We compute the one-loop beta functions of the cosmological constant, Newton's constant and the topological mass in topologically massive supergravity in three dimensions. We use a variant of the proper time method supplemented by a simple choice of cutoff function. We also employ two different analytic continuations of AdS3 and consider harmonic expansions on the 3-sphere as well as a 3-hyperboloid, and then show that they give the same results for the beta functions. We find that the dimensionless coefficient of the Chern-Simons term, ∨, has vanishing beta function. The flow of the cosmological constant and Newton's constant depends on ∨; we study analytically the structure of the flow and its fixed points in the limits of small and large ?. Open Access, © 2014 The Authors.
|Titolo:||Beta functions of topologically massive supergravity|
|Autori:||Percacci, R.; Perry, M. J.; Pope, C. N.; Sezgin, E.|
|Data di pubblicazione:||2014|
|Numero di Articolo:||083|
|Digital Object Identifier (DOI):||10.1007/JHEP03(2014)083|
|Fulltext via DOI:||10.1007/JHEP03(2014)083|
|Appare nelle tipologie:||1.1 Journal article|