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Vortices produce locally concentrated field configurations and are solutions to the nonlinear partial differential equations systems of complicated structures. In this paper, we establish the existence and uniqueness for solutions of the…

Analysis of PDEs · Mathematics 2024-05-31 Yilu Xu , Shouxin Chen

We point out that the moduli sector of the $(2,2)$ string compactification with its nonperturbatively preserved non-compact symmetries is a framework to study global topological defects. Based on the target space modular invariance of the…

High Energy Physics - Theory · Physics 2007-05-23 Mirjam Cvetic

We construct a (1,2) heterotic string with gauge symmetry and determine its particle spectrum. This theory has a local N=1 worldsheet supersymmetry for left movers and a local N=2 worldsheet supersymmetry for right movers and describes…

High Energy Physics - Theory · Physics 2009-10-30 David M. Pierce

Replaced with revised (uncorrupted) version We present a general scheme for generating (2,2) symmetric fermionic string models and classify the models in D=8 and D=6 space time dimensions. We discuss the relationship to other…

High Energy Physics - Theory · Physics 2010-11-01 S. A. Abel , C. M. A. Scheich

Recently we observed a crossover transition (in the Fayet-Iliopoulos parameter) from weak to strong coupling in N=2 supersymmetric QCD with the U(N) gauge group and N_f > N quark flavors. At strong coupling this theory can be described by a…

High Energy Physics - Theory · Physics 2010-05-27 M. Shifman , A. Yung

In typical examples of the AdS/CFT correspondence, the world-sheet theory with holes in the presence of D-branes is assumed to be equivalent in a low-energy limit to a world-sheet theory without holes for a different background such as…

High Energy Physics - Theory · Physics 2020-07-01 Yuji Okawa

We study a simple model supporting domain walls which possess two orientational moduli in addition to the conventional translational modulus. This model is conceptually close to Witten's cosmic strings. We observe an $O(3)$ sigma model on…

High Energy Physics - Theory · Physics 2015-01-06 Evgeniy Kurianovych , Mikhail Shifman

Quite often the zero mode dynamics on solitonic vortices are described by a non-conformal effective world-sheet sigma model (WSSM). We address the problem of solitonic string quantization in this case. As well-known, only crfitical strings…

High Energy Physics - Theory · Physics 2020-01-29 M. Shifman , A. Yung

For correlators in $\mathcal{N}=4$ Super Yang-Mills preserving half the supersymmetry, we manifestly recast the gauge theory Feynman diagram expansion as a sum over dual closed strings. Each individual Feynman diagram maps on to a Riemann…

High Energy Physics - Theory · Physics 2024-12-19 Rajesh Gopakumar , Rishabh Kaushik , Shota Komatsu , Edward A. Mazenc , Debmalya Sarkar

We construct a new model of four-dimensional relativistic strings with integrable dynamics on the worldsheet. In addition to translational modes this model contains a single massless pseudoscalar worldsheet field - the worldsheet axion. The…

High Energy Physics - Theory · Physics 2016-03-23 Sergei Dubovsky , Victor Gorbenko

We continue explorations of deformed Abrikosov-Nielsen-Olesen (ANO) strings, with non-Abelian moduli on the world sheet. In a simple model with an extra field we find classically stable ANO and non-Abelian strings. The tension of the latter…

High Energy Physics - Theory · Physics 2015-06-18 M. Shifman , Gianni Tallarita , A. Yung

In this paper, we consider two types of topological solitons in a generalized Born-Infeld-Higgs model. We explore the self-dual structure of the model and prove the existence of planar vortex solutions. Furthermore, we couple the system…

Mathematical Physics · Physics 2022-08-23 Kai Shao

We investigate general observables of the complex Liouville string with worldsheet boundaries. We develop a universal formalism that reduces such observables to ordinary closed string amplitudes without boundaries, applicable to any…

High Energy Physics - Theory · Physics 2025-08-13 Scott Collier , Lorenz Eberhardt , Beatrix Mühlmann , Victor A. Rodriguez

The three string vertex for Type IIB superstrings in a maximally supersymmetric plane-wave background is investigated. Specifically, we derive a factorization theorem for the Neumann coefficients that generalizes a flat-space result that…

High Energy Physics - Theory · Physics 2009-11-07 John H. Schwarz

A non-abelian generalisation of a theory of gravity coupled to a 2-form gauge field and a dilaton is found, in which the metric and 3-form field strength are Lie algebra-valued. In the abelian limit, the curvature with torsion is self-dual…

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

When using Einstein's equations, there exist a number of techniques for embedding non-linear structures in cosmological backgrounds. These include Swiss cheese models, in which spherically symmetric vacua are patched onto Friedmann…

General Relativity and Quantum Cosmology · Physics 2015-09-23 Timothy Clifton

We consider the equations of motion of the non-abelian 5-branes theory recently constructed in http://arxiv.org/abs/arXiv:1203.4224 and find exact string solutions both for uncompactified and compactified spacetime. Although one does not…

High Energy Physics - Theory · Physics 2015-06-05 Chong-Sun Chu , Sheng-Lan Ko , Pichet Vanichchapongjaroen

We review the algebraic approach to super non-Abelian T-Duality considered in [1], focusing on symmetric and semi-symmetric coset spaces on $G/H$. We discuss a potential impediment, appearing in these models when integrating out the gauge…

High Energy Physics - Theory · Physics 2022-09-16 Daniele Bielli

We study deformations of closed string theory by primary fields of conformal weight $(1,1)$, using conformal techniques on the complex plane. A canonical surface integral formalism for computing commutators in a non-holomorphic theory is…

High Energy Physics - Theory · Physics 2010-11-01 Martin Cederwall , Alexander von Gussich , Per Sundell

In this talk new formulations of the Green--Schwarz heterotic strings in $D$ dimensions that involve commuting spinors, are reviewed. These models are invariant under $n$--extended, world sheet supersymmetry as well as under $N=1$, target…

High Energy Physics - Theory · Physics 2007-05-23 M. Tonin