Imperial College London
Alternate

ProfessorArkadyTseytlin

Faculty of Natural Sciences, Department of Physics

Professor of Theoretical Physics
 
 
 
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Contact

 

+44 (0)20 7594 1890a.tseytlin Website

 
 
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Location

 

685Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Beccaria:2017:10.1007/JHEP09(2017)123,
author = {Beccaria, M and Tseytlin, AA},
doi = {10.1007/JHEP09(2017)123},
journal = {Journal of High Energy Physics},
title = {C-T for conformal higher spin fields from partition function on conically deformed sphere},
url = {http://dx.doi.org/10.1007/JHEP09(2017)123},
volume = {2017},
year = {2017}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We consider the one-parameter generalization Sq4 of 4-sphere with a conical singularity due to identification τ = τ +2πq in one isometric angle. We compute the value of the spectral zeta-function at zero  ζˆ(q)=ζ(0;q)ζ^(q)=ζ(0;q) that controls the coefficient of the logarithmic UV divergence of the one-loop partition function on Sq4. While the value of the conformal anomaly a-coefficient is proportional to  ζˆ(1)ζ^(1), we argue that in general the second c ∼ CT anomaly coefficient is related to a particular combination of the second and first derivatives of  ζˆ(q)ζ^(q) at q = 1. The universality of this relation for CT is supported also by examples in 6 and 2 dimensions. We use it to compute the c-coefficient for conformal higher spins finding that it coincides with the “r = −1” value of the one-parameter Ansatz suggested in arXiv:1309.0785. Like the sums of as and cs coefficients, the regularized sum of  ζˆs(q)ζ^s(q) over the whole tower of conformal higher spins s = 1, 2,… is found to vanish, implying UV finiteness on Sq4 and thus also the vanishing of the associated Rényi entropy. Similar conclusions are found to apply to the standard 2-derivative massless higher spin tower. We also present an independent computation of the full set of conformal anomaly coefficients of the 6d Weyl graviton theory defined by a particular combination of the three 6d Weyl invariants that has a (2, 0) supersymmetric extension.
AU  - Beccaria,M
AU  - Tseytlin,AA
DO  - 10.1007/JHEP09(2017)123
PY  - 2017///
SN  - 1029-8479
TI  - C-T for conformal higher spin fields from partition function on conically deformed sphere
T2  - Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/JHEP09(2017)123
UR  - http://hdl.handle.net/10044/1/52404
VL  - 2017
ER  -
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