Universität zu Köln

Bilal, Adel, Ferrari, Frank ORCID: 0000-0002-3124-867X and Klevtsov, Semyon (2014). 2D quantum gravity at one loop with Liouville and Mabuchi actions. Nucl. Phys. B, 880. S. 203 - 225. AMSTERDAM: ELSEVIER SCIENCE BV. ISSN 1873-1562

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Abstract

We study a new two-dimensional quantum gravity theory, based on a gravitational action containing both the familiar Liouville term and the Mabuchi functional, which has been shown to be related to the coupling of non-conformal matter to gravity. We compute the one-loop string susceptibility from a first-principle, path integral approach in the Kahler parameterization of the metrics and discuss the particularities that arise in the case of the pure Mabuchi theory. While we mainly use the most convenient spectral cutoff regularization to perform our calculations, we also discuss the interesting subtleties associated with the multiplicative anomaly in the familiar zeta-function scheme, which turns out to have a genuine physical effect for our calculations. In particular, we derive and use a general multiplicative anomaly formula for Laplace-type operators on arbitrary compact Riemann surfaces. (C) 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/3.0/). Funded by SCOAP(3).

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Bilal, Adel UNSPECIFIED UNSPECIFIED UNSPECIFIED Ferrari, Frank UNSPECIFIED orcid.org/0000-0002-3124-867X UNSPECIFIED Klevtsov, Semyon UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-444780
DOI:	10.1016/j.nuclphysb.2014.01.005
Journal or Publication Title:	Nucl. Phys. B
Volume:	880
Page Range:	S. 203 - 225
Date:	2014
Publisher:	ELSEVIER SCIENCE BV
Place of Publication:	AMSTERDAM
ISSN:	1873-1562
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language DUAL STRING SPECTRUM; FIELD-THEORY; QUANTIZATION; MANIFOLDS; GEOMETRY; RESIDUE Multiple languages Physics, Particles & Fields Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/44478