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In this paper we will study non-abelian Chern-Simons theory on a deformed superspace. We will deform the superspace in such a way that it includes the noncommutativity between bosonic and fermionic coordinates. We will first analyse the…

High Energy Physics - Theory · Physics 2015-06-05 Mir Faizal

In the present work certain features of the Penner model, such its enumerative meaning and its relation to the Chern-Simons theory on the 3-sphere, are reviewed. Also, some features related to geometric transitions at the level of the…

High Energy Physics - Theory · Physics 2011-09-20 O. P. Santillan

Higher-derivative terms in the string and M-theory effective actions are strongly constrained by supersymmetry. Using a mixture of techniques, involving both string amplitude calculations and an analysis of supersymmetry requirements, we…

High Energy Physics - Theory · Physics 2009-10-31 Kasper Peeters , Pierre Vanhove , Anders Westerberg

One of the most intriguing aspects of Chern-Simons-type topological models is the fractional statistics of point particles which has been shown essential for our understanding of the fractional quantum Hall effects. Furthermore these ideas…

High Energy Physics - Theory · Physics 2015-06-25 C. A. S. Almeida

It is a long-standing question to extend the definition of 3-dimensional Chern-Simons theory to one which associates values to 1-manifolds with boundary and to 0-manifolds. We provide a solution in case the gauge group is a torus. We also…

Algebraic Topology · Mathematics 2009-06-19 Daniel S. Freed , Michael J. Hopkins , Jacob Lurie , Constantin Teleman

In this work, we undertake a perturbative analysis of the topological non-Abelian Chern-Simons-Wong model with the aim to explicitly construct the second-order on-shell action. The resulting action is a topological quantity depending solely…

High Energy Physics - Theory · Physics 2024-06-03 M. Anda , E. Fuenmayor , L. Leal , E. Contreras

In this note we present a closed expression for the space-time effective action for all bosonic fields (massless and massive) obtained from the compactification of gravity or supergravity theories (such as type II or eleven-dimensional…

High Energy Physics - Theory · Physics 2015-06-23 Katrin Becker , Melanie Becker , Daniel Robbins

We study an Abelian gauged $O(5)$ Skyrme model in $4+1$ dimensions, featuring the $F^4$ Maxwell and the Chern-Simons terms. Our aim is to expose the mechanism, discovered in the analogous Abelian gauged $O(3)$ Skyrme model in $2+1$…

High Energy Physics - Theory · Physics 2021-01-27 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian

In the top-down holographic model of QCD based on D4/D8-branes in type IIA string theory and some of the bottom up models, the low energy effective theory of mesons is described by a 5 dimensional Yang-Mills-Chern-Simons theory in a certain…

High Energy Physics - Theory · Physics 2017-06-21 Pak Hang Chris Lau , Shigeki Sugimoto

We study N=2 supersymmetric Chern-Simons Higgs models in $(2+1)$-dimensions. As we will demonstrate, an extended supersymmetric quantum mechanics algebras underlies the fermionic zero modes quantum system and the zero modes corresponding to…

High Energy Physics - Theory · Physics 2015-06-16 V. K. Oikonomou

We consider 5 dimensional gauge theories where the 5th direction is compactified on an interval. The Chern-Simons (CS) terms (favored by naive dimensional analysis) are discussed. A simple scenario with an extra U(1)_X gauge field that…

High Energy Physics - Phenomenology · Physics 2009-04-21 Bohdan Grzadkowski , Jose Wudka

We write out some sequences of linear maps of vector spaces with fixed bases. Each term of a sequence is a linear space of differentials of metric values ascribed to the elements of a simplicial complex - a triangulation of a manifold. If…

Geometric Topology · Mathematics 2019-08-21 Igor G. Korepanov

We derive the usual first-order form of the Yang-Mills action in arbitrary dimensions by dimensional reduction from a Chern-Simons-like action. The antisymmetric tensor auxiliary field of the first-order action appears as a gauge field for…

High Energy Physics - Theory · Physics 2011-06-28 Warren Siegel

We show that the fundamental time reversal invariant (TRI) insulator exists in 4+1 dimensions, where the effective field theory is described by the 4+1 dimensional Chern-Simons theory and the topological properties of the electronic…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Xiao-Liang Qi , Taylor Hughes , Shou-Cheng Zhang

In Kaluza-Klein compactifications, some symmetries of the higher dimensional theory are preserved in lower dimensions, others are broken, and occasionally, there are symmetry enhancements. The symmetries that are enhanced by toroidal…

High Energy Physics - Theory · Physics 2024-10-11 Marco Ciafardini , Diego Marques , Carmen Nunez , Agustina Pereyra Grau

As we re-examine the known holographic N=1 supersymmetric renormalization group flow in four dimensions, we describe the mass-deformed Bagger-Lambert theory or equivalently the mass-deformed U(2) x U(2) Chern-Simons gauge theory with level…

High Energy Physics - Theory · Physics 2011-03-02 Changhyun Ahn

As generalizations of the original Volkov-Akulov action in four-dimensions, actions are found for all space-time dimensions D invariant under N non-linear realized global supersymmetries. We also give other such actions invariant under the…

High Energy Physics - Theory · Physics 2009-10-31 Hitoshi Nishino

Chern-Simons Theories with gauge super-groups appear naturally in string theory and they possess interesting applications in mathematics, e.g. for the construction of knot and link invariants. This paper is the first in a series where we…

High Energy Physics - Theory · Physics 2018-11-26 N. Aghaei , A. M. Gainutdinov , M. Pawelkiewicz , V. Schomerus

We show that the functional bosonization procedure can be generalized in such a way that, to any field theory with a conserved Abelian charge in (2+1) dimensions, there corresponds a dual Abelian gauge field theory. The properties of this…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , V. E. R. Lemes , L. E. Oxman , S. P. Sorella , O. S. Ventura

We investigate the quantization of two-dimensional version of the generalized Chern-Simons actions which were proposed previously. The models turn out to be infinitely reducible and thus we need infinite number of ghosts, antighosts and the…

High Energy Physics - Theory · Physics 2009-10-30 Noboru Kawamoto , Kazuhiko Suehiro , Takuya Tsukioka , Hiroshi Umetsu
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