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Title: Symmetric potentials of gauged supergravities in diverse dimensions and Coulomb branch of gauge theories

Abstract

A class of conformally flat and asymptotically anti--de Sitter geometries involving profiles of scalar fields is studied from the point of view of gauged supergravity. The scalars involved in the solutions parametrize the SL(N,R)/SO(N) submanifold of the full scalar coset of the gauged supergravity, and are described by a symmetric potential with a universal form. These geometries descend via consistent truncation from distributions of D3-branes, M2-branes, or M5-branes in ten or eleven dimensions. We exhibit analogous solutions asymptotic to AdS{sub 6} which descend from the D4-D8-brane system. We obtain the related six-dimensional theory by consistent reduction from massive type IIA supergravity. All our geometries correspond to states in the Coulomb branch of the dual conformal field theories. We analyze linear fluctuations of minimally coupled scalars and find both discrete and continuous spectra, but always bounded below.

Authors:
; ; ;
Publication Date:
Sponsoring Org.:
(US)
OSTI Identifier:
40205162
Resource Type:
Journal Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 62; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.62.086003; Othernumber: PRVDAQ000062000008086003000001; 022012PRD; PBD: 15 Oct 2000; Journal ID: ISSN 0556-2821
Publisher:
The American Physical Society
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIMENSIONS; FIELD THEORIES; FLUCTUATIONS; SCALAR FIELDS; SCALARS; SPECTRA; SUPERGRAVITY

Citation Formats

Cvetic, M, Gubser, S S, Lu'', H, and Pope, C N. Symmetric potentials of gauged supergravities in diverse dimensions and Coulomb branch of gauge theories. United States: N. p., 2000. Web. doi:10.1103/PhysRevD.62.086003.
Cvetic, M, Gubser, S S, Lu'', H, & Pope, C N. Symmetric potentials of gauged supergravities in diverse dimensions and Coulomb branch of gauge theories. United States. https://doi.org/10.1103/PhysRevD.62.086003
Cvetic, M, Gubser, S S, Lu'', H, and Pope, C N. 2000. "Symmetric potentials of gauged supergravities in diverse dimensions and Coulomb branch of gauge theories". United States. https://doi.org/10.1103/PhysRevD.62.086003.
@article{osti_40205162,
title = {Symmetric potentials of gauged supergravities in diverse dimensions and Coulomb branch of gauge theories},
author = {Cvetic, M and Gubser, S S and Lu'', H and Pope, C N},
abstractNote = {A class of conformally flat and asymptotically anti--de Sitter geometries involving profiles of scalar fields is studied from the point of view of gauged supergravity. The scalars involved in the solutions parametrize the SL(N,R)/SO(N) submanifold of the full scalar coset of the gauged supergravity, and are described by a symmetric potential with a universal form. These geometries descend via consistent truncation from distributions of D3-branes, M2-branes, or M5-branes in ten or eleven dimensions. We exhibit analogous solutions asymptotic to AdS{sub 6} which descend from the D4-D8-brane system. We obtain the related six-dimensional theory by consistent reduction from massive type IIA supergravity. All our geometries correspond to states in the Coulomb branch of the dual conformal field theories. We analyze linear fluctuations of minimally coupled scalars and find both discrete and continuous spectra, but always bounded below.},
doi = {10.1103/PhysRevD.62.086003},
url = {https://www.osti.gov/biblio/40205162}, journal = {Physical Review D},
issn = {0556-2821},
number = 8,
volume = 62,
place = {United States},
year = {Sun Oct 15 00:00:00 EDT 2000},
month = {Sun Oct 15 00:00:00 EDT 2000}
}