We give a comprehensive review of recent developments on using the pure spinor
formalism to compute massless superstring scattering amplitudes at tree level. The main …

The Weak Gravity Conjecture holds that in a theory of quantum gravity, any gauge force
must mediate interactions stronger than gravity for some particles. This statement has …

We provide an overview of the string landscape and the Swampland program. Our review of
the string landscape covers the worldsheet and spacetime perspectives, including vacua …

We give a brief overview of the string landscape and techniques used to construct string
compactifications. We then explain how this motivates the notion of the swampland and …

A bstract We elaborate on various aspects of our top-down celestial holographic duality
wherein the semiclassical bulk spacetime is a 4d asymptotically flat, self-dual Kähler …

A bstract It was recently argued that string theory on AdS 3× S 3× 𝕋 4 with one unit (k= 1) of
NS-NS flux is exactly dual to the symmetric orbifold CFT Sym N (𝕋 4). In this paper we show …

We review the holographic correspondence between field theories and string/M theory,
focusing on the relation between compactifications of string/M theory on Anti-de Sitter …

String theory is one of the most exciting and challenging areas of modern theoretical
physics. This book guides the reader from the basics of string theory to recent developments …

We study N= 2 supersymmetric four-dimensional gauge theories, in a certain 525-02= 2
supergravity background, called the Ω-background. The partition function of the theory in the …

This thorough and detailed exposition is the result of an intensive month-long course on
mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry …