Pauli reductions of supergravities in six and five dimensions

Journal Article · Mon Aug 13 00:00:00 EDT 2018 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.98.046010· OSTI ID:1464304

Azizi, Arash; Pope, C. N.

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.

• Research Organization: Texas A & M Univ., College Station, TX (United States)
• Sponsoring Organization: USDOE
• Grant/Contract Number: FG02-13ER42020; SC0010813; sc0010813
• OSTI ID: 1464304
• Alternate ID(s): OSTI ID: 1498830
• Journal Information: Physical Review. D., Journal Name: Physical Review. D. Vol. 98 Journal Issue: 4; ISSN 2470-0010
• Publisher: American Physical Society
• Country of Publication: United States
• Language: English

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