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arXiv · 1902.04201

Abelian M5-brane on $S^6$

Andreas Gustavsson
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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.

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Andreas Gustavsson. 2019-02-20. Abelian M5-brane on $S^6$. https://doi.org/10.1007/jhep04(2019)140

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