TY - JOUR
T1 - Tweaking one-loop determinants in AdS3
AU - Castro, Alejandra
AU - Keeler, Cynthia
AU - Szepietowski, Phillip
N1 - Funding Information:
Article funded by SCOAP3.
Publisher Copyright:
© 2017, The Author(s).
PY - 2017/10/1
Y1 - 2017/10/1
N2 - We revisit the subject of one-loop determinants in AdS3 gravity via the quasi-normal mode method. Our goal is to evaluate a one-loop determinant with chiral boundary conditions for the metric field; chirality is achieved by imposing Dirichlet boundary conditions on certain components while others satisfy Neumann. Along the way, we give a generalization of the quasinormal mode method for stationary (non-static) thermal backgrounds, and propose a treatment for Neumann boundary conditions in this framework. We evaluate the graviton one-loop determinant on the Euclidean BTZ background with parity-violating boundary conditions (CSS), and find excellent agreement with the dual warped CFT. We also discuss a more general falloff in AdS3 that is related to two dimensional quantum gravity in lightcone gauge. The behavior of the ghost fields under both sets of boundary conditions is novel and we discuss potential interpretations.
AB - We revisit the subject of one-loop determinants in AdS3 gravity via the quasi-normal mode method. Our goal is to evaluate a one-loop determinant with chiral boundary conditions for the metric field; chirality is achieved by imposing Dirichlet boundary conditions on certain components while others satisfy Neumann. Along the way, we give a generalization of the quasinormal mode method for stationary (non-static) thermal backgrounds, and propose a treatment for Neumann boundary conditions in this framework. We evaluate the graviton one-loop determinant on the Euclidean BTZ background with parity-violating boundary conditions (CSS), and find excellent agreement with the dual warped CFT. We also discuss a more general falloff in AdS3 that is related to two dimensional quantum gravity in lightcone gauge. The behavior of the ghost fields under both sets of boundary conditions is novel and we discuss potential interpretations.
KW - 2D Gravity
KW - AdS-CFT Correspondence
KW - Black Holes
KW - Conformal Field Theory
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U2 - 10.1007/JHEP10(2017)070
DO - 10.1007/JHEP10(2017)070
M3 - Article
AN - SCOPUS:85031494218
SN - 1126-6708
VL - 2017
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 10
M1 - 70
ER -