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We compute, for cosmological backgrounds, the $O(d,d;\mathbb{R})$ invariant beta functions for the sigma model of the bosonic string at two loops. This yields an independent first-principle derivation of the order $\alpha'$ corrections to…

High Energy Physics - Theory · Physics 2022-03-02 Roberto Bonezzi , Tomas Codina , Olaf Hohm

In this study, we thoroughly investigate the covariant and $B$-field gauge invariant odd-parity NS-NS couplings at order $\alpha'^3$, while considering the removal of field redefinitions, Bianchi identities, and total derivative freedoms.…

High Energy Physics - Theory · Physics 2024-04-09 Mohammad R. Garousi

It has been recently observed that the imposition of the $O(1,1)$ symmetry on the circle reduction of the classical effective action of string theory, can fix the effective action of the bosonic string theory at order $\alpha'^2$, up to an…

High Energy Physics - Theory · Physics 2021-09-01 Mohammad R. Garousi

We describe a method of writing down the exact interacting gauge invariant equations for all the modes of the bosonic open string. It is a generalization of the loop variable approach that was used earlier for the free, and lowest order…

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

We investigate whether the symmetry transformations of a bosonic string are connected by T-duality. We start with a standard closed string theory. We continue with a modified open string theory, modified to preserve the symmetry…

High Energy Physics - Theory · Physics 2018-10-09 Lj. Davidović , B. Sazdović

The Hamiltonian analysis of Polyakov action is reviewed putting emphasis in two topics: Dirac observables and gauge conditions. In the case of the closed string it is computed the change of its action induced by the gauge transformation…

High Energy Physics - Theory · Physics 2007-05-23 Merced Montesinos , Jose David Vergara

We use compatibility of the $D$-dimensional effective actions for diagonal metric and for dilaton with the T-duality when theory is compactified on a circle, to find the the $D$-dimensional couplings of curvatures and dilaton as well as the…

High Energy Physics - Theory · Physics 2018-04-04 Hamid Razaghian , Mohammad R. Garousi

We determine the complete spacetime action to first order in $\alpha'$ for the massless fields of bosonic string theory compactified on a $d$-dimensional torus. A fully systematic procedure is developed that brings the action into a minimal…

High Energy Physics - Theory · Physics 2020-03-11 Camille Eloy , Olaf Hohm , Henning Samtleben

The symmetry properties of the bosonic string effective action under Poisson-Lie duality transformations are investigated. A convenient and simple formulation of these duality transformations is found, that allows the reduction of the…

High Energy Physics - Theory · Physics 2009-11-07 A. Bossard , N. Mohammedi

We give a simplified and more complete description of the loop variable approach for writing down gauge invariant equations of motion for the fields of the open string. A simple proof of gauge invariance to all orders is given. In terms of…

High Energy Physics - Theory · Physics 2009-11-07 B. Sathiapalan

In this work, we present a comprehensive analysis of the structure of six-derivative bosonic couplings in heterotic string theory. First, we determine the maximal covariant and Yang-Mills gauge invariant basis, which consists of 801…

High Energy Physics - Theory · Physics 2024-10-30 Mohammad R. Garousi

In this article we give a calculation of the two-loop $\sigma$-model corrections to the T-duality map in string theory. We use the effective action approach, and analyze two-loop corrections in a specific subtraction scheme. Focusing on…

High Energy Physics - Theory · Physics 2009-10-30 Nemanja Kaloper , Krzysztof Meissner

We dimensionally reduce the spacetime action of bosonic string theory, and that of the bosonic sector of heterotic string theory after truncating the Yang-Mills gauge fields, on a $d$-dimensional torus including all higher-derivative…

High Energy Physics - Theory · Physics 2020-07-08 Camille Eloy , Olaf Hohm , Henning Samtleben

It is known that D$_p$-brane effective action at the leading order of $\alpha'$ in flat space-time which is given by DBI action, transforms to D$_{p-1}$-brane effective action under standard T-duality transformations of the open string…

High Energy Physics - Theory · Physics 2021-04-16 Saman Karimi , Mohammad R. Garousi

While the classification of $\alpha'$ corrections of string inspired effective theories remains an unsolved problem, we show how to classify duality invariant $\alpha'$ corrections for purely time-dependent (cosmological) backgrounds. We…

High Energy Physics - Theory · Physics 2019-12-18 Olaf Hohm , Barton Zwiebach

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

String theory gives S matrix elements om which is not possible to read any gauge information. Using factorization we go off shell in the simplest and most naive way and we read which are the vertices suggested by string. To compare with the…

High Energy Physics - Theory · Physics 2017-04-05 Igor Pesando

We develop doubled-coordinate field theory to determine the \alpha' corrections to the massless sector of oriented bosonic closed string theory. Our key tool is a string current algebra of free left-handed bosons that makes O(D,D) T-duality…

High Energy Physics - Theory · Physics 2015-06-16 Olaf Hohm , Warren Siegel , Barton Zwiebach

In string theory the coupling parameters are functions of moduli fields. The actual values of the coupling constants are then dynamically determined through the vacuum expextation values of these fields. We review the attempts to connect…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hans Peter Nilles

We study the space-time invariances of the bosonic relativistic particle and bosonic relativistic string using general formulations obtained by incorporating the Hamiltonian constraints into the formalism. We point out that massless…

High Energy Physics - Theory · Physics 2007-05-23 W. F. Chagas-Filho