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The requirement of an $SL(2)$ duality symmetry, mixing the worldvolume field equations with Bianchi identities, leads to a highly nonlinear equation involving the transformation parameters and certain worldvolume currents. In general, this…

High Energy Physics - Theory · Physics 2015-06-26 E. Sezgin

We hypothesize that the vacuum is spontaneously shifted from the self-dual point in the moduli space, at which all dimensions are compact, and that the true vacuum results from the decompactification of the four space-time dimensions and…

High Energy Physics - Phenomenology · Physics 2009-10-31 Y. Abe , C. Hattori , M. Ito , M. Matsunaga , T. Matsuoka

We propose a theoretical formulation of protected edge modes in the language of quantum field theories based on the contemporary understanding of the renormalization group. We use bulk and boundary renormalization arguments which have never…

High Energy Physics - Theory · Physics 2024-01-17 Yoshiki Fukusumi

With the help of the Penrose-Ward transform, which relates certain holomorphic vector bundles over the supertwistor space to the equations of motion of self-dual SYM theory in four dimensions, we construct hidden infinite-dimensional…

High Energy Physics - Theory · Physics 2007-05-23 Martin Wolf

Gauged linear sigma models with (0,2) supersymmetry allow a larger choice of couplings than models with (2,2) supersymmetry. We use this freedom to find a fully linear construction of torsional heterotic compactifications, including models…

High Energy Physics - Theory · Physics 2015-05-28 Callum Quigley , Savdeep Sethi

The partition functions of refined topological strings(A-models) are computed, which give rise to the circle-compactified five-dimensional supersymmetric linear quiver gauge theories in generic (not necessarily self-dual) Omega backgrounds.…

High Energy Physics - Theory · Physics 2012-11-30 Kei Ito

We consider classical and quantum integrable sigma models and their relations with the solutions of renormalization group equations. We say that an integrable sigma model possesses the "nice" duality property if the dual quantum field…

High Energy Physics - Theory · Physics 2019-02-11 Vladimir Fateev

We investigate in the simplest compact D=4 N=1 Type IIB orientifold models the sigma-model symmetry suggested by the proposed duality of these models to heterotic orbifold vacua. This symmetry is known to be present at the classical level,…

High Energy Physics - Theory · Physics 2009-10-31 Claudio A. Scrucca , Marco Serone

We study U-duality symmetries of toroidally compactified M theory from the membrane worldvolume point of view. This is done taking the most general set of bosonic background fields into account. Upon restriction to pure moduli backgrounds,…

High Energy Physics - Theory · Physics 2010-11-19 Andre Lukas , Burt A. Ovrut

In this paper, we study the perturbative aspects of a twisted version of the two-dimensional $(0,2)$ heterotic sigma model on a holomorphic gauge bundle $\mathcal E$ over a complex, hermitian manifold $X$. We show that the model can be…

High Energy Physics - Theory · Physics 2009-05-28 Meng-Chwan Tan

The gauged sigma-model argument that string backgrounds related by T-dual give equivalent quantum theories is revisited, taking careful account of global considerations. The topological obstructions to gauging sigma-models give rise to…

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

(0,2) gauged linear sigma models with torsion, corresponding to principal torus bundles over warped CY bases, provide a useful framework for getting exact statements about perturbative dualities in the presence of fluxes. In this context we…

High Energy Physics - Theory · Physics 2015-10-14 Dan Israel

Kutasov--type duals of supersymmetric gauge theories had been studied only in the dual regime and the s-confining case. Here we extend the discussion to the case of less flavor, analogous to the case of quantum-modified moduli space in…

High Energy Physics - Theory · Physics 2009-11-07 Hitoshi Murayama , Elena Perazzi

In order to study quantum aspects of $\s$-models related by Poisson--Lie T-duality, we construct three- and two-dimensional models that correspond, in one of the dual faces, to deformations of $S^3$ and $S^2$. Their classical canonical…

High Energy Physics - Theory · Physics 2009-10-31 Konstadinos Sfetsos

We describe topological gauge theories for which duality properties are encoded by construction. We study them for compact manifolds of dimensions four, eight and two. The fields and their duals are treated symmetrically, within the context…

High Energy Physics - Theory · Physics 2009-10-31 L Baulieu , S. L. Shatashvili

In this paper we show that the T-duality transform of Bouwknegt, Evslin and Mathai applies to determine isomorphisms of certain current algebras and their associated vertex algebras on topologically distinct T-dual spacetimes compactified…

Mathematical Physics · Physics 2013-04-15 Pedram Hekmati , Varghese Mathai

In this paper we investigate the vacuum energies of several models of quantum fields interacting with static external currents (linear couplings) concentrated along parallel branes with an arbitrary number of codimensions. We show that we…

High Energy Physics - Theory · Physics 2008-12-30 F. A. Barone , G. Flores-Hidalgo

Dynamical evolution is described as a parallel section on an infinite dimensional Hilbert bundle over the base manifold of all frames of reference. The parallel section is defined by an operator-valued connection whose components are the…

Quantum Physics · Physics 2009-11-07 Pravabati Chingangbam , Pankaj Sharan

Poisson-Lie dualising the eta deformation of the G/H symmetric space sigma model with respect to the simple Lie group G is conjectured to give an analytic continuation of the associated lambda deformed model. In this paper we investigate…

High Energy Physics - Theory · Physics 2017-12-06 Ben Hoare , Fiona K. Seibold

P. Clarke describes mirror symmetry as a duality between Landau--Ginzburg models, so that the dual of an LG model is another LG model. We describe examples in which the underlying space is a total space of a vector bundle on the projective…

Algebraic Geometry · Mathematics 2014-10-21 Brian Callander , Elizabeth Gasparim , Rollo Jenkins , Lino Marcos Silva