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Brane resolution and gravitational Chern–Simons terms

Francisco A Brito1, Mirjam Cvetic1,2 and Asad Naqvi1

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We show that gravitational Chern–Simons corrections, associated with the σ-model anomaly on the M5-brane worldvolume, can resolve the M2-brane solution with Ricci-flat, special holonomy transverse space. We explicitly find smooth solutions in the cases when the transverse space is a manifold of Spin(7) holonomy and SU(4) holonomy. We comment on the consequences of these results for the holographically related three-dimensional theories living on the worldvolume of a stack of such resolved M2 branes.


PACS

11.10.Lm Nonlinear or nonlocal theories and models

04.65.+e Supergravity

11.15.-q Gauge field theories

11.25.-w Strings and branes

MSC

83C47 Methods of quantum field theory (See also 81T20)

83E50 Supergravity

81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)

81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 2 (21 January 2003)

Received 18 October 2002

Published 20 December 2002



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