Details

Autor(en) / Beteiligte

• Percacci, R.
• Perry, M. J.
• Pope, C. N.
• Sezgin, E.

Titel

Beta functions of topologically massive supergravity

Ist Teil von

• The journal of high energy physics, 2014-03, Vol.2014 (3), p.1-36, Article 83

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2014

Link zum Volltext

Quelle

SpringerLink Journals

Beschreibungen/Notizen

• A bstract 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 AdS 3 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, ν , has vanishing beta function. The flow of the cosmological constant and Newton’s constant depends on ν ; we study analytically the structure of the flow and its fixed points in the limits of small and large ν .