The counting of BPS states in four-dimensional ${\cal N}= 1$ theories has attracted a lot of
attention in recent years. For superconformal theories, these states are in one-to-one …

A bstract We construct large N saddle points of the matrix model for the\(\mathcal {N}\)= 4
Yang-Mills index dual to the BPS black holes in AdS 5× S 5, in two different setups. When …

A bstract The Weak Gravity Conjecture (WGC) in anti-de Sitter spacetime (AdS) asserts the
existence of an operator in the boundary conformal field theory (CFT) whose scaling …

A bstract We compute the equivariant partition function of the six-dimensional M-string
SCFTs on a background with the topology of a product of a two-dimensional torus and an …

A bstract We study the superconformal index of 6d SCFTs from their't Hooft anomalies. In the
Cardy limit where the angular momenta on S 5 are large, we show that the leading free …

A bstract We provide evidence for a holographic duality between superconformal quantum
mechanics on the moduli space of Yang-Mills instantons and M-theory in certain …

A bstract We develop the thermodynamics of black holes in AdS 4 and AdS 7 near their BPS
limit. In each setting we study the two distinct deformations orthogonal to the BPS surface as …

A bstract An often fruitful route to study quantum gravity is the determination and study of
quantum mechanical models—that is, models with finite degrees of freedom—that capture …

A bstract We study twisted circle compactification of 6d (2, 0) SCFTs to 5d\(\mathcal {N}\)= 2
supersymmetric gauge theories with non-simply-laced gauge groups. We provide two …

A bstract We give a geometric interpretation for superconformal quantum mechanics defined
on a hyper-Kähler cone which has an equivariant symplectic resolution. BPS states are …