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Using spherical ansatz, we construct dual equations for non-abelian gauge fields in Minkowski space. The analytically continued instanton is shown to satisfy the dual equations but assumes a more ansatz. It is not the solution of MIT second…

High Energy Physics - Phenomenology · Physics 2007-05-23 Liang-Xin Li , Bing-Lin Young

We extend to a non-Hermitian fermionic quantum field theory with PT symmetry our previous discussion of second quantization, discrete symmetry transformations, and inner products in a scalar field theory [arXiv:2006.06656]. For…

High Energy Physics - Theory · Physics 2022-09-12 Jean Alexandre , John Ellis , Peter Millington

We prove a topological version of abelian duality where the gauge groups are finite abelian. The theories are finite homotopy TFTs, topological analogues of the $p$-form $U(1)$ gauge theories. Using Brown-Comenetz duality, we extend the…

Mathematical Physics · Physics 2022-11-30 Yu Leon Liu

We analyse super non-Abelian T-duality for principal chiral models, symmetric space sigma models, and semi-symmetric space sigma models for general Lie supergroups. This includes T-duality along both bosonic and fermionic directions. As an…

High Energy Physics - Theory · Physics 2022-08-10 Daniele Bielli , Silvia Penati , Dmitri Sorokin , Martin Wolf

We investigate how T-duality and solving the boundary conditions of the open bosonic string are related. We start by considering the T-dualization of the open string moving in the constant background. We take that the coordinates of the…

High Energy Physics - Theory · Physics 2019-10-21 Ljubica Davidović , Branislav Sazdović

The higher-derivative $\alpha'$ corrections consistent with $O(d,d)$ duality invariance can be completely classified for cosmological, purely time-dependent backgrounds. This result is used to show that there are duality invariant theories…

High Energy Physics - Theory · Physics 2020-01-08 Olaf Hohm , Barton Zwiebach

We study exhaustively the solution-generating transformations (dualities) that occur in the context of the low-energy effective action of superstring theory. We first consider target-space duality (``T duality'') transformations in absence…

High Energy Physics - Theory · Physics 2009-10-28 Eric Bergshoeff , Bert Janssen , Tomas Ortin

In this paper, we consider the recently proposed bosonic/heterotic duality that relates the heterotic superstrings to the noncritical bosonic string. Although the latter is nonsupersymmetric, it can be viewed as pseudo-supersymmetric in…

High Energy Physics - Theory · Physics 2025-05-29 Kai-Peng Lu , H. Lu , Liang Ma

T-duality of string theory can be extended to the Poisson-Lie T-duality when the target space has a generalized isometry group given by a Drinfel'd double. In M-theory, T-duality is understood as a subgroup of U-duality, but the non-Abelian…

High Energy Physics - Theory · Physics 2020-07-08 Yuho Sakatani , Shozo Uehara

Two different families of abelian chiral gauge theories on the torus are investigated: the aim is to test the consistency of two-dimensional anomalous gauge theories in the presence of global degrees of freedom for the gauge field. An…

High Energy Physics - Theory · Physics 2009-10-31 L. Griguolo , D. Seminara

A brief review of the status of duality symmetries in string theory is presented. The evidence is accumulating rapidly that an enormous group of duality symmetries, including perturbative T dualities and non-perturbative S-dualities,…

High Energy Physics - Theory · Physics 2007-05-23 John H. Schwarz

We analyse an ambiguity in previous works on entanglement of fermionic fields in non-inertial frames. This ambiguity, related to the anticommutation properties of field operators, leads to non-unique results when computing entanglement…

Quantum Physics · Physics 2011-06-27 M. Montero , E. Martin-Martinez

The double field theory monopole solution by Berman and Rudolph is shown to reproduce non-geometric backgrounds with non-vanishing Q- and R-flux upon an appropriate choice of physical and dual coordinates. The obtained backgrounds depend…

High Energy Physics - Theory · Physics 2016-11-23 Ilya Bakhmatov , Axel Kleinschmidt , Edvard T. Musaev

We present a brief discussion of recent work on duality symmetries in non-trivial string backgrounds. Duality is obtained from a gauged non-linear sigma-model with vanishing gauge field strength. Standard results are reproduced for abelian…

High Energy Physics - Theory · Physics 2009-09-25 Fernando Quevedo

Following on from arXiv:1805.03657, we consider open strings in the non-Abelian T-dual of the $SU(2)_k$ WZW model, with respect to the vector $SU(2)$ isometry. Since in this case the dual theory has an exact CFT description, we look at the…

High Energy Physics - Theory · Physics 2018-08-15 Benjo Fraser

We first point out to all order $\alpha'$ corrections to lower order fermionic couplings and their effective actions of type II super string theory. In order to reveal all symmetries of the particular D-brane Anti-D-brane system, and to…

High Energy Physics - Theory · Physics 2019-05-29 Ehsan Hatefi

We derive the actions for type II Green-Schwarz strings up to second order in the fermions, for general bosonic backgrounds. We base our work on the so-called normal coordinate expansion. The resulting actions are $\kappa$-symmetric and,…

High Energy Physics - Theory · Physics 2009-11-10 Luca Martucci , Pedro J. Silva

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

Let (M^n,g) be a Riemannian spin manifold. The basic equations in supergravity models of type IIa string theory with 4-form flux involve a 3-form T, a 4-form F, a spinorial covariant derivative \nabla depending on \nabla^g, T, F, and a…

Differential Geometry · Mathematics 2008-11-26 Christof Puhle

Via T-duality a theory of open strings on a D1-brane wrapped along a cycle of slanted torus is described by a U(1) gauge theory on a D2-brane in the B-field background. It is also known that there is another dual description of the D1-brane…

High Energy Physics - Theory · Physics 2009-10-31 Yosuke Imamura
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