Higherdimensional field theories from type II supergravity
Abstract
In this thesis we give a pedagogical introduction to the construction of NS5D6(O6)D8(O8) brane setups in massive type IIA string theory and the sixdimensional $(1,0)$ SCFT's they engineer. After describing how to introduce the various ingredients (and their interplay) in type IIA, we explain how to read off an effective linear quiver description of the SCFT's from the brane setups. We then explain in detail how to construct all AdS$_7$ solutions of massive IIA supergravity which are dual to the field theories. We do this by exploiting the power of generalized complex geometry. We then show how to establish a holographic dictionary between fourdimensional $\mathcal{N}=1$ compactifications on a Riemann surface (without punctures) of the $(1,0)$ SCFT's and a certain class of massive IIA AdS$_5$ solutions, which are in onetoone correspondence with the AdS$_7$ vacua. We provide evidence for the advocated AdS$_7$/CFT$_6$ and AdS$_5$/CFT$_4$ dualities by computing the (leading order of the) field theory $a$ conformal anomaly from supergravity. Finally, we briefly touch upon the construction of fivedimensional $\mathcal{N}=1$ SCFT's through fivebrane webs, and reduce the classification problem of their type IIB AdS$_6$ duals to a system of two coupled PDEs.
 Publication:

arXiv eprints
 Pub Date:
 December 2017
 arXiv:
 arXiv:1712.04447
 Bibcode:
 2017arXiv171204447F
 Keywords:

 High Energy Physics  Theory
 EPrint:
 Ph.D. thesis (defended Jul 2016, ULB Brussels)