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A brief review of the status of duality symmetries in string theory is presented. The evidence is accumulating rapidly that an enormous group of duality symmetries, including perturbative T dualities and non-perturbative S-dualities,…

High Energy Physics - Theory · Physics 2007-05-23 John H. Schwarz

This article is devoted to an overview of superstring perturbation theory from the point of view of super Riemann surfaces. We aim to elucidate some of the subtleties of superstring perturbation that caused difficulty in the early…

High Energy Physics - Theory · Physics 2016-07-26 Edward Witten

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

This review provides an introduction to non-geometric backgrounds in string theory. Starting from a discussion of T-duality, geometric and non-geometric torus-fibrations are reviewed, generalised geometry and its relation to non-geometric…

High Energy Physics - Theory · Physics 2019-04-17 Erik Plauschinn

The perturbative modes propagating along an infinite string are investigated within the framework of the gauge invariant perturbation formalism on a spacetime containing a self-gravitating straight string with a finite thickness. These…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kouji Nakamura , Hideki Ishihara

We confront the problem of giving a fundamental definition to perturbative string theory in spacetimes with totally compact space (taken to be a torus for simplicity, though the nature of the problem is very general) and non-compact time.…

High Energy Physics - Theory · Physics 2015-06-16 Ben Craps , Oleg Evnin , Anatoly Konechny

After briefly reviewing basic concepts of perturbative string theory, we explain in simple terms some of the new findings that created excitement among the string physicists. These developments include non-perturbative dualities and a…

High Energy Physics - Theory · Physics 2007-05-23 W. Lerche

Recently, a potential for string backgrounds is obtained from string geometry theory, which is a candidate for the non-perturbative formulation of string theory. By substituting a string phenomenological model with free parameters to the…

High Energy Physics - Theory · Physics 2025-11-07 Matsuo Sato , Maki Takeuchi

We consider quantum-mechanical path integrals for non-linear sigma models on a circle defined by the string-inspired method of Strassler, where one considers periodic quantum fluctuations about a center-of-mass coordinate. In this approach…

High Energy Physics - Theory · Physics 2009-10-31 K. Schalm , P. van Nieuwenhuizen

String theory is the most promising candidate for the theory unifying all interactions including gravity. It has an extremely difficult dynamics. Therefore, it is useful to study some its simplifications. One of them is non-critical string…

High Energy Physics - Theory · Physics 2007-05-23 Sergei Alexandrov

String-bit models are both an efficient way of organizing string perturbation theory, and a possible non-perturbative composite description of string theory. This is a summary of ideas and results of string-bit and superstring-bit models,…

High Energy Physics - Theory · Physics 2008-02-03 Oren Bergman

String theory implies a relatively modest growth in computational complexity for perturbative gravity calculations as compared to gauge theory calculations, contrary to field theory expectations. An explicit string-based calculation, which…

High Energy Physics - Theory · Physics 2011-09-29 Z. Bern , D. C. Dunbar , T. Shimada

In these introductory lectures we summarize some basic facts and techniques about perturbative string theory (sections 1 to 6). These are further developed (sections 7 and 8) for describing string propagation in the presence of…

High Energy Physics - Theory · Physics 2008-11-26 Domenico Orlando , P. Marios Petropoulos

This work is devoted to a study of some of the non-perturbative aspects of superstring theory that have come within reach thanks to dualities. The first chapter gives a non-technical zero-equation introduction to these developments intended…

High Energy Physics - Theory · Physics 2007-05-23 B. Pioline

String field theory is supposed to stand to perturbative string theory as quantum field theory stands to single-particle quantum theory; as such, it purports to offer a substantially more general and powerful perspective on string theory…

History and Philosophy of Physics · Physics 2026-04-15 Bhanu Narra , James Read , Matěj Krátký

We examine the question how string theory achieves a sum over bulk geometries with fixed asymptotic boundary conditions. We discuss this problem with the help of the tensionless string on $\mathcal{M}_3 \times \mathrm{S}^3 \times…

High Energy Physics - Theory · Physics 2023-01-11 Lorenz Eberhardt

Perturbative superstring theory is revisited, with the goal of giving a simpler and more direct demonstration that multi-loop amplitudes are gauge-invariant (apart from known anomalies), satisfy space-time supersymmetry when expected, and…

High Energy Physics - Theory · Physics 2023-11-07 Edward Witten

We revisit the non-linear sigma model approach to string theory with the closed superstring field theory. We construct the string field theory around the non-linear sigma model background with the patch-by-patch description. We show that…

High Energy Physics - Theory · Physics 2025-09-26 Alexander Frenkel , Manki Kim

A consistent theory of supersymmetry breaking must have a hidden sector, an observable sector, and must be embedded in a locally supersymmetric theory which arises from string theory. For phenomenological reasons it must also transmit…

High Energy Physics - Theory · Physics 2009-03-27 S. P. de Alwis

This is a pedagogical review article surveying the various approaches towards understanding gauge coupling unification within string theory. As is well known, one of the major problems confronting string phenomenology has been an apparent…

High Energy Physics - Theory · Physics 2016-09-06 Keith R. Dienes