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Title: Pauli reductions of supergravities in six and five dimensions

Abstract

The dimensional reduction of a generic theory on a curved internal space such as a sphere does not admit a consistent truncation to a finite set of fields that includes the Yang-Mills gauge bosons of the isometry group. In rare cases, e.g., the S 7 reduction of 11-dimensional supergravity, such a consistent “Pauli reduction” does exist. In this paper, we study this existence question in two examples of S 2 reductions of supergravities. We do this by making use of a relation between certain S 2 reductions and group manifold S 3 = S U ( 2 ) reductions of a theory in one dimension higher. By this means, we establish the nonexistence of a consistent S 2 Pauli reduction of five-dimensional minimal supergravity. We also show that a previously discovered consistent Pauli reduction of six-dimensional Salam-Sezgin supergravity can be elegantly understood via a group-manifold reduction from seven dimensions.

Authors:
 [1];  [2]
  1. Texas A & M Univ., College Station, TX (United States)
  2. Texas A & M Univ., College Station, TX (United States); Univ. of Cambridge (United Kingdom)
Publication Date:
Research Org.:
Texas A & M Univ., College Station, TX (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1464304
Alternate Identifier(s):
OSTI ID: 1498830
Grant/Contract Number:  
sc0010813; FG02-13ER42020
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 98; Journal Issue: 4; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Azizi, Arash, and Pope, C. N. Pauli reductions of supergravities in six and five dimensions. United States: N. p., 2018. Web. doi:10.1103/physrevd.98.046010.
Azizi, Arash, & Pope, C. N. Pauli reductions of supergravities in six and five dimensions. United States. doi:10.1103/physrevd.98.046010.
Azizi, Arash, and Pope, C. N. Mon . "Pauli reductions of supergravities in six and five dimensions". United States. doi:10.1103/physrevd.98.046010.
@article{osti_1464304,
title = {Pauli reductions of supergravities in six and five dimensions},
author = {Azizi, Arash and Pope, C. N.},
abstractNote = {The dimensional reduction of a generic theory on a curved internal space such as a sphere does not admit a consistent truncation to a finite set of fields that includes the Yang-Mills gauge bosons of the isometry group. In rare cases, e.g., the S7 reduction of 11-dimensional supergravity, such a consistent “Pauli reduction” does exist. In this paper, we study this existence question in two examples of S2 reductions of supergravities. We do this by making use of a relation between certain S2 reductions and group manifold S3 = S U ( 2 ) reductions of a theory in one dimension higher. By this means, we establish the nonexistence of a consistent S2 Pauli reduction of five-dimensional minimal supergravity. We also show that a previously discovered consistent Pauli reduction of six-dimensional Salam-Sezgin supergravity can be elegantly understood via a group-manifold reduction from seven dimensions.},
doi = {10.1103/physrevd.98.046010},
journal = {Physical Review D},
number = 4,
volume = 98,
place = {United States},
year = {2018},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/physrevd.98.046010

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Works referenced in this record:

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