Abelian M5-brane on $S^6$

Abstract

We study the abelian M5 brane on $S^6$. From the spectrum we extract a series expansion for the heat kernel. In particular we determine the normalization for the coefficient $a$ in the M5 brane conformal anomaly. When we compare our result with what one gets by computing the Hadamard-Minakshisundaram-DeWitt-Seeley coefficients from local curvature invariants on $S^6$, we first find a mismatch of one unit. This mismatch is due to an overcounting of one zero mode. After subtracting this contribution, we finally find agreement. We perform dimensional reduction along a singular circle fiber to five dimensions where we find the conformal anomaly vanishes.

40 pages

References in corpus (2)

• Supergravity one-loop corrections on AdS_7 and AdS_3, higher spins and AdS/CFT
• Witten indices of abelian M5 brane on $\mathbb{R}\times S^5$