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We present the partition function of the refined Chern-Simons theory on $S^3$ with arbitrary A,B,C,D gauge algebra in terms of multiple sine functions. For B and C cases this representation is novel. It allows us to conjecture duality to…

High Energy Physics - Theory · Physics 2022-11-30 M. Y. Avetisyan , R. L. Mkrtchyan

The five dimensional Einstein-Gauss-Bonnet gravity with a negative cosmological constant becomes, for a special value of the Gauss-Bonnet coupling constant, a Chern-Simons (CS) theory of gravity. In this work we discuss the properties of…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Yves Brihaye , Eugen Radu

By imposing self-duality conditions, we obtain the explicit form in which gauge theories spontaneously breakdown in the Bogomol'nyi limit. In this context, we reconsider the Abelian Higgs, Chern-Simons Higgs and Maxwell-Chern-Simons Higgs…

High Energy Physics - Theory · Physics 2007-05-23 M. S. Cunha , H. R. Christiansen , C. A. S. Almeida

In this paper, we discuss the self-consistency condition for the spherical symmetric Klein-Gordon equation, and then discuss a natural possibility that gravity and weak coupling constants g_G and g_W may be defined after g_{EM}. In this…

High Energy Physics - Theory · Physics 2016-09-06 Miyuki Nishikawa

$N=2$ string theories are formulated in space-times with 2 space and 2 time dimensions. If the world-sheet matter system consists of 2 chiral superfields, the space-time is Kahler and the dynamics are those of anti-self-dual gravity. If…

High Energy Physics - Theory · Physics 2009-10-30 C. M. Hull

We consider general relativity with cosmological constant minimally coupled to electromagnetic field and assume that four-dimensional space-time manifold is the warped product of two surfaces with Lorentzian and Euclidean signature metrics.…

General Physics · Physics 2019-07-31 D. E. Afanasev , M. O. Katanaev

We review some aspects of the construction of self-dual gravity and the associated field theory of ${\cal N}=2$ strings in terms of two-dimensional sigma models at large $N$. The theory is defined through a large $N$ Wess-Zumino-Witten…

High Energy Physics - Theory · Physics 2015-06-26 A. Jevicki , M. Mihailescu , J. P. Nunes

We examine string-theory orientifold planes of various types including the Sp and SO-odd planes, and deduce the gravitational Chern-Simons couplings on their world-volumes. Consistency checks are carried out in different spacetime…

High Energy Physics - Theory · Physics 2009-10-31 Sunil Mukhi , Nemani V. Suryanarayana

We investigate the existence of non-topological solutions $(u_1,u_2)$ satisfying $$u_{i}(x)=-2\beta_i\ln|x|+O(1),\quad\text{as }|x|\rightarrow +\infty,$$ such that $\beta_i>1$ and $$(\beta_1-1)(\beta_2-1)>(N_1+1)(N_2+1),$$ for a…

Analysis of PDEs · Mathematics 2014-01-08 Genggeng Huang , Chang-Shou Lin

In this paper we study the consistency of generalized global symmetries in theories of quantum gravity, in particular string theory. Such global symmetries arise in theories with $(p+1)$-form gauge fields, and for spacetime dimension $d\leq…

High Energy Physics - Theory · Physics 2017-09-13 Miguel Montero , Angel M. Uranga , Irene Valenzuela

We provide a necessary and sufficient condition for the consistency of the supertrace, through the existence of a certain ground state projector. We build this projector and check its properties to the first two orders in the number…

High Energy Physics - Theory · Physics 2016-03-03 Nicolas Boulanger , Per Sundell , Mauricio Valenzuela

We construct new 1/2 supersymmetric solutions in D=3, N=2, matter coupled, U(1) gauged supergravities and study some of their properties. In the most general case they represent a string superposed with gravitational and Chern-Simons…

High Energy Physics - Theory · Physics 2010-02-03 N. S. Deger , O. Sarioglu

We investigate the vacuum and charged spherically symmetric static solutions of the Einstein equations on cosmological background. The background metric is not flat, but curved, with constant - curvature spatial sections. Both vacuum and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. N. Tentyukov

Using the renormalization-group formalism, a sigma model of a special type- in which the metric and the dilaton depend explicitly on one of the string coordinates only-is investigated near two dimensions. It is seen that dilatonic gravity…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. D. Odintsov

The topological non-Abelian Chern-Simons theory with a boundary is shown to require a scalar field companion in order to preserve overall gauge-invariance both in the 3 dimensional manifold, as well as on its boundary. This scalar field,…

High Energy Physics - Theory · Physics 2017-05-04 Kumar Abhinav , Samir K. Paul

Cylindrically-symmetric solutions in Conformal Gravity are investigated and several new solutions are presented and discussed. Among them, a family of vacuum solutions, generalizations of the Melvin solution and cosmic strings of the…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Y. Brihaye , Y. Verbin

Starting from the Abelian Higgs field theory, we construct the theory of quantum Abrikosov--Nielsen--Olesen strings. It is shown that in four space -- time dimensions in the limit of infinitely thin strings, the conformal anomaly is absent,…

High Energy Physics - Theory · Physics 2008-11-26 E. T. Akhmedov , M. N. Chernodub , M. I. Polikarpov , M. A. Zubkov

We present a series of new solutions in five-dimensional Einstein-Maxwell-Chern-Simons theory with an arbitrary Chern-Simons coupling $\gamma$ and a cosmological constant $\Lambda$. For general $\gamma$ and $\Lambda$ we give various…

General Relativity and Quantum Cosmology · Physics 2013-11-13 Adel Bouchareb , Chiang-Mei Chen , Gérard Clément , Dmitri V. Gal'tsov

Self-dual abelian Higgs system, involving both the Maxwell and Chern-Simons terms are obtained from Carroll-Field-Jackiw theory by dimensional reduction. Bogomol'nyi-type equations are studied from theoretical and numerical point of view.…

High Energy Physics - Theory · Physics 2013-09-30 Rodolfo Casana , Lucas Sourrouille

Contact terms in two point functions of global symmetry currents have recently been proposed as a check of Seiberg-like duality in three dimensional supersymmetric field theories. In this paper we compute the contact terms for various N=2…

High Energy Physics - Theory · Physics 2015-06-19 Antonio Amariti , Claudius Klare
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