A note on the Supergravity Description of Dielectric Branes

Abstract

We comment on the recent papers by Costa et al and Emparan, which show how one might generate supergravity solutions describing certain dielectric branes in ten dimensions. The ``basic'' such solutions describe either N fundamental strings or N D4-branes expanding into a D6-brane, with topology M^2 x S^5 or M^5 x S^2 respectively. Treating these solutions in a unified way, we note that they allow for precisely two values of the radius of the relevant sphere, and that the solution with the smaller value of the radius has the lower energy. Moreover, the possible radii in both cases agree up to numerical factors with the corresponding solutions of the D6-brane worldvolume theory. We thus argue that these supergravity solutions are the correct gravitational description of the dielectric branes of Emparan and Myers.

v1: 15 pages, 6 figures, LaTeX. v2: 18 pages, 7 figures, LaTeX, including a discussion of stability issues and a brief analysis of certain smeared supergravity solutions

References in corpus (6)

• Fluxbranes in String Theory
• The Kaluza-Klein Melvin Solution in M-theory
• The Melvin Universe in Born-Infeld Theory and other Theories of Non-Linear Electrodynamics
• Gravitating Fluxbranes
• Fluxbranes from p-branes
• Kaluza-Klein Branes

Cited by in corpus (24)

• A harmonic family of dielectric flow solutions with maximal supersymmetry
• D-branes in String theory Melvin backgrounds
• On the Dielectric Effect for Gravitational Waves
• Composite fluxbranes with general intersections
• Quotients of AdS_{p+1} x S^q: causally well-behaved spaces and black holes
• Supergravity Fluxbranes in Various Dimensions
• Dielectric Fundamental Strings in Matrix String Theory
• Melvin Background in Heterotic Theories
• Charged Tachyons and Gauge Symmetry Breaking
• Near-Extremal Black Branes with n*3 Entropy Growth
• The polarization of F1 strings into D2 branes: "Aut Caesar aut nihil"
• Exact N=2 Supergravity Solutions With Polarized Branes
• Orientifolds of String Theory Melvin backgrounds
• On flux integrals for generalized Melvin solution related to simple finite-dimensional Lie algebra
• On generalized Melvin solution for the Lie algebra $E_6$
• Supersymmetric Kaluza-Klein reductions of M2 and M5-branes
• Non-Abelian Giant Gravitons
• Supersymmetric Kaluza-Klein reductions of AdS backgrounds
• Decay Modes of Intersecting Fluxbranes
• F0 fluxbranes, F-walls and new brane worlds
• Fluxbrane polynomials and Melvin-like solutions for simple Lie algebras
• Probes in fluxbranes and supersymmetry breaking through Hodge-duality
• Charging a Double Kerr Solution in 5D Einstein--Maxwell--Kalb--Ramond Theory
• Nucleation of p-branes with form fields and dielectric brane