The Effective Action of W3 Gravity to All Orders
Jan de Boer, Jacob Goeree
Abstract
The effective action for chiral W3 gravity is studied. It is shown that the computation of the effective action can be reduced to that of a SL(3,) Wess-Zumino-Witten theory. If one assumes that the effective action for the Wess-Zumino-Witten model is identical to the WZW action up to multiplicative renormalizations, then the effective action for W3 gravity is, to all orders, given by a constrained WZW model. The multiplicative renormalization constants of the WZW model are discussed and it is analyzed which particular values of these constants are consistent with previous one-loop calculations, and which reproduce the KPZ formulas for gravity and their generalizations for W3 gravity.
Create a lesson
Related papers
Proof of the AGT Conjecture at Generic β
Le-Feng Chen, Kilar Zhang
Casimir operators of 4D\,, N=2 supersymmetry in the harmonic approach
Egor Eremeev, Evgeny Ivanov
Doubly-scaled planar N = 4 SYM \& Carroll Holography
Arjun Bagchi, Prateksh Dhivakar, Alok Laddha et al.
Quantum Selection of Classical Histories
Omer Guleryuz
Wess-Zumino gauge for analytic prepotentials of off-shell N=2 supergravity: bosonic sector
Nikita Zaigraev, Julia Zernina
Testing holographic computation of entanglement pseudo-entropy in dS3/ICFT2
Liang Li