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We study a connection between duality and topological field theories. First, 2d Kramers-Wannier duality is formulated as a simple 3d topological claim (more or less Poincare duality), and a similar formulation is given for…

High Energy Physics - Theory · Physics 2015-06-26 Pavol Severa

This thesis investigates the quantum properties of T-duality invariant formalisms of String Theory. We introduce and review duality invariant formalisms of String Theory including the Doubled Formalism. We calculate the background field…

High Energy Physics - Theory · Physics 2010-12-21 Daniel C. Thompson

We perform non-abelian T-duality for a generic Green-Schwarz string with respect to an isometry (super)group G, and we derive the transformation rules for the supergravity background fields. Specializing to G bosonic, or G fermionic but…

High Energy Physics - Theory · Physics 2018-08-29 Riccardo Borsato , Linus Wulff

We demonstrate the existence of a broad class of non-perturbative fermionic solutions to the Euclidean supergravity equations of motion, which are half-BPS and nonsingular, possess zero action, and obey an (anti)self-duality condition.…

High Energy Physics - Theory · Physics 2016-05-04 N. Houston

We establish that the recently discovered fermionic T-duality can be viewed as a canonical transformation in phase space. This requires a careful treatment of constrained Hamiltonian systems. Additionally, we show how the canonical…

High Energy Physics - Theory · Physics 2011-02-18 K. Sfetsos , K. Siampos , Daniel C. Thompson

In this paper we present cosmological solutions of Double Field Theory in the supergravity frame and in the winding frame which are related via T-duality. In particular, we show that the solutions can be viewed without the need of…

High Energy Physics - Theory · Physics 2019-03-27 Heliudson Bernardo , Robert Brandenberger , Guilherme Franzmann

We give a simple general extension to all free bosonic and fermionic massless gauge fields of a recent proof that spin 2 is duality invariant in flat space. We also discuss its validity in (A)dS backgrounds and the relevance of…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , D. Seminara

We study a connection between duality and topological field theories. First, 2d Kramers-Wannier duality is formulated as a simple 3d topological claim (more or less Poincar\'e duality), and a similar formulation is given for…

High Energy Physics - Theory · Physics 2009-09-25 Pavol Severa

For a general class of SO(4) symmetric backgrounds in type II-supergravity, we show that the action of non-Abelian T-duality can be described via consistent truncation to seven dimensional theories with seemingly massive modes. As such, any…

High Energy Physics - Theory · Physics 2015-06-05 Georgios Itsios , Yolanda Lozano , Eoin Ó Colgáin , Konstadinos Sfetsos

It is known that the transformations of fermionic T-duality, derived from the worldsheet theory, generically transform real supergravity backgrounds to complex supergravity backgrounds. We consider the low-energy target space theory and…

High Energy Physics - Theory · Physics 2011-01-20 Hadi Godazgar , Malcolm J. Perry

We study T-duality in the Green-Schwarz formalism to all orders in superspace coordinates. We find two analogs of Buscher rules for the supervielbein and clarify their meaning from the superstring point of view. The transformation rules for…

High Energy Physics - Theory · Physics 2009-10-31 Bogdan Kulik , Radu Roiban

We investigate the effect of T-duality on noncommutativity. Starting with open strings ending on a D2-brane wrapped on a $T^2$ torus in the presence of a Kalb Ramond field, we consider Buscher transformations on the coordinates and…

High Energy Physics - Theory · Physics 2010-05-28 C. A. Ballon Bayona , Nelson R. F. Braga , Rafael D'Andrea

The equations that follow from kappa symmetry of the type II Green-Schwarz string are a certain deformation, by a Killing vector field $K$, of the type II supergravity equations. We analyze under what conditions solutions of these…

High Energy Physics - Theory · Physics 2018-04-20 Linus Wulff

We initiate the study of the interplay between T-duality and classical stress tensor deformations in two-dimensional sigma models. We first show that a general Abelian T-duality commutes with the $T \overline{T}$ deformation, which can be…

High Energy Physics - Theory · Physics 2024-08-14 Daniele Bielli , Christian Ferko , Liam Smith , Gabriele Tartaglino-Mazzucchelli

We study the effect of T-duality on supersymmetry in the context of type II supergravity. For both U(1) Abelian and SU(2) non-Abelian T-duality, we demonstrate that the supersymmetry variations after T-duality are related to the variations…

High Energy Physics - Theory · Physics 2016-12-01 Özgür Kelekci , Yolanda Lozano , Niall T. Macpherson , Eoin Ó Colgáin

This is a general introduction to duality in field theories. The existence and breaking of global symmetries is used as a guideline to systematically prove duality between different field theories. Systems discussed include abelian and…

High Energy Physics - Theory · Physics 2009-10-30 Fernando Quevedo

This thesis deals with the two duality symmetries of N=2 D=10 supergravity theories that are descendant from the full superstring theory: fermionic T-duality and U-duality. The fermionic T-duality transformation is applied to the D-brane…

High Energy Physics - Theory · Physics 2012-01-04 Ilya Bakhmatov

String theory appears to admit a group of discrete field transformations -- called $S$ dualities -- as exact non-perturbative quantum symmetries. Mathematically, they are rather analogous to the better-known $T$ duality symmetries, which…

High Energy Physics - Theory · Physics 2011-04-15 John H. Schwarz

T-duality is a symmetry of the heterotic string to all orders in string perturbation theory. This results in an effective four dimensional supergravity theory with desirable features for phenomenology. T-duality, as well as, generically, an…

High Energy Physics - Theory · Physics 2015-05-14 Mary K. Gaillard

We consider the $N\!=\!1$ supersymmetric $\sigma$-model and we examine the transformation properties of the partition function under target-space duality. Contrary to what one would expect, we find that it is not, in general, invariant. In…

High Energy Physics - Theory · Physics 2009-10-28 A. A. Kehagias