Abstract
Abstract
We put forward a two-dimensional nonlinear sigma model that couples (bosonic) matter fields to topological Hořava gravity on a nonrelativistic worldsheet. In the target space, this sigma model describes classical strings propagating in a curved spacetime background, whose geometry is described by two distinct metric fields. We evaluate the renormalization group flows of this sigma model on a flat worldsheet and derive a set of beta-functionals for the bimetric fields. Imposing worldsheet Weyl invariance at the quantum level, we uncover a set of gravitational field equations that dictate the dynamics of the bimetric fields in the target space, where a unique massless spin-two excitation emerges. When the bimetric fields become identical, the sigma model gains an emergent Lorentz symmetry. In this single metric limit, the beta-functionals of the bimetric fields reduce to the Ricci flow equation that arises in bosonic string theory, and the bimetric gravitational field equations give rise to Einstein’s gravity.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference58 articles.
1. P. Hořava and E. Witten, Heterotic and type-I string dynamics from eleven-dimensions, Nucl. Phys. B 460 (1996) 506 [hep-th/9510209] [INSPIRE].
2. P. Hořava, Membranes at Quantum Criticality, JHEP 03 (2009) 020 [arXiv:0812.4287] [INSPIRE].
3. R. Penrose, Structure of space-time, in Battelle Rencontres, Seattle, U.S.A., 16–31 July 1967, p. 121 [INSPIRE].
4. K.T. Grosvenor, P. Hořava, C.J. Mogni and Z. Yan, Nonrelativistic Short-Distance Completions of a Naturally Light Higgs, arXiv:1608.06937 [INSPIRE].
5. P. Hořava, Aristotelian supersymmetry, talk at Perimeter Institute for Theoretical Physics, (2019) [http://pirsa.org/displayFlash.php?id=18100019].
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献