Abstract
Abstract
We study strongly coupled ABJM theory on the 3-sphere with massive quenched flavor using the AdS/CFT correspondence. The holographic dual consists of type IIA supergravity with probe D6-branes. The flavor mass is a relevant deformation driving an RG flow whose IR endpoint is pure ABJM theory. At non-zero mass, we find that the theory on the 3-sphere exhibits a quantum phase transition at a critical value of the sphere radius. The transition corresponds to a topology change in the D6-brane embeddings whose dual interpretation is the meson-melting transition. We perform the holographic computation of the free energy on 3-sphere and we use it to construct various candidate F-functions. These were recently proposed in the context of Einstein-scalar gravity to interpolate monotonically between the values of the sphere free energies of the UV and IR CFTs. We find that while the F-functions of the flavored ABJM theory have the correct UV and IR limits, they are not monotonic. We surmise that the non-monotonicity is related to the presence of the phase transition.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference58 articles.
1. J. K. Ghosh, E. Kiritsis, F. Nitti and L. T. Witkowski, Holographic RG flows on curved manifolds and quantum phase transitions, JHEP 05 (2018) 034 [arXiv:1711.08462] [INSPIRE].
2. D. L. Jafferis, I. R. Klebanov, S. S. Pufu and B. R. Safdi, Towards the F-theorem: N = 2 field theories on the three-sphere, JHEP 06 (2011) 102 [arXiv:1103.1181] [INSPIRE].
3. H. Liu and M. Mezei, A refinement of entanglement entropy and the number of degrees of freedom, JHEP 04 (2013) 162 [arXiv:1202.2070] [INSPIRE].
4. C. R. Graham, Volume and area renormalizations for conformally compact Einstein metrics, Rend. Circ. Mat. Palermo S 63 (2000) 31 [math.DG/9909042] [INSPIRE].
5. E. Kiritsis, F. Nitti and L. Silva Pimenta, Exotic RG flows from holography, Fortsch. Phys. 65 (2017) 1600120 [arXiv:1611.05493] [INSPIRE].
Cited by
1 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