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Title: Functional determinants of radial operators in AdS2

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2]; ORCiD logo [3]; ORCiD logo [4]; ORCiD logo [5]
  1. Inst. de Fisica de La Plata, La Plata (Argentina). CONICET & Dept. de Fisica
  2. Univ. Andres Bello, Santiago (Chile). Dept. de Ciencias Fisicas, Facultad de Ciencias Exactas
  3. Univ. of Michigan, Ann Arbor, MI (United States). Leinweber Center for Theoretical Physics; Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
  4. Univ. of Michigan, Ann Arbor, MI (United States). Leinweber Center for Theoretical Physics
  5. Inst. de Fisica de La Plata, La Plata (Argentina). CONICET & Dept. de Fisica; Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
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We study the zeta-function regularization of functional determinants of Laplace and Dirac-type operators in two-dimensional Euclidean AdS2 space. More specifically, we consider the ratio of determinants between an operator in the presence of background fields with circular symmetry and the free operator in which the background fields are absent. By Fourier-transforming the angular dependence, one obtains an infinite number of one-dimensional radial operators, the determinants of which are easy to compute. The summation over modes is then treated with care so as to guarantee that the result coincides with the two-dimensional zeta-function formalism. The method relies on some well-known techniques to compute functional determinants using contour integrals and the construction of the Jost function from scattering theory. Here, our work generalizes some known results in flat space. The extension to conformal AdS2 geometries is also considered. We provide two examples, one bosonic and one fermionic, borrowed from the spectrum of fluctuations of the holographic 1/4-BPS latitude Wilson loop.

Research Organization:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0017808; SC0007859
OSTI ID:
1457336
Alternate ID(s):
OSTI ID: 1650341
Journal Information:
Journal of High Energy Physics (Online), Vol. 2018, Issue 6; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

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Cited By (2)

Quantum corrections to minimal surfaces with mixed three-form flux journal January 2020
One-loop holography with strings in AdS4 × ℂℙ3 journal October 2019

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Related Subjects

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