A bstract We formulate a series of conjectures relating the geometry of conformal manifolds
to the spectrum of local operators in conformal field theories in d> 2 spacetime dimensions …

A bstract Distances in the conformal manifold, the space of CFTs related by marginal
deformations, can be measured in terms of the Zamolodchikov metric. Part of the CFT …

A bstract We study the O (N) and Gross-Neveu models at large N on AdS d+ 1 background.
Thanks to the isometries of AdS, the observables in these theories are constrained by the …

We provide the first holographic evidence for the existence of a nonsupersymmetric
conformal manifold arising from exactly marginal but supersymmetry-breaking deformations …

A bstract We study the one-dimensional complex conformal manifold that controls the
infrared dynamics of a three-dimensional\(\mathcal {N}\)= 2 supersymmetric theory of three …

Abstract we study the holographic description of N= 2 Super Conformal Field Theories in
four dimensions first given by Gaiotto and Maldacena. We present new expressions that …

A bstract The existence of an exactly marginal deformation in a conformal field theory is very
special, but it is not well understood how this is reflected in the allowed dimensions and OPE …

A bstract Various observables in compact CFTs are required to obey positivity, discreteness,
and integrality. Positivity forms the crux of the conformal bootstrap, but understanding of the …

A bstract Families of conformal field theories are naturally endowed with a Riemannian
geometry which is locally encoded by correlation functions of exactly marginal operators. We …

A bstract We construct and study several examples of continuous families of AdS 4\(\mathcal
{N}\)= 1 solutions of four-dimensional maximal gauged supergravity. These backgrounds …