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C-T for higher derivative conformal fields and anomalies of (1,0) superconformal 6d theories

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Title: C-T for higher derivative conformal fields and anomalies of (1,0) superconformal 6d theories
Authors: Beccaria, M
Tseytlin, AA
Item Type: Journal Article
Abstract: In [8] we proposed the linear relations between the Weyl anomaly c1, c2, c3 coefficients and the 4 coefficients in the chiral anomaly polynomial for (1,0) superconformal 6d theories. These relations were determined up to one free parameter ξ and its value was then conjectured using some additional assumptions. A different value for ξ was recently suggested in arXiv:1702.03518 using an alternative method. Here we confirm that this latter value is indeed the correct one by providing an additional data point: the Weyl anomaly coefficient c3 for the higher derivative (1,0) superconformal 6d vector multiplet. This multiplet contains the 4-derivative conformal gauge vector, 3-derivative fermion and 2-derivative scalar. We find the corresponding value of c3 which is proportional to the coefficient CT in the 2-point function of stress tensor using its relation to the first derivative of the Renyi entropy or the second derivative of the free energy on the product of thermal circle and 5d hyperbolic space. We present some general results of the computation of the Rényi entropy and CT from the partition function on S1 × ℍd − 1 for higher derivative conformal scalars, spinors and vectors in even dimensions. We also give an independent derivation of the conformal anomaly coefficients of the 6d higher derivative vector multiplet from the Seeley-DeWitt coefficients on an Einstein background.
Issue Date: 1-Jun-2017
Date of Acceptance: 27-May-2017
URI: http://hdl.handle.net/10044/1/49377
DOI: https://dx.doi.org/10.1007/JHEP06(2017)002
ISSN: 1029-8479
Publisher: SPRINGER
Journal / Book Title: JOURNAL OF HIGH ENERGY PHYSICS
Volume: 2017
Issue: 6
Copyright Statement: © 2017 The Author(s). Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0 https://creativecommons.org/licenses/by/4.0/), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Sponsor/Funder: Commission of the European Communities
Science and Technology Facilities Council (STFC)
Funder's Grant Number: 290456
ST/L00044X/1
Keywords: Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
AdS-CFT Correspondence
Conformal Field Theory
Supergravity Models
O(N) VECTOR MODEL
CONSERVED-CURRENTS
GENERAL DIMENSIONS
HYPERBOLIC SPACES
DIRAC OPERATOR
D=6
SUPERGRAVITY
REPRESENTATIONS
SUPERSYMMETRY
SUPERFIELDS
01 Mathematical Sciences
02 Physical Sciences
Nuclear & Particles Physics
Publication Status: Published
Open Access location: https://link.springer.com/content/pdf/10.1007/JHEP06(2017)002.pdf
Article Number: ARTN 002
Appears in Collections:Physics
Theoretical Physics



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