Conformal anomaly c-coefficients of superconformal 6d theories
File(s)
Published version
Author(s)
Beccaria, M
Tseytlin, AA
Type
Journal Article
Abstract
We propose general relations between the conformal anomaly and the chiral (R-symmetry and gravitational) anomaly coefficients in 6d (1, 0) superconformal theories. The suggested expressions for the three type B conformal anomaly ci-coefficients complement the expression for the type A anomaly a-coefficient found in arXiv:1506.03807. We check them on several examples — the standard (1, 0) hyper and tensor multiplets as well as some higher derivative short multiplets containing vector fields that generalize the super-conformal 6d vector multiplet discussed in arXiv:1506.08727. We also consider a family of higher derivative superconformal (2, 0) 6d multiplets associated to 7d multiplets in the KK spectrum of 11d supergravity compactified on S4. In particular, we prove that (2,0) 6d conformal supergravity coupled to 26 tensor multiplets is free of all chiral and conformal anomalies. We discuss some interacting (1, 0) superconformal theories, predicting the ci-coefficients for the “E-string” theory on multiple M5-branes at E8 9-brane and for the theory describing M5-branes at an orbifold singularity C2/ΓC2/Γ . Finally, we elaborate on holographic computation of subleading corrections to conformal anomaly coefficients coming from R2 + R3 terms in 7d effective action, revisiting, in particular, the (2,0) theory case.
Date Issued
2016-01-04
Date Acceptance
2015-12-16
Citation
Journal of High Energy Physics, 2016, 2016 (1)
ISSN
1126-6708
Publisher
Springer Verlag
Journal / Book Title
Journal of High Energy Physics
Volume
2016
Issue
1
Copyright Statement
© The Author(s) 2016. JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0.
License URL
Sponsor
Science and Technology Facilities Council (STFC)
Commission of the European Communities
Science and Technology Facilities Council (STFC)
Grant Number
ST/J000353/1
290456
ST/L00044X/1
Subjects
Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
AdS-CFT Correspondence
Conformal and W Symmetry
Supergravity Models
Higher Spin Symmetry
HIGHER DIMENSIONS
GENERAL DIMENSIONS
CHIRAL ANOMALIES
STRESS TENSORS
FIELD-THEORIES
GAUGE-THEORIES
MASS-SPECTRUM
SUPERGRAVITY
D=6
REPRESENTATIONS
Nuclear & Particles Physics
01 Mathematical Sciences
02 Physical Sciences
Publication Status
Published
Article Number
1