Conformal anomalies in 6D four-derivative theories: A heat-kernel analysis

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Lorenzo Casarin

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Externe Organisationen

  • Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)
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Details

OriginalspracheEnglisch
Aufsatznummer025014
FachzeitschriftPhysical Review D
Jahrgang108
Ausgabenummer2
PublikationsstatusVeröffentlicht - 24 Juli 2023

Abstract

We compute the conformal anomalies for some higher-derivative (nonunitary) 6D Weyl invariant theories using the heat-kernel expansion in the background-field method. To this aim we obtain the general expression for the Seeley-DeWitt coefficient b6 for 4-derivative differential operators with background curved geometry and gauge fields, which was known only in flat space so far. We consider 4-derivative scalars and Abelian vectors as well as 3-derivative fermions, confirming the result of the literature obtained via indirect methods. We generalize the vector case by including the curvature coupling FFWeyl.

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Conformal anomalies in 6D four-derivative theories: A heat-kernel analysis. / Casarin, Lorenzo.
in: Physical Review D, Jahrgang 108, Nr. 2, 025014, 24.07.2023.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Casarin L. Conformal anomalies in 6D four-derivative theories: A heat-kernel analysis. Physical Review D. 2023 Jul 24;108(2):025014. doi: 10.48550/arXiv.2306.05944, 10.1103/PhysRevD.108.025014
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