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An infinite number of distinct $d=1$ matrix models reproduce the perturbation theory of $d=2$ string theory. Due to constraints of causality, however, we argue that none of the existing constructions gives a consistent nonperturbative…

High Energy Physics - Theory · Physics 2009-10-09 Joseph Polchinski

String theory and supersymmetry are theoretical ideas that go beyond the standard model of particle physics and show promise for unifying all forces. After a brief introduction to supersymmetry, we discuss the prospects for its experimental…

High Energy Physics - Theory · Physics 2008-11-26 John H. Schwarz , Nathan Seiberg

In some string theories, e.g. SO(32) heterotic string theory on Calabi-Yau manifolds, a massless field with a tree level potential can acquire a tachyonic mass at the one loop level, forcing us to quantize the theory around a new background…

High Energy Physics - Theory · Physics 2015-06-19 Roji Pius , Arnab Rudra , Ashoke Sen

String field theory is a candidate for a full non-perturbative definition of string theory. We aim to define string field theory on a space-time lattice to investigate its behaviour at the quantum level. Specifically, we look at string…

High Energy Physics - Lattice · Physics 2010-12-23 Francis Bursa , Michael Kroyter

These notes are based on lectures given by Michael Green during Part III of the Mathematics Tripos (the Certificate for Advanced Study in Mathematics) in the Spring of 2003. The course provided an introduction to string theory, focussing on…

High Energy Physics - Theory · Physics 2012-06-08 James Bedford

The dynamics of superstring, supergravity and M theories and their compactifications are probed by studying the various perturbation theories that emerge in the strong and weak coupling limits for various directions in coupling constant…

High Energy Physics - Theory · Physics 2011-05-05 C. M. Hull

String geometry theory is one of the candidates of the non-perturbative formulation of string theory. In this paper, from the string geometry theory, we derive path-integrals of perturbative superstrings on all the string backgrounds,…

High Energy Physics - Theory · Physics 2023-04-05 Matsuo Sato , Kunihito Uzawa

New non-perturbative interactions in the effective action of two dimensional string theory are described. These interactions are due to ``stringy" instantons

High Energy Physics - Theory · Physics 2009-10-22 R. Brustein , B. Ovrut

We show a possibility that the matrix models recently proposed to explain (almost) all the physics of M-theory may include the superstring theories that we know perturbatively. The ``1st quantized'' physical system of one IIA string seems…

High Energy Physics - Theory · Physics 2008-02-03 Lubos Motl

Over the last few years, string theory has changed profoundly. Most importantly, novel duality relations have emerged which involve gauge theories of brane excitations on one side and various closed string backgrounds on the other. In this…

High Energy Physics - Theory · Physics 2007-05-23 Volker Schomerus

Recently, Witten proposed a topological string theory in twistor space that is dual to a weakly coupled gauge theory. In this lectures we will discuss aspects of the twistor string theory. Along the way we will learn new things about…

High Energy Physics - Theory · Physics 2007-05-23 Freddy Cachazo , Peter Svrcek

We consider two questions in string ``phenomenology.'' First, are there any generic string predictions? Second, are there any general lessons which string theory suggests for thinking about low energy models, particularly in the framework…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael Dine

There are at present two known string theories in $(2,2)$ dimensions. One of them is the well known $N=2$ string, and the other one is a more recently constructed $N=1$ spacetime supersymmetric string. They are both based on certain…

High Energy Physics - Theory · Physics 2010-04-06 H. Lu , C. N. Pope , E. Sezgin

String Field Theory is a formulation of String Theory as a Quantum Field Theory in target space. It allows to tame the infrared divergences of String Theory and to approach its non-perturbative structure and background independence. This…

High Energy Physics - Theory · Physics 2024-05-14 Carlo Maccaferri

One of the perspectives in modern quantum field and string theory is related with the attempts to go beyond the perturbation theory. It turns out that a key principle in the formulation of all known non-perturbative results is {\it…

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

We use a combination of a 't Hooft limit and numerical methods to find non-perturbative solutions of exactly solvable string theories, showing that perturbative solutions in different asymptotic regimes are connected by smooth interpolating…

High Energy Physics - Theory · Physics 2011-08-31 Ramakrishnan Iyer , Clifford V. Johnson , Jeffrey S. Pennington

We consider string theory in a time dependent orbifold with a null singularity. The singularity separates a contracting universe from an expanding universe, thus constituting a big crunch followed by a big bang. We quantize the theory both…

High Energy Physics - Theory · Physics 2009-11-07 Hong Liu , Gregory Moore , Nathan Seiberg

We examine how to construct explicit heterotic string models dual to F-theory in eight dimensions. In doing so we learn about where the moduli spaces of the two theories overlap, and how non-perturbative features leave traces on a purely…

High Energy Physics - Theory · Physics 2016-09-06 Donal O'Driscoll

The perturbative dynamics of noncommutative field theory (NCFT) is discussed from a point view of string field theory. As in the commutative case it is inevitable to introduce a closed string, which may be described as a bound state of two…

High Energy Physics - Theory · Physics 2009-10-31 Taejin Lee

This article aims to explain essential elements of perturbation theory and their conceptual underpinnings. It is not meant as a summary of popular perturbation methods, though some illustrative examples are given to underline the main…

History and Overview · Mathematics 2022-12-15 Nicolas Fillion , Robert M. Corless