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We discuss how gerbes may be used to set up a consistent Lagrangian approach to the WZW models with boundary. The approach permits to study in detail possible boundary conditions that restrict the values of the fields on the worldsheet…

High Energy Physics - Theory · Physics 2009-11-10 Krzysztof Gawedzki

The recently established threshold theorem for energy critical wave maps states that wave maps with energy less than that of the ground state (i.e., a minimal energy nontrivial harmonic map) are globally regular and scatter on…

Analysis of PDEs · Mathematics 2016-01-20 Andrew Lawrie , Sung-Jin Oh

The algebraic definition of charges for symmetry-preserving D-branes in Wess-Zumino-Witten models is shown to coincide with the geometric definition, for all simple Lie groups. The charge group for such branes is computed from the…

High Energy Physics - Theory · Physics 2009-11-10 Peter Bouwknegt , David Ridout

In this paper, we develop the mathematical formulation of metric string structures. These play a crucial role in the formulation of certain six-dimensional superconformal field theories and we believe that they also underlie potential…

High Energy Physics - Theory · Physics 2020-08-11 Christian Saemann , Lennart Schmidt

We derive the Penrose data for half-flat pp-waves and extend his original construction for the Weyl spinor of plane waves in terms of this data.

General Relativity and Quantum Cosmology · Physics 2024-06-19 Peter C. Aichelburg , Herbert Balasin

This paper concerns the \textbf{abstract geometry of numbers}: namely the pursuit of certain aspects of geometry of numbers over a suitable class of normed domains. (The standard geometry of numbers is then viewed as geometry of numbers…

Number Theory · Mathematics 2014-05-12 Pete L. Clark

We study a class of time dependent solutions of the vacuum Einstein equations which are plane waves with weak null singularities. This singularity is weak in the sense that though the tidal forces diverge at the singularity, the rate of…

High Energy Physics - Theory · Physics 2009-11-10 Justin R. David

We investigate space-time supersymmetry in the WZW-like open superstring field theory, whose complete action was recently constructed. Starting from a natural space-time supersymmetry transformation at the linearized level, we construct a…

High Energy Physics - Theory · Physics 2019-12-06 Hiroshi Kunitomo

T-duality and its generalizations are widely recognized either as symmetries or solution-generating techniques in string theory. Recently introduced Jacobi-Lie T-plurality is based on Leibniz algebras whose structure constants ${f_{ab}}^c,…

High Energy Physics - Theory · Physics 2025-03-19 Ivo Petr , Ladislav Hlavatý

In this paper we re-examine the geometric interpretation of gluing conditions in WZW models and the possible D-brane configurations that they give rise to. We show how the boundary conditions are encoded in the gluing conditions imposed on…

High Energy Physics - Theory · Physics 2009-10-31 S Stanciu

We reconsider the role that bundle gerbes play in the formulation of the WZW model on closed and open surfaces. In particular, we show how an analysis of bundle gerbes on groups covered by SU(N) permits to determine the spectrum of…

High Energy Physics - Theory · Physics 2009-11-07 Krzysztof Gawedzki , Nuno Reis

We study a generalization of energy super-critical wave maps due to Adkins and Nappi that can also be viewed as a simplified version of the Skyrme model. These are maps from 1+3 dimensional Minkowski space that take values in the 3-sphere,…

Analysis of PDEs · Mathematics 2013-11-21 Andrew Lawrie

This is the second paper of a series of three. We construct effective open-closed superstring couplings by classically integrating out massive fields from open superstring field theories coupled to an elementary gauge invariant tadpole…

High Energy Physics - Theory · Physics 2021-09-29 Carlo Maccaferri , Jakub Vošmera

We present a systematic methodology for the reformulation of a broad class of three-dimensional (3D) piezoelectric problems into a two-dimensional (2D) mathematical form. The sole underlying hypothesis is that the system geometry and…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 H. T. Mengistu , A. García-Cristóbal

We present new exact three-dimensional black-string backgrounds, which contain both NS--NS and electromagnetic fields, and generalize the BTZ black holes and the black string studied by Horne and Horowitz. They are obtained as deformations…

High Energy Physics - Theory · Physics 2009-11-11 Stephane Detournay , Domenico Orlando , P. Marios Petropoulos , Philippe Spindel

In this thesis we initiate a systematic study of branes in Wess-Zumino-Novikov-Witten models with Lie supergroup target space. We start by showing that a branes' worldvolume is a twisted superconjugacy class and construct the action of the…

High Energy Physics - Theory · Physics 2009-08-14 Thomas Creutzig

We study the Penrose limit of the (p,q) fivebranes supergravity background. We consider the different phases of the worldvolume field theory and their weakly coupled descriptions. In the Penrose limit we get a solvable string theory and…

High Energy Physics - Theory · Physics 2009-09-29 Yaron Oz , Tadakatsu Sakai

The collision of plane waves corresponding to massless states of closed string is considered in $D$-dimensional space-time. The reduced tree level effective action is known to be manifestly $O(d,d)$ invariant, $d$ being the number of…

High Energy Physics - Theory · Physics 2009-11-07 Ashok Das , J. Maharana , A. Melikyan

We construct $N=2$ super-$W_{n+1}$ strings and obtain the complete physical spectrum, for arbitrary $n \ge 2$. We also derive more general realisations of the super-$W_{n+1}$ algebras in terms of $k$ commuting $N=2$ super energy-momentum…

High Energy Physics - Theory · Physics 2009-10-07 H. Lu , C. N. Pope , X. J. Wang , K. W. Xu

String theory dynamics on certain fivebrane supertube backgrounds is described by an exactly solvable null-gauged WZW model. We use this description to compute the spectrum of closed string excitations on the three-charge non-supersymmetric…

High Energy Physics - Theory · Physics 2022-03-11 Emil J. Martinec , Stefano Massai , David Turton
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