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A Double Field Theory (DFT) description of gauge symmetry enhancing-breaking in the heterotic string is presented. The construction, based on previous results for the bosonic string, relies on the extension of the tangent frame of DFT. The…

High Energy Physics - Theory · Physics 2017-10-25 Gerardo Aldazabal , Eduardo Andres , Martin Mayo , Victor Penas

In this paper we discuss two approaches to anomaly-free quantization of a two-dimensional string. The first approach is based on the canonical Dirac prescription of quantization of degenerated systems. At the second approach we "weaken" the…

High Energy Physics - Theory · Physics 2007-05-23 S. N. Vergeles

This is the second paper in a series. In part I we developed deformation theory of objects in homotopy and derived categories of DG categories. Here we extend these (derived) deformation functors to an appropriate bicategory of artinian DG…

Algebraic Geometry · Mathematics 2018-08-13 Alexander I. Efimov , Valery A. Lunts , Dmitri O. Orlov

Motivated by examples that appeared in the context of string theory - gauge theory duality, we consider corrections to supergravity backgrounds induced by higher derivative R^4+... terms in superstring effective action. We argue that…

High Energy Physics - Theory · Physics 2009-09-17 S. Frolov , A. A. Tseytlin

We calculate F^4 and R^4T^(4g-4) couplings in d=8 heterotic and type I string vacua (with gauge and graviphoton field strengths F,T, and Riemann curvature R). The holomorphic piece F_g of the heterotic one-loop coupling R^4T^(4g-4) is given…

High Energy Physics - Theory · Physics 2014-11-18 K. Foerger , S. Stieberger

We consider the equations of motion of the full heterotic string field theory including both the Neveu-Schwarz and the Ramond sectors. It is shown that they can be formulated in the form of an infinite number of first-order equations for an…

High Energy Physics - Theory · Physics 2014-09-24 Hiroshi Kunitomo

This is the first paper in a series. We develop a general deformation theory of objects in homotopy and derived categories of DG categories. Namely, for a DG module $E$ over a DG category we define four deformation functors $\Def ^{\h}(E)$,…

Algebraic Geometry · Mathematics 2018-08-13 Alexander I. Efimov , Valery A. Lunts , Dmitri O. Orlov

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

We derive the universal threshold corrections in heterotic string theory including a continuous Wilson line. Unification of gauge and gravitational couplings is shown to be possible even within perturbative string theory. The relative…

High Energy Physics - Theory · Physics 2009-10-30 H. P. Nilles , S. Stieberger

In this paper we study classical deformations of diagrams of commutative algebras over a field of characteristic 0. In particular we determine several homotopy classes of DG-Lie algebras, each one of them controlling this above deformation…

Algebraic Geometry · Mathematics 2019-02-28 Emma Lepri , Marco Manetti

Gauge symmetry enhancing, at specific points of the compactification space, is a distinguished feature of string theory. In this work we discuss the breaking of such symmetries with tools provided by Double Field Theory (DFT). As a main…

High Energy Physics - Theory · Physics 2017-08-02 G. Aldazabal , E. Andres , Martin Mayo , J. A. Rosabal

We examine the proposal that the dimensional reduction of the effective action of perturbative string theory on a circle, should be invariant under T-duality transformations. The T-duality transformations are the standard Buscher rules plus…

High Energy Physics - Theory · Physics 2019-06-19 Mohammad R. Garousi

Motivated by applications to black hole physics and duality, we study the effect of higher derivative corrections on the dimensional reduction of four-dimensional Einstein, Einstein Liouville and Einstein-Maxwell gravity to one direction,…

High Energy Physics - Theory · Physics 2009-11-18 Yann Michel , Boris Pioline

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

We study the covariant quantization of the Green-Schwarz (GS) superstrings proposed recently by Berkovits. In particular, we reformulate the Berkovits approach in a way that clarifies its relation with the GS approach and allows to derive…

High Energy Physics - Theory · Physics 2009-11-07 Ichiro Oda , Mario Tonin

In this paper, we use reduction by extended actions to give a construction of transitive Courant algebroids from string classes. We prove that T-duality commutes with the reductions and thereby determine global conditions for the existence…

Differential Geometry · Mathematics 2015-10-27 David Baraglia , Pedram Hekmati

A study is made of the implications of heterotic string $T$-duality and extended gauge symmetry for the conjectured equivalence of heterotic and Type I superstrings. While at first sight heterotic string world-sheet dynamics appears to…

High Energy Physics - Theory · Physics 2010-04-07 Joseph Polchinski , Edward Witten

We review a simple but instructive application of the formalism of covariant bitensors, to use a deviation vector field along a fiducial geodesic to describe a neighboring worldline, in an exact and manifestly covariant manner, via the…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Justin Vines

The scalar field-perfect fluid (sf-pf) correspondence shows that the energy-momentum tensor of a scalar field is in correspondence with the dynamics of a perfect fluid. In this work we generalize this concept to study the higher-derivative…

High Energy Physics - Theory · Physics 2023-05-03 Eric Lescano , Nahuel Mirón-Granese

In this note a simple calculation of one loop threshold corrections for the SO(32) heterotic string is performed. In particular the compactification on T^2 with a Wilson line breaking the gauge group to SO(16) x SO(16) is considered. Using…

High Energy Physics - Theory · Physics 2010-11-19 Michael Gutperle