Weyl anomaly of conformal higher spins on six-sphere

AA Tseytlin�- Nuclear Physics B, 2013 - Elsevier
Nuclear Physics B, 2013Elsevier
This paper is a sequel to arXiv: 1309.0785 were we computed the Weyl anomaly a (Euler
density or logarithmic divergence on S d) coefficient for higher-derivative conformal higher
spin field in d= 4 and shown that it matches the expression found in arXiv: 1306.5242 by a
“holographic” method from a ratio of massless higher spin determinants in AdS 5. Here we
repeat the same computation in on 6-sphere and demonstrate that the result matches again
the one following from AdS 7. We also discuss explicitly similar matching in the d= 2 case.
This paper is a sequel to arXiv: 1309.0785 were we computed the Weyl anomaly a (Euler density or logarithmic divergence on S d) coefficient for higher-derivative conformal higher spin field in d= 4 and shown that it matches the expression found in arXiv: 1306.5242 by a “holographic” method from a ratio of massless higher spin determinants in AdS 5. Here we repeat the same computation in on 6-sphere and demonstrate that the result matches again the one following from AdS 7. We also discuss explicitly similar matching in the d= 2 case.
Elsevier