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Closed string dynamics in the presence of noncommutative Dp-branes is investigated. In particular, we compute bulk closed string two-point scattering amplitudes; the bulk space-time geometries encoded in the amplitudes are shown to be…

High Energy Physics - Theory · Physics 2008-11-26 Seungjoon Hyun , Youngjai Kiem , Sangmin Lee , Chang-Yeong Lee

We show how the classical string dynamics in $D$-dimensional curved background can be reduced to the dynamics of a massless particle constrained on a certain surface whenever there exists at least one Killing vector for the background…

High Energy Physics - Theory · Physics 2007-05-23 P. Bozhilov

In this article we introduce a class of discontinuous almost automorphic functions which appears naturally in the study of almost automorphic solutions of differential equations with piecewise constant argument. Their fundamental properties…

Classical Analysis and ODEs · Mathematics 2013-06-06 A. Chavez , S. Castillo , M. Pinto

We apply a physical principle, previously used to eliminate ambiguities in quantum corrections to the 2 dimensional kink, to the case of spinning strings moving in $AdS_4\times \mathbb{CP}^3$, thought of as another kind of two dimensional…

High Energy Physics - Theory · Physics 2015-06-04 Cristhiam Lopez-Arcos , Horatiu Nastase

A high fidelity model is developed for an elastic string pendulum, one end of which is attached to a rigid body while the other end is attached to an inertially fixed reel mechanism which allows the unstretched length of the string to be…

Dynamical Systems · Mathematics 2009-09-14 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

We review basic examples of classical string solutions in AdS5xS5. We concentrate on simplest rigid closed string solutions of circular or folded type described by integrable 1-d Neumann system but mention also various generalizations and…

High Energy Physics - Theory · Physics 2015-03-17 A. A. Tseytlin

We demonstrate the turbulent dynamics of the Nambu-Goto open string in the AdS3 spacetime. While the motion of a classical closed string in AdS is known to be integrable, the integrability of an open string motion depends on the boundary…

High Energy Physics - Theory · Physics 2024-02-23 Takaaki Ishii , Ryo Kitaku , Keiju Murata , Chul-Moon Yoo

In this introductory review we discuss dynamical tests of the AdS_5 x S^5 string/N=4 super Yang-Mills duality. After a brief introduction to AdS/CFT we argue that semiclassical string energies yield information on the quantum spectrum of…

High Energy Physics - Theory · Physics 2015-06-26 Jan Plefka

We derive a compact formula for the one-loop, bosonic string partition function of Euclideanized $J_3 \bar J_3$ deformed $AdS_3$ with periodic Euclidean time as an integral transform of the partition function of the undeformed Euclideanized…

High Energy Physics - Theory · Physics 2024-04-10 Soumangsu Chakraborty , Amit Giveon , Akikazu Hashimoto

We revisit the path integral formulation of bosonic string theory in locally-AdS$_3$ spacetimes. Through a careful analysis of the worldsheet sigma model, we write down an effective theory of long strings living near the boundary of…

High Energy Physics - Theory · Physics 2024-10-23 Bob Knighton

We study supersymmetric open strings in type IIB $AdS_3 \times S^3 \times S^3 \times S^1$ with mixed R-R and NS-NS fields. We focus on strings ending along a straight line at the boundary of $AdS_3$, which can be interpreted as line…

High Energy Physics - Theory · Physics 2021-11-11 Diego H. Correa , Victor I. Giraldo-Rivera , Martín Lagares

We review certain results for amplitudes of spectral flowed operators in string theory on AdS_3. We present the modified Knizhnik-Zamolodchikov and null vector equations to be satisfied by correlators including w=1 operators. We then…

High Energy Physics - Theory · Physics 2008-12-18 Pablo Minces

We study D-branes in the extended geometry appearing in exceptional field theory (or exceptional generalised geometry). Starting from the exceptional sigma model (an $E_{d(d)}$ covariant worldsheet action with extra target space…

High Energy Physics - Theory · Physics 2019-08-02 Chris D. A. Blair

We study integrable deformations of AdS/CFT by focusing upon three kinds of warped AdS_3 geometries, 1) space-like warped AdS_3, 2) time-like warped AdS_3 and 3) null warped AdS_3. These geometries are embedded into type IIB supergravity…

High Energy Physics - Theory · Physics 2015-06-15 Takashi Kameyama , Kentaroh Yoshida

We study elliptic genera of ADE-type M-strings in 6d (2,0) SCFTs from their modularity and explore the relation to topological string partition functions. We find a novel kinematical constraint that elliptic genera should follow, which…

High Energy Physics - Theory · Physics 2021-02-24 Zhihao Duan , June Nahmgoong

We study the semiclassical spectrum of bosonic string theory on AdS_3 x S^1 in the limit of large AdS angular momentum. At leading semiclassical order, this is a subsector of the IIB superstring on AdS_5 x S^5. The theory includes strings…

High Energy Physics - Theory · Physics 2008-12-19 Nick Dorey

We study superstrings on AdS_3 x S^3 x T^4 supported by a combination of Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz three form fluxes, and construct a set of finite-gap equations that describe the classical string spectrum. Using the…

High Energy Physics - Theory · Physics 2015-06-19 Andrei Babichenko , Amit Dekel , Olof Ohlsson Sax

We derive a metric-like Lagrangian and equations of motion, in AdS space, for multiplets of fermionic fields with spin ranged from 1/2 to s, from their frame-like formulation.

High Energy Physics - Theory · Physics 2017-07-13 Alessandro Agugliaro , Francesco Azzurli , Dmitri Sorokin

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

The algebraic curve (finite-gap) classification of rotating string solutions was very important in the development of integrability through comparison with analogous structures at weak coupling. The classification was based on the analysis…

High Energy Physics - Theory · Physics 2015-06-04 Romuald A. Janik , Pawel Laskos-Grabowski