Type IIB supergravity action on M5 x X5 solutions
File(s)
Published version
Author(s)
Kurlyand, SA
Tseytlin, AA
Type
Journal Article
Abstract
While the ten-dimensional type IIB supergravity action evaluated on AdS5×𝑆5 solution vanishes, the five-dimensional effective action reconstructed from equations of motion using the 𝑀5 ×𝑆5 compactification ansatz is proportional to the AdS5 volume. The latter is consistent with the conformal anomaly interpretation in AdS/CFT context. We show that this paradox can be resolved if, in the case of 𝑀5 ×𝑋5 topology, the ten-dimensional action contains an additional 5-form-dependent “topological” term ∫𝐹5𝑀 ∧𝐹5𝑋. The presence of this term is suggested also by gauge-invariance considerations in the Pasti-Sorokin-Tonin formulation of type IIB supergravity action. We show that this term contributes to the ten-dimensional action evaluated on the D3-brane solution.
Date Issued
2022-10-15
Date Acceptance
2022-10-05
Citation
Physical Review D: Particles, Fields, Gravitation and Cosmology, 2022, 106 (8)
ISSN
1550-2368
Publisher
American Physical Society
Journal / Book Title
Physical Review D: Particles, Fields, Gravitation and Cosmology
Volume
106
Issue
8
Copyright Statement
© 2022 The Author(s) Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
License URL
Identifier
http://arxiv.org/abs/2206.14522v3
Subjects
2-DIMENSIONAL SIGMA-MODEL
Astronomy & Astrophysics
BLACK-HOLES
CONSTANT
DYNAMICS
EQUATIONS
GAUGED SUPERGRAVITY
N=2
Physical Sciences
Physics
Physics, Particles & Fields
Science & Technology
SPECTRUM
SUPER YANG-MILLS
THERMODYNAMICS
Publication Status
Published
Article Number
ARTN 086017
Date Publish Online
2022-10-26