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 (10)

• The Holographic Weyl anomaly
• Heat kernel expansion: user's manual
• Conformal anomaly of (2,0) tensor multiplet in six dimensions and AdS/CFT correspondence
• Supergravity one-loop corrections on AdS_7 and AdS_3, higher spins and AdS/CFT
• Weyl anomaly of conformal higher spins on six-sphere
• The Conformal Anomaly of M5-Branes
• Determinants of Laplacians, the Ray-Singer Torsion on Lens Spaces and the Riemann zeta function
• Conformal anomaly c-coefficients of superconformal 6d theories
• Toda Theory From Six Dimensions
• Witten indices of abelian M5 brane on $\mathbb{R}\times S^5$

Cited by in corpus (4)

• New Heat Kernel Method in Lifshitz Theories
• Manifestly Covariant Polynomial M5-brane Lagrangians
• Nonabelian M5-brane on $S_q^6$
• Abelian M5-brane on $S_q^6$