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In this paper, we establish graded T-duality for $2d$ $\sigma$-models with $H$-flux after localization. This establishes the most general version of T-duality for Type II String Theory. The graded T-duality map, which we call {\bf graded…

High Energy Physics - Theory · Physics 2024-11-26 Fei Han , Varghese Mathai

We analyze the tree-level potential of type IIB flux compactifications in warped Calabi-Yau orientifolds, in regions of weak coupling and moderately large complex structure. In this regime, one may approximate the flux-induced…

High Energy Physics - Theory · Physics 2023-02-15 Thibaut Coudarchet , Fernando Marchesano , David Prieto , Mikel A. Urkiola

T- and S-duality rules among the gauge potentials in type II supergravities are studied. In particular, by following the approach of arXiv:1909.01335, we determine the T- and S-duality rules for certain mixed-symmetry potentials, which…

High Energy Physics - Theory · Physics 2020-07-08 Yuho Sakatani

In this paper, we perform a systematic and analytical exploration of de Sitter conditions in type IIA compactifications with (non-)geometric fluxes along with the standard NS-NS and RR $p$-form fluxes. Exploiting the fact that the F-term…

High Energy Physics - Theory · Physics 2024-05-09 David Prieto , Joan Quirant , Pramod Shukla

We consider compactifications of type IIA superstring theory on mirror-folds obtained as K3 fibrations over two-tori with non-geometric monodromies involving mirror symmetries. At special points in the moduli space these are asymmetric…

High Energy Physics - Theory · Physics 2018-10-16 Chris Hull , Dan Israel , Alessandra Sarti

T-duality (Fourier-Mukai duality) and properties of classical instanton moduli spaces can be used to deduce some properties of $\alpha^{\prime}$-corrected moduli spaces of branes for Type IIA string theory compactified on $K3$ or $T^4$.…

High Energy Physics - Theory · Physics 2009-10-31 Sanjaye Ramgoolam

We study the properties of M and F theory compactifications to three and four dimensions with background fluxes. We provide a simple construction of supersymmetric vacua, including some with orientifold descriptions. These vacua, which have…

High Energy Physics - Theory · Physics 2009-10-31 Keshav Dasgupta , Govindan Rajesh , Savdeep Sethi

Spectral flow in two-dimensional field theories is known to correspond to geometrical twisting between two circles in the gravity dual. We generalize this operation to the geometries which have SO(k+1) x SO(k+1) isometries with k>1 and…

High Energy Physics - Theory · Physics 2024-08-19 Oleg Lunin , Parita Shah

We discuss type I -- heterotic duality in four-dimensional models obtained as a Coulomb phase of the six-dimensional U(16) orientifold model compactified on T^2 with arbitrary SU(16) Wilson lines. We show that Kahler potentials, gauge…

High Energy Physics - Theory · Physics 2014-11-18 I. Antoniadis , H. Partouche , T. R. Taylor

In [5], the notion of polynomial cocycles is used to give an expression for the second cohomology of T-groups with coefficients in a torsion-free nilpotent module. We make this expression concrete in the case of a T-group G of nilpotency…

Group Theory · Mathematics 2014-05-16 Karel Dekimpe , Manfred Hartl , Sarah Wauters

We geometrically engineer N=2 theories perturbed by a superpotential by adding 3-form flux with support at infinity to local Calabi-Yau geometries in type IIB. This allows us to apply the formalism of Ooguri, Ookouchi, and Park…

High Energy Physics - Theory · Physics 2014-11-18 Lotte Hollands , Joseph Marsano , Kyriakos Papadodimas , Masaki Shigemori

We examine the duality between type 0 noncritical strings and topological B-model strings, with special emphasis on the flux dependence. The former theory is known to exhibit holomorphic factorisation upto a subtle flux-dependent disc term.…

High Energy Physics - Theory · Physics 2010-10-27 Anindya Mukherjee , Sunil Mukhi , Rahul Nigam

In this paper we construct a special geometry over the moduli space of type II string vacua with both NS and RR fluxes turning on. Depending on what fluxes are turning on we divide into three cases of moduli space of generalized structures.…

High Energy Physics - Theory · Physics 2008-06-23 Boyu Hou , Sen Hu , Yanhong Yang

A geometric treatment of T-duality as an operation which acts on differential forms in superspace allows us to derive the complete set of T-duality transformation rules which relate the superfield potentials of D=10 type IIA supergravity…

High Energy Physics - Theory · Physics 2009-11-10 Igor A. Bandos , Bernard Julia

We initiate the systematic study of flux scalar potentials and their vacua by using asymptotic Hodge theory. To begin with, we consider F-theory compactifications on Calabi-Yau fourfolds with four-form flux. We argue that a classifications…

High Energy Physics - Theory · Physics 2020-12-16 Thomas W. Grimm , Chongchuo Li , Irene Valenzuela

A number of issues in heterotic double field theory are studied. This includes the analysis of the T-dual configurations of a flat constant gauge flux background, which turn out to be non-geometric. Performing a field redefinition to a…

High Energy Physics - Theory · Physics 2023-02-03 Ralph Blumenhagen , Rui Sun

We extend previous work on non-abelian T-duality in the presence of Ramond fluxes to cases in which the duality group acts with isotropy such as in backgrounds containing coset spaces. In the process we generate new supergravity solutions…

High Energy Physics - Theory · Physics 2011-06-28 Yolanda Lozano , Eoin 'O Colgain , Konstadinos Sfetsos , Daniel C. Thompson

We study the transport of generalized metrics between topological T-dual nilmanifolds through a Lie algebraic point of view. Emergent gravities are generalized metrics with symplectic B-fields. But this additional property might not be…

High Energy Physics - Theory · Physics 2023-12-14 Raju Roychowdhury , Leonardo Soriani

T-duality of gauge theories on a noncommutative $T^d$ can be extended to include fields with twisted boundary conditions. The resulting T-dual theories contain novel nonlocal fields. These fields represent dipoles of constant magnitude.…

High Energy Physics - Theory · Physics 2014-11-18 Aaron Bergman , Ori J. Ganor

In this note we explicitly show how the generalization of the T-duality symmetry of the supermembrane theory compactified in M9xT2 can be reduced to a parabolic subgroup of SL(2,Z) that acts non-linearly on the moduli parameters and on the…

High Energy Physics - Theory · Physics 2016-06-29 M. P. Garcia del Moral , J. M. Pena , A. Restuccia
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