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String geometry theory is one of the candidates of the non-perturbative formulation of string theory. In this paper, from the closed bosonic sector of string geometry theory, we derive path integrals of all order perturbative strings on all…

High Energy Physics - Theory · Physics 2022-12-02 Matsuo Sato , Yuji Sugimoto , Kunihito Uzawa

In one variable, there exists a satisfactory classification of commutative rings of differential operators. In several variables, even the simplest generalizations seem to be unknown and in this report we give examples and pose questions…

Rings and Algebras · Mathematics 2007-05-23 Alex Kasman , Emma Previato

We derive a compact and explicit expression for the generating functional of all correlation functions of tachyon operators in 2D string theory. This expression makes manifest relations of the $c=1$ system to KP flow and $W_{1+\infty}$…

High Energy Physics - Theory · Physics 2011-10-11 R. Dijkgraaf , G. Moore , R. Plesser

We define string geometry: spaces of superstrings including the interactions, their topologies, charts, and metrics. Trajectories in asymptotic processes on a space of strings reproduce the right moduli space of the super Riemann surfaces…

High Energy Physics - Theory · Physics 2021-02-03 Matsuo Sato

A universal symmetric truncation of the bosonic string Hilbert space yields all known closed fermionic string theories in ten dimensions, their D-branes and their open descendants. We highlight the crucial role played by group theory and…

High Energy Physics - Theory · Physics 2010-04-28 Auttakit Chattaraputi , Francois Englert , Laurent Houart , Anne Taormina

We show that a spectrum of frequencies obtained by a random perturbation of the integers allows one to represent any measurable function on R by an almost everywhere converging sum of harmonics almost surely.

Classical Analysis and ODEs · Mathematics 2007-05-23 Gady Kozma , Alexander Olevskii

We present a generalization of the string's Polyakov action that describes a conformally invariant four dimensional brane. The new extended object is very different from the traditional D-branes of string theory, but, nevertheless, shares…

High Energy Physics - Theory · Physics 2022-06-15 Matteo Romoli , Omar Zanusso

We construct L-theory with complex coefficients from the geometry of 1|2-dimensional perturbative mechanics. Methods of perturbative quantization lead to wrong-way maps that we identify with those coming from the MSO-orientation of L-theory…

Algebraic Topology · Mathematics 2016-01-27 Daniel Berwick-Evans

A new formalism for generation of solutions in the consistently truncated low-energy bosonic string theory is developed. This formalism gives a correspondence of the projection type between the theories toroidally compactified from the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Oleg V. Kechkin

Integrable structure of the symmetry reduced dynamics of massless bosonic sector of the heterotic string effective action is presented. For string background equations that govern in the space-time of $D$ dimensions ($D\ge 4$) the dynamics…

High Energy Physics - Theory · Physics 2009-09-02 G. A. Alekseev

Several arguments are given for the summability of the superstring perturbation series. Whereas the Schottky group coordinatization of moduli space may be used to provide refined estimates of large-order bosonic string amplitudes, the…

High Energy Physics - Theory · Physics 2009-10-31 Simon Davis

We construct a gauge-invariant action for covariant type II string field theory in the NS-NS sector. Our construction is based on the large Hilbert space description and Zwiebach's string products are used. First, we rewrite the action for…

High Energy Physics - Theory · Physics 2019-05-02 Hiroaki Matsunaga

This review is devoted to strings and branes. Firstly, perturbative string theory is introduced. The appearance of various types of branes is discussed. These include orbifold fixed planes, D-branes and orientifold planes. The connection to…

High Energy Physics - Theory · Physics 2015-06-26 Stefan Forste

We investigate the generation of curvature and isocurvature (dilaton, moduli and axion) perturbations in a general class of axion-dilaton-moduli models,including the pre-big bang scenario. Allowing for an arbitrary coupling constant between…

High Energy Physics - Theory · Physics 2009-10-30 E. J. Copeland , James E. Lidsey , David Wands

In this paper, focusing on the case of single scalar field, we discuss various expanding and contracting phases generating primordial perturbations, and study the relation between the primordial perturbation spectrum from these phases and…

Astrophysics · Physics 2009-11-10 Yun-Song Piao , Yuan-Zhong Zhang

Using light cone string field theory we derive recursion relations for closed string correlation functions and scattering amplitudes which hold to all orders in perturbation theory. These results extend to strings in a plane wave…

High Energy Physics - Theory · Physics 2008-11-26 Anton Ilderton

We derive a perturbative expansion for space time entanglement entropy in string theory by comparing replica trick constructions on the target space and on the worldsheet. Requiring the two approaches to match implies a set of constrains on…

High Energy Physics - Theory · Physics 2019-06-26 Andrea Prudenziati

In earlier papers on the loop variable approach to gauge invariant interactions in string theory, a ``wave functional'' with some specific properties was invoked. It had the purpose of converting the generalized momenta to space time…

High Energy Physics - Theory · Physics 2016-09-06 B. Sathiapalan

We extend the systematic construction of bosonic DDF operators to the light-like linear dilaton background to investigate how higher-spin string states behave beyond flat spacetime. Using previous results, we show that the…

High Energy Physics - Theory · Physics 2025-11-25 Dripto Biswas

It has been conjectured that Little String Theories in six dimensions are holographic to critical string theory in a linear dilaton background. We test this conjecture for theories arising on the worldvolume of heterotic fivebranes. We…

High Energy Physics - Theory · Physics 2009-10-31 Martin Gremm , Anton Kapustin
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