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We suggest a new action for a ``dual'' gravity in a stringy $R$, $Q$ flux background. The construction is based on degree-$2$ graded symplectic geometry with a homological vector field. The structure we consider is non-canonical and…

High Energy Physics - Theory · Physics 2020-04-01 Eugenia Boffo , Peter Schupp

The doubled formulation of string theory, which is T-duality covariant and enlarges spacetime with extra coordinates conjugate to winding number, is reformulated and its geometric and topological features examined. It is used to formulate…

High Energy Physics - Theory · Physics 2008-11-26 C M Hull

We give a systematic derivation of the local expressions of the NS H-flux, geometric F- as well as non-geometric Q- and R-fluxes in terms of bivector beta- and two-form B-potentials including vielbeins. They are obtained using a…

High Energy Physics - Theory · Physics 2017-03-08 Marc Andre Heller , Noriaki Ikeda , Satoshi Watamura

Double field theory describes a massless subsector of closed string theory with both momentum and winding excitations. The gauge algebra is governed by the Courant bracket in certain subsectors of this double field theory. We construct the…

High Energy Physics - Theory · Physics 2014-11-20 Olaf Hohm , Chris Hull , Barton Zwiebach

(Quasi-)Poisson-Lie T-duality of string effective actions is described in the framework of generalized geometry of Courant algebroids. The approach is based on a generalization of Riemannian geometry in the context of Courant algebroids,…

High Energy Physics - Theory · Physics 2021-07-28 Branislav Jurco , Jan Vysoky

We perform a holographic renormalization of gravity duals to little string theories. In particular, we construct counterterms which yield a well-defined type II action for NS-sector linear dilaton backgrounds. Our methods are based on a…

High Energy Physics - Theory · Physics 2010-10-27 Donald Marolf , Amitabh Virmani

We give a geometrical interpretation of the non-geometric Q and R fluxes. To this end we consider double field theory in a formulation that is related to the conventional one by a field redefinition taking the form of a T-duality inversion.…

High Energy Physics - Theory · Physics 2012-07-11 David Andriot , Olaf Hohm , Magdalena Larfors , Dieter Lust , Peter Patalong

In recent years, a close connection between supergravity, string effective actions and generalized geometry has been discovered that typically involves a doubling of geometric structures. We investigate this relation from the point of view…

High Energy Physics - Theory · Physics 2020-01-29 Eugenia Boffo , Peter Schupp

An interesting consequence of string dualities is that they reveal situations where the geometry of a string background appears to be globally ill-defined, a phenomenon usually referred to as non-geometry. On the other hand, string theory…

High Energy Physics - Theory · Physics 2014-08-10 Athanasios Chatzistavrakidis , Fridrik Freyr Gautason , George Moutsopoulos , Marco Zagermann

We reexamine the notions of generalized Ricci tensor and scalar curvature on a general Courant algebroid, reformulate them using objects natural w.r.t. pull-backs and reductions, and obtain them from the variation of a natural action…

Differential Geometry · Mathematics 2018-10-30 Pavol Ševera , Fridrich Valach

Some aspects of string compactifications with non-geometric fluxes are revisited in the light of recent progress in double field theory. After rederiving the general form of these fluxes, we consider the proposed flux induced…

High Energy Physics - Theory · Physics 2014-10-07 Ralph Blumenhagen , Xin Gao , Daniela Herschmann , Pramod Shukla

In the first part of this article, the geometry of Lie algebroids as well as the Moyal-Weyl star product and some of its generalizations in open string theory are reviewed. A brief introduction to T-duality and non-geometric fluxes is…

High Energy Physics - Theory · Physics 2015-06-17 Andreas Deser

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

In this work we present the minimal supersymmetric extension of the five-dimensional dilaton-gravity theory that captures the main properties of the holographic dual of little string theory. It is described by a particular gauging of…

High Energy Physics - Theory · Physics 2018-04-04 Ignatios Antoniadis , Antonio Delgado , Chrysoula Markou , Stefan Pokorski

We describe the global geometry, symmetries and tensors for Double Field Theory over pairs of nilmanifolds with fluxes or gerbes. This is achieved by a rather straightforward application of a formalism we developed previously. This…

High Energy Physics - Theory · Physics 2019-06-19 Andreas Deser , Christian Saemann

We calculate the background field equations for the T-duality symmetric string building on previous work by including the effect of the Dilaton up to two-loops. Inclusion of the Dilaton allows us to obtain the full beta functionals of the…

High Energy Physics - Theory · Physics 2008-11-26 David S. Berman , Daniel C. Thompson

We perform a generalized Scherk-Schwarz dimensional reduction of Double Field Theory on a twisted double torus. The four dimensional effective action is shown to exactly reproduce the bosonic electric sector of gauged N = 4 supergravity. We…

High Energy Physics - Theory · Physics 2015-05-30 Gerardo Aldazabal , Walter Baron , Diego Marques , Carmen Nunez

The four dimensional gauged supergravities descending from non-geometric string compactifications involve a wide class of flux objects which are needed to make the theory invariant under duality transformations at the effective level.…

High Energy Physics - Theory · Physics 2009-02-20 Adolfo Guarino , George James Weatherill

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

It has been speculated in the literature that the effective actions of string theories at any order of $\alpha'$ should be invariant under the Buscher rules plus their higher covariant derivative corrections. This may be used as a…

High Energy Physics - Theory · Physics 2018-05-23 Hamid Razaghian , Mohammad R. Garousi
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