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We explore some of the global aspects of duality transformations in String Theory and Field Theory. We analyze in some detail the equivalence of dual models corresponding to different topologies at the level of the partition function and in…

High Energy Physics - Theory · Physics 2009-10-22 E. Alvarez , L. Alvarez-Gaume , J. L. F. Barbon , Y. Lozano

We study the problem of identifying the moduli fields in fermionic four-dimensional string models. We deform a free-fermionic model by introducing exactly marginal operators in the form of Abelian Thirring interactions on the world-sheet,…

High Energy Physics - Theory · Physics 2011-07-19 Jorge L. Lopez , D. V. Nanopoulos , Kajia Yuan

We show that in certain theories with topologically trivial quotient space of spontaneously broken gauge symmetry there can exist topologically stable strings that carry nonabelian gauge flux. These objects result from the ``accidental''…

High Energy Physics - Phenomenology · Physics 2010-11-01 G. Dvali , G. Senjanovi'{c}

In this paper we propose the most general classification of point-like and line-like extrinsic topological defects in (2+1)-dimensional Abelian topological states. We first map generic extrinsic defects to boundary defects, and then provide…

Strongly Correlated Electrons · Physics 2014-01-17 Maissam Barkeshli , Chao-Ming Jian , Xiao-Liang Qi

A systematic construction is given for N=1 open string boundary coupling to Abelian and non-Abelian Dp-brane worldvolume fields, in general curved backgrounds. The basic ingredient is a set of four ``boundary vectors'' that provide a…

High Energy Physics - Theory · Physics 2007-05-23 S. F. Hassan

In the present paper, we study a new kind of anabelian phenomenon concerning the smooth pointed stable curves in positive characteristic. It shows that the topological structures of moduli spaces of curves can be understood from the…

Algebraic Geometry · Mathematics 2023-01-13 Zhi Hu , Yu Yang , Runhong Zong

The theory of distributions in non-Riemannian spaces is used to obtain exact static thin domain wall solutions of Einstein-Cartan equations of gravity. Curvature $ \delta $-singularities are found while Cartan torsion is given by Heaviside…

General Relativity and Quantum Cosmology · Physics 2015-06-25 L. C. Garcia de Andrade

Topological defects, in particular cosmic strings, give rise to an interesting mechanism for generating the primordial perturbations in the early Universe which are required to explain the present structure. An overview of the cosmic string…

Astrophysics · Physics 2016-01-27 Robert H. Brandenberger

Non-Abelian global strings are expected to form during the chiral phase transition. They have orientational zero modes in the internal space, associated with the vector-like symmetry SU(N)_{L+R} broken in the presence of strings. The…

High Energy Physics - Phenomenology · Physics 2009-03-09 Eiji Nakano , Muneto Nitta , Taeko Matsuura

It is shown that the minimal left-right symmetric model admits cosmic string and domain wall solutions. The cosmic strings arise when the SU(2)_R is broken and can either be destabilized at the electroweak scale or remain stable through the…

High Energy Physics - Phenomenology · Physics 2014-11-17 U. A. Yajnik , Hatem Widyan , Shobhit Mahajan , Amitabha Mukherjee , Debajyoti Choudhari

We examine current-carrying configurations of cosmic strings in non-Abelian gauge theories. We study the solutions numerically and point out that the currents will be at best dynamically stable and not subject to any topological…

High Energy Physics - Phenomenology · Physics 2009-10-30 T. W. B. Kibble , G. Lozano , A. J. Yates

The standard topological approach to indistinguishable particles formulates exchange statistics by using the fundamental group to analyze the connectedness of the configuration space. Although successful in two and more dimensions, this…

Quantum Physics · Physics 2022-10-28 N. L. Harshman , A. C. Knapp

If the vacuum manifold of a field theory has the appropriate topological structure, the theory admits topological structures analogous to the D-branes of string theory, in which defects of one dimension terminate on other defects of higher…

High Energy Physics - Theory · Physics 2009-11-10 Mark Bowick , Antonio De Felice , Mark Trodden

We show that the discrete anomaly constraints governing popular non-Abelian symmetries of use in (e.g.) flavoured, supersymmetric, and dark matter model building typically subdivide into two classes differentiated by the simple restrictions…

High Energy Physics - Phenomenology · Physics 2018-11-15 Jim Talbert

We review and extend recent work on the application of the non-commutative geometric framework to an interpretation of the moduli space of vacua of certain deformations of N=4 super Yang-Mills theories. We present a simple worldsheet…

High Energy Physics - Theory · Physics 2009-10-31 David Berenstein , Vishnu Jejjala , Robert G. Leigh

We review the properties of static, higher dimensional black hole solutions in theories where non-abelian gauge fields are minimally coupled to gravity. It is shown that black holes with hyperspherically symmetric horizon topology do not…

General Relativity and Quantum Cosmology · Physics 2009-07-24 Betti Hartmann

Non-abelian black strings in a 5-dimensional Einstein-Yang-Mills model are considered. The solutions are spherically symmetric non-abelian black holes in 4 dimensions extended into an extra dimension and thus possess horizon topology S^2 x…

High Energy Physics - Theory · Physics 2009-11-10 Betti Hartmann

We study the topologically twisted string theory on the general back-ground $AdS_3\times {\cal N}$ which is compatible with the world-sheet N=2 superconformal symmetry and is extensively discussed in the recent works (hep-th/9904024,…

High Energy Physics - Theory · Physics 2009-10-31 Yuji Sugawara

The string-net approach by Levin and Wen and the local unitary transformation approach by Chen, Gu and Wen provided ways to systematically label non-chiral topological orders in 2D. In those approaches, different topologically ordered…

Strongly Correlated Electrons · Physics 2014-01-28 Fangzhou Liu , Zhenghan Wang , Yi-Zhuang You , Xiao-Gang Wen

Alice string is a topological defect with a very peculiar feature. When a defect with a monopole charge encircles an Alice string, the monopole charge changes sign. In this work, we generalize this notion to momentum space of periodic media…

Mesoscale and Nanoscale Physics · Physics 2020-05-29 Xiao-Qi Sun , Charles C. Wojcik , Shanhui Fan , Tomáš Bzdušek