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We measure the energy levels of the excitations of the flux tube between static quark and antiquark in three-dimensional SU(2) gauge theory. Combining exponential error reduction techniques and a variational method we are able to reduce the…

High Energy Physics - Lattice · Physics 2011-02-18 Bastian B. Brandt

We consider a discrete classical integrable model on the 3-dimensional cubic lattice. The solutions of this model can be used to parameterize the Boltzmann weights of the different 3-dimensional spin models. We have found the general…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 S. Pakuliak , S. Sergeev

We consider certain quantum spectral problems appearing in the study of local Calabi-Yau geometries. The quantum spectrum can be computed by the Bohr-Sommerfeld quantization condition for a period integral. For the case of small Planck…

High Energy Physics - Theory · Physics 2015-06-22 Min-xin Huang , Xian-fu Wang

In this work a spectral theory for 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation is developed. Spectral data for such solutions are defined (following Hitchin and Bobenko) and the space of spectral…

Differential Geometry · Mathematics 2016-08-01 Sebastian Klein

We present an analytic study of cosmic superconducting chiral string collisions in Minkowski space, applying the kinematic constraints that arise from the relevant generalization of the Nambu-Goto action. In particular, we revisit the…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-19 I. Yu. Rybak , A. Avgoustidis , C. J. A. P. Martins

We explore the formation of cosmic string Y-junctions when strings of two different types collide, which has recently become important since string theory can yield cosmic strings of distinct types. Using a model containing two types of…

High Energy Physics - Theory · Physics 2008-11-26 Neil Bevis , Paul M. Saffin

We generalize the conjectured connection between quantum spectral problems and topological strings to many local almost del Pezzo surfaces with arbitrary mass parameters. The conjecture uses perturbative information of the topological…

High Energy Physics - Theory · Physics 2015-07-01 Jie Gu , Albrecht Klemm , Marcos Marino , Jonas Reuter

Cosmic strings are predicted by many Standard Model extensions involving the cosmological breaking of a symmetry with nontrivial first homotopy group and represent a potential source of primordial gravitational waves (GWs). Present efforts…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-07 Pierre Auclair , Simone Blasi , Vedran Brdar , Kai Schmitz

String theory on NS-NS AdS_3 x S^3 admits an exactly marginal deformation which breaks the SL(2,R)_R x SL(2,R)_L isometry of AdS_3 down to SL(2,R)_R x U(1)_L. The holographic dual is an exotic and only partially understood type of…

High Energy Physics - Theory · Physics 2015-06-05 Tatsuo Azeyanagi , Diego M. Hofman , Wei Song , Andrew Strominger

We define the Seshadri constant of a space curve and consider ways to estimate it. We then show that it governs the gonality of the curve. We use an argument based on Bogomolov's instability theorem on a threefold. The same methods are then…

alg-geom · Mathematics 2008-02-03 Roberto Paoletti

In four dimensions, we consider a generalized scalar-tensor theory where the coupling functions only depend on the kinetic term of the scalar field. For this model, we obtain a set of hairy Anti-de-Sitter black hole solutions, allowing us…

High Energy Physics - Theory · Physics 2022-01-27 Moisés Bravo-Gaete , F. F. Santos

We obtain a non-relativistic diffeomorphism invariant string action as a special limit of the Nambu-Goto action in an FLRW background. We use this action to study non-relativistic string dynamics in an expanding universe and construct an…

Astrophysics · Physics 2009-06-19 A. Avgoustidis , Joaquim Gomis

We examine the large-time behaviour of solutions to the compressible Navier-Stokes equations under the assumption of radial symmetry. In particular, we calculate a fast time-decay estimate of the norm of the nonlinear part of the solution.…

Analysis of PDEs · Mathematics 2024-01-04 Tsukasa Iwabuchi , Dáithí Ó hAodha

Chiral phase transitions driven by space-time curvature effects are investigated in de Sitter space in the supersymmetric Nambu-Jona-Lasinio model with soft supersymmetry breaking. The model is considered to be suitable for the analysis of…

General Relativity and Quantum Cosmology · Physics 2009-12-30 J. Hashida , S. Mukaigawa , T. Muta , K. Ohkura , K. Yamamoto

A complete treatment of the (2,2) NSR string in flat (2+2) dimensional space-time is given, from the formal path integral over N=2 super Riemann surfaces to the computational recipe for amplitudes at any loop or gauge instanton number. We…

High Energy Physics - Theory · Physics 2009-10-30 Jan Bischoff , Olaf Lechtenfeld

Cosmic strings may have formed in the early universe due to the Kibble mechanism. While string networks are usually modeled as being of Nambu-Goto type, this description is understood to be a convenient approximation, which neglects the…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-01 A. R. R. Almeida , C. J. A. P. Martins

We present the first calculation of the bispectrum of the matter perturbations induced by cosmic strings. The calculation is performed in two different ways: the first uses the unequal time correlators (UETCs) of the string network -…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Donough Regan , Mark Hindmarsh

This paper deals with the geometry of supermassive cosmic strings. We have used an approach that enforces the spacetime of cosmic strings to also satisfy the conservation laws of a cylindric gravitational topological defect, that is a…

General Relativity and Quantum Cosmology · Physics 2009-10-28 P. F. Gonzalez-Diaz

We give a formula to compute the dimension of the generic component of the moduli space of an irreducible germ of curve in the complex plane.

Dynamical Systems · Mathematics 2019-04-17 Yohann Genzmer

We consider strings living in $AdS_3\times S^3\times S^3\times S^1$ with nonzero $B$-field. By using specific ansatz for the string embedding, we obtain a class of solutions corresponding to strings moving in the whole ten dimensional…

High Energy Physics - Theory · Physics 2017-01-12 Plamen Bozhilov