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Starting from three-dimensional nonlinear elasticity under the restriction of incompressibility, we derive reduced models to capture the behavior of strings in response to external forces. Our $\Gamma$-convergence analysis of the…

Analysis of PDEs · Mathematics 2023-06-22 Dominik Engl , Carolin Kreisbeck

In this paper we analyze discrete torsion in perturbative heterotic string theory. In previous work we have given a purely mathematical explanation of discrete torsion as the choice of orbifold group action on a B field, in the case that d…

High Energy Physics - Theory · Physics 2009-10-31 Eric R. Sharpe

We consider the dynamics of confined strings embedded in a gapless four-dimensional theory. To this end, we examine finite-tension string-like solutions to the equations of motion of the $\mathbb{C}\mathbb{P}^1$ non-linear sigma model. We…

High Energy Physics - Theory · Physics 2026-02-23 Jeremias Aguilera Damia , Giovanni Galati , Giovanni Rizi

We obtain systematic approximations for the modes of vibration of a string of variable density, which is held fixed at its ends. These approximations are obtained iteratively applying three theorems which are proved in the paper and which…

Mathematical Physics · Physics 2015-05-19 Paolo Amore

We revisit the description of the Pomeron within the effective string theory of QCD. Using a string duality relation, we show how the static potential maps onto the high-energy scattering amplitude that exhibits the Pomeron behavior.…

High Energy Physics - Phenomenology · Physics 2018-01-24 Dmitri Kharzeev , Edward Shuryak , Ismail Zahed

We investigate numerically the configurational statistics of strings. The algorithm models an ensemble of global $U(1)$ cosmic strings, or equivalently vortices in superfluid $^4$He. We use a new method which avoids the specification of…

High Energy Physics - Theory · Physics 2009-10-28 M. Hindmarsh , K. Strobl

String geometry theory is one of the candidates of the non-perturbative formulation of string theory. In arXiv:1709.03506, the perturbative string theory is reproduced from a string geometry model coupled with a $u(1)$ gauge field on string…

High Energy Physics - Theory · Physics 2020-10-16 Matsuo Sato , Yuji Sugimoto

We consider a d-dimensional spherically symmetric dilatonic R^2 string corrected black hole solution. We study its stability under tensor type gravitational perturbations and compute the absorption cross section for low frequency…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Filipe Moura

I begin these three lectures by describing some of the useful things that we have learned about large-N gauge theories using lattice simulations. For example that the theory is confining in that limit, that for many quantities SU(3) is…

High Energy Physics - Lattice · Physics 2013-06-11 Michael Teper

We analyse boundary conformal field theories on random surfaces using the conformal gauge approach of David, Distler and Kawai. The crucial point is the choice of boundary conditions on the Liouville field. We discuss the Weyl anomaly…

High Energy Physics - Theory · Physics 2009-10-30 Paul Mansfield , Rui Neves

We study oscillating string solutions in the Klebanov-Witten and its non-Abelian T-dual background dualised along an SU(2) isometry. We find the string energy as the function of oscillation number and angular momentum. We show that for a…

High Energy Physics - Theory · Physics 2015-08-27 Pabitra M. Pradhan

We derive a generalized equation for the evolution of tensor perturbations in a cosmological background, taking into account higher-curvature contributions and a tree-level coupling to the dilaton in the string frame. The equation is…

General Relativity and Quantum Cosmology · Physics 2009-10-30 M. Gasperini

We study various properties of closed relativistic strings. In particular, we characterize their closure under uniform convergence, extending a previous result by Y. Brenier on graph-like unbounded strings, and we discuss some related…

Mathematical Physics · Physics 2010-01-31 G. Bellettini , J. Hoppe , M. Novaga , G. Orlandi

We study the scattering of long strings in c = 1 string theory, both in the worldsheet description and in the non-singlet sector of the dual matrix quantum mechanics. From the worldsheet perspective, the scattering amplitudes of long…

High Energy Physics - Theory · Physics 2019-02-20 Bruno Balthazar , Victor A. Rodriguez , Xi Yin

We study Cerenkov radiation from moving straight strings which glisse with respect to each other in such a way that the projected intersection point moves faster than light. To calculate this effect we develop classical perturbation theory…

High Energy Physics - Theory · Physics 2008-11-26 D. V. Gal'tsov , E. Yu. Melkumova , K. Salehi

Confining strings in 4D are effective, thick strings describing the confinement phase of compact U(1) and, possibly, also non-Abelian gauge fields. We show that these strings are dual to the gauge fields, inasmuch as their perturbative…

High Energy Physics - Theory · Physics 2009-10-31 M. Cristina Diamantini , Carlo A. Trugenberger

It is expected that when the string coupling is taken to be sufficiently small, a black hole turns into a bound state of self-gravitating fundamental strings. This state would be described by winding strings wrapping around the Euclidean…

High Energy Physics - Theory · Physics 2025-06-23 Akihiro Ishibashi , Yoshinori Matsuo , Akane Tanaka

The Batalin-Vilkovisky data for Polyakov string theory on a manifold with (non-null) boundary is shown to induce compatible Batalin--Fradkin--Vilkovisky data, thus allowing BV-quantisation on manifolds with boundary. On the other hand, the…

Mathematical Physics · Physics 2022-04-05 S. Martinoli , M. Schiavina

We present a statistical analysis of the behavior of the kinetic energy spectrum in the dissipative range of scales of fully developed three-dimensional turbulence. We analyze spectra recorded in experiments of grid turbulence generated in…

Within a recently developed framework of dynamical Monte Carlo algorithms, we compute the roughness exponent $\zeta$ of driven elastic strings at the depinning threshold in 1+1 dimensions for different functional forms of the (short-range)…

Disordered Systems and Neural Networks · Physics 2009-11-07 Alberto Rosso , Werner Krauth
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