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In this paper we begin the study of set-theoretic type solution of the braid equation. Our theory includes set-theoretical solutions as basic examples. We show that the relationships between set-theoretical solutions, q-cycle sets,…

Rings and Algebras · Mathematics 2024-11-01 Jorge A. Guccione , Juan J. Guccione , Christian Valqui

We consider theories containing gravity, at most one dilaton and form field strengths. We show that the existence of particular BPS solutions of intersecting extremal closed branes select the theories, which upon dimensional reduction to…

High Energy Physics - Theory · Physics 2009-11-10 Francois Englert , Laurent Houart , Peter West

We consider the effective action of M-theory compactified on a S^1/Z_2 orbifold with R^2 interaction in the Gauss-Bonnet combination. We derive equations of motion with source terms arising from the Gauss-Bonnet terms and find the M2-brane…

High Energy Physics - Theory · Physics 2009-10-31 Ken Kashima

We search for integrable boundary conditions and their geometric interpretation as $D$-branes, in models constructed as generalized $\lambda$-deformations of products of group- and coset-spaces. Using the sigma-model approach, we find that…

High Energy Physics - Theory · Physics 2022-06-22 Georgios P. D. Pappas

We analyze the polynomial solutions of a nonlinear integral equation, generalizing the work of C. Bender and E. Ben-Naim. We show that, in some cases, an orthogonal solution exists and we give its general form in terms of kernel…

Classical Analysis and ODEs · Mathematics 2015-05-13 Diego Dominici

We describe a simple method for generating new string solutions for which the brane worldvolume is a curved space. As a starting point we use solutions with NS-NS charges combined with 2-d CFT's representing different parts of space-time.…

High Energy Physics - Theory · Physics 2009-09-17 G. Papadopoulos , J. Russo , A. A. Tseytlin

We obtain singularity resolutions for various overlapping brane configurations, including those of two heterotic 5-branes, type II 5-branes or D4-branes. In these solutions, the ``harmonic'' function H for each brane component depends only…

High Energy Physics - Theory · Physics 2009-11-07 H. Lu , J. F. Vazquez-Poritz

The U(1) gauge theory on a D3-brane with non-commutative worldvolume is shown to admit BIon-like solutions which saturate a BPS bound on the energy. The mapping of these solutions to ordinary fields is found exactly, namely…

High Energy Physics - Theory · Physics 2009-10-31 David Mateos

In this paper we find D-brane descriptions of some of new open string solutions that were found in 0804.3438[hep-th]. These D5-brane and D3-brane configurations give gravitational dual descriptions of Wilson loops in some particular…

High Energy Physics - Theory · Physics 2008-11-26 J. Kluson

Closed form expressions are given for computing the parameters and vectors that identify and define the $n-1$ dimensional conic section that results from the intersection of a hyperplane with an $n$-dimensional conic section: cone,…

General Mathematics · Mathematics 2020-01-15 P. M. Dearing

We find explicit formulas for the Hilbert series of residual intersections of a scheme in terms of the Hilbert series of its conormal modules. In a previous paper we proved that such formulas should exist. We give applications to the…

Commutative Algebra · Mathematics 2015-09-30 Marc Chardin , David Eisenbud , Bernd Ulrich

In this paper we generalize electric S-brane solutions with maximal number of branes. Previously for the action containing D-dimensional gravity, a scalar field and antisymmetric (p+2)-form we found composite, electric S-brane solutions…

High Energy Physics - Theory · Physics 2008-11-26 V. D. Ivashchuk , V. N. Melnikov , D. Singleton

The s-wave contact interaction problem has a very simple structure and a simple and straightforward description. This is not a standard paper, and technicalities are avoided. A bare and simple picture of the problem is presented, in the…

Statistical Mechanics · Physics 2007-05-23 Shina Tan

A classification of D-branes in Type IIB Op^- orientifolds and orbifolds in terms of Real and equivariant KK-groups is given. We classify D-branes intersecting orientifold planes from which are recovered some special limits as the spectrum…

High Energy Physics - Theory · Physics 2009-01-06 H. Garcia-Compean , W. Herrera-Suarez , B. A. Itza-Ortiz , O. Loaiza-Brito

After reviewing the general structure of supersymmetric intersecting brane world models, we discuss the issue of stringy gauge coupling unification for a natural class of MSSM-like models.

High Energy Physics - Theory · Physics 2007-05-23 Ralph Blumenhagen

We describe the qualitative properties of p-brane solutions of supergravity theories and present two examples of p-brane solutions, first the dyonic membrane solutions of N=2 D=8 supergravity and second the intersecting M-brane solutions of…

High Energy Physics - Theory · Physics 2009-10-30 G. Papadopoulos

We review various three-dimensional solutions in the low-energy description of M-theory on $S^1/Z_2 \times T_7$. These solutions have an eleven dimensional interpretation in terms of intersecting M-branes.

High Energy Physics - Theory · Physics 2007-05-23 Gabriel Lopes Cardoso

From the requirement of continuous matching of bulk metric around the point of brane collision we derive a conservation law for collisions of p-branes in (p+2)-dimensional space-time. This conservation law relates energy densities on the…

High Energy Physics - Theory · Physics 2010-02-03 Andrey Neronov

We show that configurations of multiple D-branes related by SU(N) rotations will preserve unbroken supersymmetry. This includes cases in which two D-branes are related by a rotation of arbitrarily small angle, and we discuss some of the…

High Energy Physics - Theory · Physics 2011-05-05 Micha Berkooz , Michael R. Douglas , Robert G. Leigh

A new class of six-dimensional asymmetric orientifolds is considered where the orientifold operation is combined with T-duality. The models are supersymmetric in the bulk, but the cancellation of the tadpoles requires the introduction of…

High Energy Physics - Theory · Physics 2014-11-18 Carlo Angelantonj , Ralph Blumenhagen , Matthias R. Gaberdiel