On the Renormalizability of Horava-Lifshitz-type Gravities

TL;DR

This paper investigates the renormalizability of Horava-Lifshitz gravity theories by linking them to topologically massive gravity, highlighting the role of symmetries in their quantum consistency.

Contribution

It establishes a connection between Horava-Lifshitz gravity renormalizability and that of topologically massive gravity, using symmetry considerations.

Findings

Renormalizability of HL gravity depends on topologically massive gravity.

BRST and time-reversal symmetries are crucial for renormalizability.

The analysis simplifies understanding quantum properties of HL gravity.

Abstract

In this note, we discuss the renormalizability of Horava-Lifshitz-type gravity theories. Using the fact that Horava-Lifshitz gravity is very closely related to the stochastic quantization of topologically massive gravity, we show that the renormalizability of HL gravity only depends on the renormalizability of topologically massive gravity. This is a consequence of the BRST and time-reversal symmetries pertinent to theories satisfying the detailed balance condition.