Beta Functions of Topologically Massive Supergravity

Abstract

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 find that the dimensionless coefficient of the Chern-Simons term, $\nu$, has vanishing beta function. The flow of the cosmological constant and Newton's constant depends on $\nu$; we study analytically the structure of the flow and its fixed points in the limits of small and large $\nu$.

36 pages. References added

References in corpus (10)

• Flat-Space Chiral Gravity
• Measurement of the charm fragmentation function in D* photoproduction at HERA
• Functional renormalization with fermions and tetrads
• Graviton 1-loop partition function for 3-dimensional massive gravity
• A Simple Proof of the Chiral Gravity Conjecture
• On the physical mechanism underlying Asymptotic Safety
• Fixed Points of Quantum Gravity and the Renormalisation Group
• One loop partition function from normal modes for $\mathcal{N}=1$ supergravity in AdS${}_3$
• Beta Function and Asymptotic Safety in Three-dimensional Higher Derivative Gravity
• Renormalizability of Topologically Massive Gravity

Cited by in corpus (8)

• The nonperturbative functional renormalization group and its applications
• Search of scaling solutions in scalar-tensor gravity
• Gauges and functional measures in quantum gravity II: Higher derivative gravity
• Quantization and fixed points of non-integrable Weyl theory
• Anti-brane uplift instability from goldstino condensation
• Modified Dynamical Supergravity Breaking and Off-Diagonal Super-Higgs Effects
• The Variational Field Equations of Cosmological Topologically Massive Supergravity
• Gravitino condensation, supersymmetry breaking and inflation