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We calculate the potential between bound states of D-branes of different dimension in IIB matrix model upto one loop order and find nice agreement with the open string calculations in short and large distance limit. We also consider the…

High Energy Physics - Theory · Physics 2009-10-30 Bhabani Prasad Mandal , Subir Mukhopadhyay

A classical model of gravity theory with several dilatonic scalar fields and differential forms admitting an interpretation in terms of intersecting p-branes is studied in (pseudo)-Riemannian space-time $M =R_+\times S^{d_0}\times R_t\times…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Cotsakis , V. R. Gavrilov , V. N. Melnikov

Singular complex analytic vector fields on the Riemann surfaces enjoy several geometric properties (singular means that poles and essential singularities are admissible). We describe relations between singular complex analytic vector fields…

Dynamical Systems · Mathematics 2022-06-14 Gaspar León-Gil , Jesús Muciño-Raymundo

Based on the quaternionic approach developed by one of us [Z.D. Zhang, Phil. Mag. 87 (2007) 5309.] for the three-dimensional (3D) Ising model, we study in this work conformal invariance in three dimensions. We develop a procedure for…

Statistical Mechanics · Physics 2012-12-06 Zhidong Zhang , Norman H. March

We analyze the dynamics of intersecting D3/D3' brane system overlapping in 1+1 dimensions, in a holographic treatment where $N$ D3-branes are manifested as anti-de-Sitter Schwartzschild geometry, and the D3'-brane is treated as a probe. We…

High Energy Physics - Theory · Physics 2017-02-22 William Cottrell , James Hanson , Akikazu Hashimoto , Andrew Loveridge , Duncan Pettengill

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 study the constraints of crossing symmetry and unitarity in general 3D Conformal Field Theories. In doing so we derive new results for conformal blocks appearing in four-point functions of scalars and present an efficient method for…

High Energy Physics - Theory · Physics 2014-12-05 Sheer El-Showk , Miguel F. Paulos , David Poland , Slava Rychkov , David Simmons-Duffin , Alessandro Vichi

In this article the interaction of branes at angles with respect to each other with non-zero internal gauge fields are calculated by construction of the boundary states in spacetime in which some of its directions are compact on tori. The…

High Energy Physics - Theory · Physics 2007-05-23 Davoud Kamani

In this paper the numerical solution of potential problems defined on 3D unbounded domains is addressed with Boundary Element Methods (BEMs), since in this way the problem is studied only on the boundary, and thus any finite approximation…

Numerical Analysis · Mathematics 2022-05-06 Antonella Falini , Carlotta Giannelli , Tadej Kanduc , Maria Lucia Sampoli , Alessandra Sestini

The study of conformal boundary conditions for two-dimensional conformal field theories (CFTs) has a long history, ranging from the description of impurities in one-dimensional quantum chains to the formulation of D-branes in string theory.…

High Energy Physics - Theory · Physics 2021-12-08 Scott Collier , Dalimil Mazac , Yifan Wang

Using the H3+-Liouville relation, I explicitly compute the boundary three-point function on AdS2 D-branes in H3+, and check that it exhibits the expected symmetry properties and has the correct geometrical limit. I then find a simple…

High Energy Physics - Theory · Physics 2009-11-18 Sylvain Ribault

We study 2d and 3d gravity theories on spacetimes with causal (timelike or null) codimension one boundaries while allowing for variations in the position of the boundary. We construct the corresponding solution phase space and specify…

High Energy Physics - Theory · Physics 2022-06-15 H. Adami , Pujian Mao , M. M. Sheikh-Jabbari , V. Taghiloo , H. Yavartanoo

We consider the type I theory compactified on $T^3$. When the D5-brane wraps the $T^3$ it yields a D2-brane in seven dimensions. In the leading approximation the moduli space of vacua of the three dimensional field theory on the brane is…

High Energy Physics - Theory · Physics 2009-09-15 Nathan Seiberg

We consider the dynamics of an electrostatically actuated thin elastic plate being clamped at its boundary above a rigid plate. The model includes the harmonic electrostatic potential in the three-dimensional time-varying region between the…

Analysis of PDEs · Mathematics 2015-06-02 Philippe Laurencot , Christoph Walker

This work introduces a contact interaction methodology for an unbiased treatment of contacting surfaces without assigning surfaces as master and slave. The contact tractions between interacting discrete segments are evaluated with respect…

Graphics · Computer Science 2025-06-06 Indrajeet Sahu , Nik Petrinic

The problem of $N$ particles interacting through pairwise central forces is notoriously intractable for $N\geq3$. Some quite remarkable specific cases have been solved in one dimension, whereas higher-dimensional exactly solved systems…

Mathematical Physics · Physics 2014-10-24 A. Botero , F. Leyvraz

In this paper we construct path integral representations of the boundary states in some special backgrounds such as the U(1) gauge field background, the linear dilaton background and the open string tachyon background. The initial purpose…

High Energy Physics - Theory · Physics 2009-10-31 Yong Zhang

We study Randall-Sundrum two brane setups with mismatched brane tensions. For the vacuum solutions, boundary conditions demand that the induced metric on each of the branes is either de Sitter, Anti-de Sitter, or Minkowski. For incompatible…

High Energy Physics - Theory · Physics 2020-10-28 Andreas Karch , Lisa Randall

We obtain an exact solution of the supergravity equations of motion in which the four-dimensional observed universe is one of a number of colliding D3-branes in a Calabi-Yau background. The collision results in the ten-dimensional spacetime…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , H. Lu , C. N. Pope

Integrable boundary conditions in 1+1 and 2+1 dimensions are discussed from the higher symmetries point of view. Boundary conditions consistent with the discrete Landau-Lifshitz model and infinite 2D Toda lattice are represented.

solv-int · Physics 2007-05-23 I. T. Habibullin , A. N. Vil'danov