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This is a very brief survey of some results in the geometry of string duality delivered at a lecture given at ICM 1998, Berlin. String Duality is the statement that one kind of string theory compactified on one space is equivalent in some…

Algebraic Geometry · Mathematics 2007-05-23 Paul S. Aspinwall

A geometric interpretation of quantum self-interacting string field theory is given. Relations between various approaches to the second quantization of an interacting string are described in terms of the geometric quantization. An algorithm…

High Energy Physics - Theory · Physics 2008-02-03 D. Juriev

Three subjects are considered here: a self-dual non-critical string that appears in Type IIB superstring theory at points in ${\rm K3}$ moduli space where the Type IIA theory has extended gauge symmetry; a conformal field theory singularity…

High Energy Physics - Theory · Physics 2007-05-23 Edward Witten

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

Mack has conjectured that all conformal field theories are equivalent to string theories. We explore the example of the two-dimensional minimal model CFTs and confirm that the Mellin transformed amplitudes have the desired properties of…

High Energy Physics - Theory · Physics 2016-08-24 David A. Lowe

The gauge symmetries that underlie string theory arise from inner automorphisms of the algebra of observables of the associated conformal field theory. In this way it is possible to study broken and unbroken symmetries on the same footing,…

High Energy Physics - Theory · Physics 2015-06-26 Mark Evans , Ioannis Giannakis

Nonrelativistic string theory is a self-contained corner of string theory, with its string spectrum enjoying a Galilean-invariant dispersion relation. This theory is unitary and ultraviolet complete, and can be studied from first…

High Energy Physics - Theory · Physics 2023-03-01 Ziqi Yan

Time-dependent solutions of supergravity and string theory are studied. The examples are obtained from de Sitter deformation of gauge/gravity dualities, analytical continuation of static solutions, and ``exactly solvable'' worldsheet…

High Energy Physics - Theory · Physics 2009-11-07 Alex Buchel , Peter Langfelder , Johannes Walcher

We discuss semiclassical quantization of circular pulsating strings in AdS3 x S3 background with and without the Neveu-Schwarz- Neveu-Schwarz (NS-NS) flux. We find the equations of motion corresponding to the quadratic action in bosonic…

High Energy Physics - Theory · Physics 2018-10-23 Sorna Prava Barik , Kamal L. Panigrahi , Manoranjan Samal

In this paper, we study the 6d Little String Theory (LST) (the decoupled theory on the worldvolume of $N$ NS5-branes) on curved manifolds, by using its holographic duality to Type II string theory in asymptotically linear dilaton…

High Energy Physics - Theory · Physics 2020-01-08 Ofer Aharony , Mikhail Evtikhiev , Andrey Feldman

In this thesis we study string theory with D-branes and possibly orientifolds in curved or time-dependent spaces. Our study aims at understanding some aspects of curved and time-dependent spaces, notably because of their importance in…

High Energy Physics - Theory · Physics 2007-05-23 Nicolas Couchoud

This is a brief review of the present status, of some recent developments and of the open challenges in string/M theory.

High Energy Physics - Phenomenology · Physics 2007-05-23 C. P. Bachas

These lecture notes present an elementary introduction to light-cone string field theory, with an emphasis on its application to the study of string interactions in the plane wave limit of AdS/CFT. We summarize recent results and conclude…

High Energy Physics - Theory · Physics 2007-05-23 Marcus Spradlin , Anastasia Volovich

It has recently been conjectured that the Anti-de Sitter space is unstable under arbitrarily small perturbations. This article (based on my plenary talk of the same title at the conference GR20 in Warsaw) briefly reviews numerical and…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Piotr Bizoń

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

In this paper we provide the criteria for any generally covariant, parity preserving, and torsion free theory of gravity to possess a stable de Sitter (dS) or anti-de Sitter (AdS) background. By stability we mean the absence of tachyonic or…

General Relativity and Quantum Cosmology · Physics 2017-03-01 Tirthabir Biswas , Alexey S. Koshelev , Anupam Mazumdar

We study finite temperature string scale $AdS_3$ backgrounds. One background is $AdS_3 \times S^1 \times T^2$ in which the anti-de Sitter space-time and the circle are at the radius $\sqrt{\alpha'}$. Using path integral techniques, we show…

High Energy Physics - Theory · Physics 2021-05-19 Sujay K. Ashok , Jan Troost

We suggest a means of obtaining certain Green's functions in 3+1-dimensional ${\cal N} = 4$ supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory. The non-critical string theory is related to critical…

High Energy Physics - Theory · Physics 2008-11-26 S. S. Gubser , I. R. Klebanov , A. M. Polyakov

The problems with background independence are discussed in the example of open string theory. Based on the recent proposal by Witten I calculate the String Field Theory action in conformal perturbation theory to second order and demonstrate…

High Energy Physics - Theory · Physics 2010-11-01 S. Shatashvili

I summarize some of the ideas and motivations behind a recently performed conformal field theory analysis of closed strings in both geometric and nongeometric three-form flux backgrounds. This suggests an underlying nonassociative structure…

High Energy Physics - Theory · Physics 2011-12-21 Ralph Blumenhagen