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We consider a TFT on the product of a manifold with an interval, together with a topological and a non-topological boundary condition imposed at the two respective ends. The resulting (in general higher gauge) field theory is…

High Energy Physics - Theory · Physics 2026-04-01 Ján Pulmann , Pavol Ševera , Fridrich Valach

We show the derivation of the self-duality relation of abelian higher-form gauge field strength in the topologically nontrivial spacetime background. The so-called Pasti-Sorokin-Tonin action for the self-dual abelian gauge field assumes…

High Energy Physics - Theory · Physics 2016-06-21 Hiroshi Isono

We extend the traditional formulation of Gauge Field Theory by incorporating the (non-Abelian) gauge group parameters (traditionally simple spectators) as new dynamical (nonlinear-sigma-model-type) fields. These new fields interact with the…

High Energy Physics - Theory · Physics 2014-11-18 V Aldaya , M Calixto , F F Lopez-Ruiz , E Sanchez-Sastre

The phenomenon of BCJ duality implies that gauge theories possess an abstract kinematic algebra, mirroring the non-abelian Lie algebra underlying the colour information. Although the nature of the kinematic algebra is known in certain…

High Energy Physics - Theory · Physics 2024-01-22 Kymani Armstrong-Williams , Silvia Nagy , Chris D. White , Sam Wikeley

Using the recent advances in our understanding of non-perturbative aspects of type II strings we show how non-trivial exact results for $N=2$ quantum field theories can be reduced to T-dualities of string theory. This is done by…

High Energy Physics - Theory · Physics 2009-10-30 Sheldon Katz , Albrecht Klemm , Cumrun Vafa

The problem of quantum equivalence between non-linear sigma models related by Abelian or non-Abelian T-duality is studied in perturbation theory. Using the anomalous Ward identity for Weyl symmetry we derive a relation between the Weyl…

High Energy Physics - Theory · Physics 2009-10-31 J. Balog , P. Forgacs , N. Mohammedi , L. Palla , J. Schnittger

In this work, we show that duality symmetry can be implemented for massive theories at the level of the action, whenever we can formulate appropriates gauge invariant actions. For a massive vectorial field, we use a known gauge invariant…

High Energy Physics - Theory · Physics 2015-03-11 Adel Khoudeir , David Sierra

Novel Lagrangians are discussed in which (non-abelian) electric and magnetic gauge fields appear on a par. To ensure that these Lagrangians describe the correct number of degrees of freedom, tensor gauge fields are included with…

High Energy Physics - Theory · Physics 2009-11-11 Bernard de Wit , Henning Samtleben , Mario Trigiante

A careful treatment of closed string BRST cohomology shows that there are more discrete states and associated symmetries in $D=2$ string theory than has been recognized hitherto. The full structure, at the $SU(2)$ radius, has a natural…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten , Barton Zwiebach

String theories should reduce to ordinary four-dimensional field theories at low energies. Yet the formulation of the two are so different that such a connection, if it exists, is not immediately obvious. With the Schwinger proper-time…

High Energy Physics - Theory · Physics 2009-10-28 Y. J. Feng , C. S. Lam

We consider theories with gauged chiral fermions in which there are abelian anomalies, and no nonabelian anomalies (but there may be nonabelian gauge fields present). We construct an associated theory that is gauge-invariant,…

High Energy Physics - Theory · Physics 2008-02-03 Paul Federbush

The focus of the present thesis is on the analysis of gauge symmetry and its various impacts on gauge theories. In the first part of this thesis, we have studied different aspects of symmetries in connection with various field and string…

High Energy Physics - Theory · Physics 2009-09-23 Anirban Saha

Target space duality is one of the most profound properties of string theory. However it customarily requires that the background fields satisfy certain invariance conditions in order to perform it consistently; for instance the vector…

High Energy Physics - Theory · Physics 2016-05-17 Athanasios Chatzistavrakidis , Andreas Deser , Larisa Jonke

Einstein- Schroedinger (ES) non-symmetric theory has been extended to accommodate the Abelian and non-Abelian gauge theories of dyons in terms of the quaternion-octonion metric realization. Corresponding covariant derivatives for complex,…

High Energy Physics - Theory · Physics 2008-11-26 P. S. Bisht , O. P. S. Negi

We consider the construction of gauge theories of gravity that are invariant under local conformal transformations. We first clarify the geometric nature of global conformal transformations, in both their infinitesimal and finite forms, and…

General Relativity and Quantum Cosmology · Physics 2022-01-10 Michael Hobson , Anthony Lasenby

We consider axially symmetric static metrics in arbitrary dimension, both with and without a cosmological constant. The most obvious such solutions have an SO(n) group of Killing vectors representing the axial symmetry, although one can…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Christos Charmousis , Ruth Gregory

We make a systematic development of the non-Abelian formulation of two-form gauge fields with topological coupling with the Yang-Mills one-form connection. An analysis of the gauge structure, reducibility conditions and physical degrees of…

High Energy Physics - Theory · Physics 2007-05-23 R. Amorim , J. Barcelos-Neto

Abelian T-duality in Gauged Linear Sigma Models (GLSM) forms the basis of the physical understanding of Mirror Symmetry as presented by Hori and Vafa. We consider an alternative formulation of Abelian T-duality on GLSM's as a gauging of a…

High Energy Physics - Theory · Physics 2019-02-04 Nana Cabo Bizet , Aldo Martínez-Merino , Leopoldo A. Pando Zayas , Roberto Santos-Silva

Using a $U$-duality symmetry of type II compactification on $T^4$ represented by triality action on the $T$-duality group, and applying the adiabatic argument we construct dual pairs of type II compactifications in lower dimensions. The…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen , Cumrun Vafa

We consider N = 2 superconformal field theory with following properties: a) Coulomb branch operators have fractional scaling dimensions, b) there are exact marginal deformations . The weakly coupled gauge theory descriptions are found by…

High Energy Physics - Theory · Physics 2016-02-12 Dan Xie , Shing-Tung Yau