SCFTs, Holography, and Topological Strings
Abstract
We show that the nongravitational sectors of certain 6d and 5d supergravity theories can be decomposed into superconformal field theories (SCFTs) which are coupled together by pairwise identifying and gauging mutual global symmetries. In the case of 6d supergravity, we consider Ftheory on compact elliptic CalabiYau 3folds with base $B=T^4/\mathbb{Z}_n\times \mathbb{Z}_m$ and we show in many examples that the nongravitational field theory sectors can be described as configurations of coupled 6d $(1,0)$ SCFTs. We also conjecture that the effective 2d $(0,4)$ SCFTs living on the selfdual strings of the 6d theories lead to holographically dual descriptions of type IIB string theory on $AdS_3\times S^3\times B$ and moreover that their elliptic genera can be used to compute the degeneracies of 5d spinning BPS black holes along with allgenus topological string amplitudes on the corresponding compact 3fold. In the case of 5d supergravity, we consider Mtheory on compact CalabiYau 3folds and using similar ideas as in the 6d case we show the complete nongravitational sector of 5d supergravity theories can be decomposed into coupled 5d $\mathcal{N}=1$ SCFTs. Furthermore, using this picture we propose a generalized topological vertex formalism which, excluding some curve classes, seems to capture allgenus topological string amplitudes for the mirror quintic.
 Publication:

arXiv eprints
 Pub Date:
 April 2019
 arXiv:
 arXiv:1905.00116
 Bibcode:
 2019arXiv190500116H
 Keywords:

 High Energy Physics  Theory
 EPrint:
 115 pages, 36 figures