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The path integral for the partition function of Chern-Simons gauge theory with a compact gauge group is evaluated on a general Seifert 3-manifold. This extends previous results and relies on abelianisation, a background field method and…

High Energy Physics - Theory · Physics 2018-12-31 Matthias Blau , Keita Kaniba Mady , K. S. Narain , George Thompson

In supersymmetric (SUSY) field theory, there exist configurations which formally satisfy SUSY conditions but are not on original path integral contour. We refer to such configurations as complexified supersymmetric solutions (CSS). In this…

High Energy Physics - Theory · Physics 2018-07-18 Masazumi Honda

We study the Skyrmion of the $SO(2)$ gauged $O(3)$ sigma model in $2+1$ dimensions in the presence of a Skyrme--Chern-Simons (SCS) term, and compare its properties with the corresponding properties of the Skyrmion in the presence of the…

High Energy Physics - Theory · Physics 2024-06-24 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 half-BPS surface operators in 5d N=1 gauge theories compactified on a circle. Using localization methods and the twisted chiral ring relations of coupled 3d/5d quiver gauge theories, we calculate the twisted chiral superpotential…

High Energy Physics - Theory · Physics 2019-08-09 S. K. Ashok , M. Billo , E. Dell'Aquila , M. Frau , V. Gupta , R. R. John , A. Lerda

Models which solve the strong CP problem by employing discrete spacetime symmetries generically suffer fine-tuning and quality problems. We demonstrate that these issues are greatly ameliorated when the only source of spontaneous CP…

High Energy Physics - Phenomenology · Physics 2026-03-27 Csaba Csáki , Samuel Homiller , Taewook Youn

Chern-Simons field theory based on a compact non-abelian gauge group is studied as a theory of knots and links in three dimensions. A method to obtain the invariants for links made from braids of upto four strands is developed. This…

High Energy Physics - Theory · Physics 2009-10-22 P. Rama Devi , T. R. Govindarajan , R. K. Kaul

We consider a chiral gauge theory from which light composite Dirac neutrinos dynamically emerge, augmented by a QCD axion to solve the strong CP problem. We show that an interplay between the composite sector and the axion can also…

High Energy Physics - Phenomenology · Physics 2022-02-02 Sabyasachi Chakraborty , Tae Hyun Jung , Takemichi Okui

We study the consequences of the existence and breaking of a Peccei--Quinn symmetry within the context of a dynamical model of electroweak symmetry breaking based on broken gauged flavour symmetries. We perform an estimate of the axion mass…

High Energy Physics - Phenomenology · Physics 2009-10-22 T. Elliott , S. F. King

We examine the claim that the effective action of four-dimensional SU(2)_L gauge theory at high and low temperature contains a three-dimensional Chern-Simons term with coefficient being the chemical potential for baryon number. We perform…

High Energy Physics - Theory · Physics 2009-09-11 Jim McCarthy , Andy Wilkins

The \mu parameter of the supersymmetric standard model is replaced by \lambda S, where S is a singlet chiral superfield, introducing a Peccei--Quinn symmetry into the theory. Dynamics at the electroweak scale naturally solves both the…

High Energy Physics - Phenomenology · Physics 2014-11-18 Brian Feldstein , Lawrence J. Hall , Taizan Watari

We argue that the axion arising in the solution of the strong CP problem can be identified with the Majoron, the (pseudo-)Goldstone boson of spontaneously broken lepton number symmetry. At low energies, the associated $U(1)_L$ becomes, via…

High Energy Physics - Phenomenology · Physics 2011-02-08 Adam Latosinski , Krzysztof A. Meissner , Hermann Nicolai

Focusing on gauge degrees of freedom specified by a 1+3 dimensions model hosting a Maxwell term plus a Lorentz and CPT non-invariant Chern-Simons-like contribution, we obtain a minimal extension of such a system to a supersymmetric…

High Energy Physics - Theory · Physics 2009-11-10 H. Belich , J. L. Boldo , L. P. Colatto , J. A. Helayel-Neto , A. L. M. A. Nogueira

We discuss the notion of mass, mostly for fermions, and its relation to the breaking of CP invariance, the natural symmetry of gauge interactions. In a first model, we show how compactification on a Vortex in 2 extra dimensions leads to a…

High Energy Physics - Phenomenology · Physics 2009-09-29 J. -M. Frère

We study dynamical baryons in the holographic QCD model of Sakai and Sugimoto in the case of three flavors and with special interest in the construction of the Chern-Simons (CS) term. The baryon classical solution in this model is given by…

High Energy Physics - Theory · Physics 2008-11-26 Hiroyuki Hata , Masaki Murata

A generalization of Chern-Simons gauge theory is formulated in any dimension and arbitrary gauge group where gauge fields and gauge parameters are differential forms of any degree. The quaternion algebra structure of this formulation is…

High Energy Physics - Theory · Physics 2017-05-31 Alessandro D'Adda , Noboru Kawamoto , Naoki Shimode , Takuya Tsukioka

We consider the bosonic and fermionic symmetries of five-dimensional Maxwell- and Yang-Mills-Einstein supergravity theories on a spacetime with boundaries (isomorphic to M x S1/Z2). Due to the appearance of the "Chern-Simons" term, the…

High Energy Physics - Theory · Physics 2008-11-26 Sean McReynolds

We study 2+1 dimensional gauge theories with a Chern-Simons term and a fermion in the adjoint representation. We apply general considerations of symmetries, anomalies, and renormalization group flows to determine the possible phases of the…

High Energy Physics - Theory · Physics 2018-07-25 Jaume Gomis , Zohar Komargodski , Nathan Seiberg

Inspired by recent studies of high-scale decay constant or flavorful QCD axions, we review and clarify their existence in effective string models with anomalous $U(1)$ gauge groups. We find that such models, when coupled to charged scalars…

High Energy Physics - Phenomenology · Physics 2019-01-21 Quentin Bonnefoy , Emilian Dudas

We discuss several aspects of three dimensional N=2 supersymmetric gauge theories coupled to chiral multiplets. The generation of Chern-Simons couplings at low-energies results in novel behaviour including compact Coulomb branches,…

High Energy Physics - Theory · Physics 2010-02-03 David Tong