and the zigzag symmetry. The results are striking and incomplete. Striking - because we find that the string ansatz proposed in [A.M. Polyakov, hep-th/9711002]…

High Energy Physics - Theory · Physics 2009-10-31 A. Polyakov , V. Rychkov

Nonperturbative corrections in type II string theory corresponding to Riemann surfaces with one boundary are calculated in several noncompact geometries of desingularized orbifolds. One of these models has a complicated phase structure…

High Energy Physics - Theory · Physics 2009-08-18 Julie D. Blum

In gauge systems coupled to matter, the static potential flattens out at a scale where the confining string breaks by formation of a dynamical pair of particles. Surprisingly, such a breaking is invisible in Wilson loops even when the…

High Energy Physics - Lattice · Physics 2009-10-31 Ferdinando Gliozzi

We revisit the evaluation of one-loop modular integrals in string theory, employing new methods that, unlike the traditional 'orbit method', keep T-duality manifest throughout. In particular, we apply the Rankin-Selberg-Zagier approach to…

High Energy Physics - Theory · Physics 2011-11-10 Carlo Angelantonj , Ioannis Florakis , Boris Pioline

We examine the algebraic structure of the matrix regularization for the wrapped membrane on $R^{10}\times S^1$ in the light-cone gauge. We give a concrete representation for the algebra and obtain the matrix string theory having the…

High Energy Physics - Theory · Physics 2009-11-10 Shozo Uehara , Satoshi Yamada

Our goal is to describe superconformal structures on super Riemann surfaces (SRS), based on data assigned to a fatgraph. We start from the complex structures on punctured $(1|1)$-supermanifolds, characterizing the corresponding moduli and…

Differential Geometry · Mathematics 2023-09-26 Albert S. Schwarz , Anton M. Zeitlin

We continue the development of the topological membrane approach to open and unoriented string theories. We study orbifolds of topologically massive gauge theory defined on the geometry $[0,1]\times\Sigma$, where $\Sigma$ is a generic…

High Energy Physics - Theory · Physics 2009-09-11 P. Castelo Ferreira , I. I. Kogan , R. J. Szabo

We complete the holomorphic anomaly equations for topological strings with their dependence on open moduli. We obtain the complete system by standard path integral arguments generalizing the analysis of BCOV (Commun. Math. Phys. 165 (1994)…

High Energy Physics - Theory · Physics 2009-06-11 Giulio Bonelli , Alessandro Tanzini

We discuss an explicit construction of a string dual for the Gaussian matrix model. Starting from the matrix model and employing Strebel differential techniques we deduce hints about the structure of the dual string. Next, following these…

High Energy Physics - Theory · Physics 2010-03-19 Shlomo S. Razamat

It has been known since the beginning of this century that isomonodromic problems --- typically the Painlev\'e transcendents --- in a suitable asymptotic region look like a kind of ``modulation'' of isospectral problem. This connection…

solv-int · Physics 2008-02-03 Kanehisa Takasaki

We continue with the program of hep-th/0308184 to implement open-closed string duality on free gauge field theory (in the large $N$ limit). In this paper we consider correlators such as $\la \prod_{i=1}^n \Tr\Phi^{J_i}(x_i)\ra$. The…

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

A general algorithm is presented which gives a closed-form expression for an arbitrary perturbative diagram of cubic string field theory at any loop order. For any diagram, the resulting expression is given by an integral of a function of…

High Energy Physics - Theory · Physics 2007-05-23 Washington Taylor

We derive a minimal set of Feynman rules for the loop amplitudes in unitary models of closed strings, whose target space is a simply laced (extended) Dynkin diagram. The string field Feynman graphs are composed of propagators, vertices…

High Energy Physics - Theory · Physics 2009-10-28 Saburo Higuchi , Ivan K. Kostov

Misner space, also known as the Lorentzian orbifold $R^{1,1}/boost$, is one of the simplest examples of a cosmological singularity in string theory. In this work, the study of weakly coupled closed strings on this space is pursued in…

High Energy Physics - Theory · Physics 2009-11-10 M. Berkooz , B. Pioline , M. Rozali

We construct smooth Riemannian metrics with constant scalar curvature on each Hirzebruch surface. These metrics respect the complex structures, fiber bundle structures, and Lie group actions of cohomogeneity one on these manifolds. Our…

Differential Geometry · Mathematics 2014-04-08 Nobuhiko Otoba

We investigate massless n-point one-loop amplitudes of the open RNS superstring with two external fermions and determine their worldsheet integrands. The contributing correlation functions involving spin-1/2 and spin-3/2 operators from the…

High Energy Physics - Theory · Physics 2018-06-21 Seungjin Lee , Oliver Schlotterer

We consider the 1-loop effective potential in type I string theory compactified on a torus, with supersymmetry broken by the Scherk-Schwarz mechanism. At fixed supersymmetry breaking scale M, and up to exponentially suppressed terms, we…

High Energy Physics - Theory · Physics 2020-12-30 Herve Partouche

Loop amplitudes in string theories reduce to those of gauge theories and (super)gravity in their worldline description as the inverse string tension $\alpha'$ tends to zero. The appearance of reducible diagrams in these $\alpha' \rightarrow…

High Energy Physics - Theory · Physics 2025-04-17 Filippo Maria Balli , Alex Edison , Oliver Schlotterer

A candidate for the confining string of gauge theories is constructed via a representation of the ultraviolet divergences of quantum field theory by a closed string dilaton insertion, computed through the soft dilaton theorem. The resulting…

High Energy Physics - Theory · Physics 2015-06-26 Enrique Alvarez , Cesar Gomez

An unambiguous and slice-independent formula for the two-loop superstring measure on moduli space for even spin structure is constructed from first principles. The construction uses the super-period matrix as moduli invariant under…

High Energy Physics - Theory · Physics 2008-11-26 Eric D'Hoker , D. H. Phong
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