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We study duality twisted reductions of the Double Field Theory (DFT) of the RR sector of massless Type II theory, with twists belonging to the duality group $Spin^+(10,10)$. We determine the action and the gauge algebra of the resulting…

High Energy Physics - Theory · Physics 2017-09-19 Aybike Catal-Ozer

We explore perturbative double field theory about time-dependent (cosmological) backgrounds to cubic order. To this order the theory is consistent in a weakly constrained sense, so that for a toroidal geometry it encodes both momentum and…

High Energy Physics - Theory · Physics 2023-05-03 Olaf Hohm , Allison F. Pinto

Quantization of two-dimensional Yang-Mills theory on a torus in the gauge where the field strength is diagonal leads to twisted sectors that are completely analogous to the ones that originate long string states in Matrix String Theory. If…

High Energy Physics - Theory · Physics 2009-10-31 M. Billo' , M. Caselle , A. D'Adda , P. Provero

Motivated by its links to $\tau$-tilting theory, we introduce a generalization of cotorsion pairs in module categories. Such pairs are also linked to co-t-structures in corresponding triangulated categories, and to cotorsion pairs in…

Representation Theory · Mathematics 2021-11-23 Aslak Bakke Buan , Yu Zhou

We present the dual formulation of double field theory at the linearized level. This is a classically equivalent theory describing the duals of the dilaton, the Kalb-Ramond field and the graviton in a T-duality or O(D,D) covariant way. In…

High Energy Physics - Theory · Physics 2016-06-29 Eric A. Bergshoeff , Olaf Hohm , Victor A. Penas , Fabio Riccioni

We present several pieces of evidence for strong-weak coupling duality symmetry in the heterotic string theory, compactified on a six dimensional torus. These include symmetry of the 1) low energy effective action, 2) allowed spectrum of…

High Energy Physics - Theory · Physics 2009-07-09 Ashoke Sen

In a completely systematic and geometric way, we derive maximal and half-maximal supersymmetric gauged double field theories in lower than ten dimensions. To this end, we apply a simple twisting ansatz to the $D=10$ ungauged maximal and…

High Energy Physics - Theory · Physics 2015-09-01 Wonyoung Cho , J. J. Fernández-Melgarejo , Imtak Jeon , Jeong-Hyuck Park

We describe and solve a double scaling limit of large N Yang-Mills theory on a two-dimensional torus. We find the exact strong-coupling expansion in this limit and describe its relation to the conventional Gross-Taylor series. The limit…

High Energy Physics - Theory · Physics 2009-11-10 L. Griguolo , D. Seminara , R. J. Szabo

We review here some of the checks of string-string duality between N=2, D=4 Heterotic and Type II models. The heterotic low energy field theory is reproduced on the type II side. It is also shown to be a generalization in the string context…

High Energy Physics - Theory · Physics 2009-10-30 H. Partouche

We consider the closed string propagating in the weakly curved background which consists of constant metric and Kalb-Ramond field with infinitesimally small coordinate dependent part. We propose the procedure for constructing the T-dual…

High Energy Physics - Theory · Physics 2014-03-03 Lj. Davidović , B. Sazdović

We study target space theory on a torus for the states with $N_L+N_R=2$ through Double Field Theory. The spin-two Fierz-Pauli fields are not allowed when all spatial dimensions are non-compact. The massive states provide both non-vanishing…

High Energy Physics - Theory · Physics 2021-09-01 Chen-Te Ma

We present a formulation of heterotic Double Field Theory (DFT), where the fundamental fields are in $O(D,D)$ representations. The theory is obtained splitting an $O(D,D+K)$ duality invariant DFT. This procedure produces a Green-Schwarz…

High Energy Physics - Theory · Physics 2022-04-26 Eric Lescano , Sourav Roychowdhury

We examine various properties of double field theory and the doubled string sigma model in the context of geometric quantisation. In particular we look at T-duality as the symplectic transformation related to an alternative choice of…

High Energy Physics - Theory · Physics 2021-06-30 Luigi Alfonsi , David S. Berman

Previous constructions of supersymmetry for double field theory have relied on the so called strong constraint. In this paper, the strong constraint is relaxed and the theory is shown to possess supersymmetry once the generalised…

High Energy Physics - Theory · Physics 2015-06-15 David S. Berman , Kanghoon Lee

{}~~~We show that the recently constructed $~N=4$~ supersymmetric self-dual Yang-Mills theory as the consistent background of \hbox{$~N=2$} open superstring will generate Witten's topological field theory in two-dimensions as a descendant…

High Energy Physics - Theory · Physics 2009-10-22 H. Nishino

We systematically analyse weak coupling limits for 2-form tensor fields in the presence of gravity. Such limits are significant for testing various versions of the Weak Gravity and Swampland Distance Conjectures, and more broadly, the…

High Energy Physics - Theory · Physics 2019-07-04 Seung-Joo Lee , Wolfgang Lerche , Timo Weigand

This paper is a shortened version of the previous work hep-th/9907099: We propose a topological quantum field theory as a twisted candidate to formulate covariant matrix strings. The model relies on the octonionic or complexified instanton…

High Energy Physics - Theory · Physics 2007-05-23 Laurent Baulieu , Celine Laroche , Nikita Nekrasov

Extended Field Theories include Double Field Theory (DFT) and Exceptional Field Theory, which are respectively the T- and U-duality covariant formulations of the supergravity limit of String Theory and M-theory. Extended Field Theories do…

High Energy Physics - Theory · Physics 2021-08-24 Luigi Alfonsi

A fundamental step towards studying string theory vacua, and, ultimately, their stability, is that of understanding the underlying mathematical structure of the QFT resulting from its dimensional reduction on Calabi-Yau (CY) manifolds, the…

High Energy Physics - Theory · Physics 2024-07-11 Veronica Pasquarella

We study a topological field theory describing confining phases of gauge theories in four dimensions. It can be formulated on a lattice using a discrete 2-form field talking values in a finite abelian group (the magnetic gauge group). We…

High Energy Physics - Theory · Physics 2013-09-23 Anton Kapustin , Ryan Thorngren