Triangle Seminars

Abstract:
We present a detailed analysis of integrated correlators for an N = 2 superconformal field theory on a squashed sphere with SU(N) gauge group and fundamental/anti-symmetric matter. Employing the matrix model arising from supersymmetric localisation, we compute derivatives of the partition function Z with respect to the fundamental mass (µ), the anti-symmetric mass (m) and the squashing parameter (b), corresponding to integrated insertions of the N = 2 flavour-current and stress-tensor multiplets, which are holographically dual to gluon and graviton scatterings in the presence of D7-branes. For correlators dual to only graviton scatterings, we confirm the planar-limit equivalence with N = 4 SYM. Our main result is a remarkable universality for the mixed gluon-graviton scattering amplitudes off D7-branes, obtained from ∂ 2 µ∂ 2 m log Z and ∂ 2 µ∂ 2 b log Z. We show that the leading and sub-leading large-N contributions in the strong-coupling regime are governed by universal asymptotic series, identical to those found for integrated giant-graviton correlators in N = 4 SYM. We also propose an SL(2, Z)-invariant completion of these results in terms of non-holomorphic Eisenstein series.

Abstract:
TBA

Abstract:
In this talk I will discuss Euclidean wormholes with two asymptotic AdS boundaries. I will start with a review of the Factorization puzzle and its potential resolutions. Then I will present wormhole solutions in Einstein gravity plus matter and their properties by computing expectation values of local and non-local observables, based on which I will propose possible holographic duals. I will end with a top-down bubbling wormhole construction in IIB string theory that is 1/2 BPS and I will propose a dual description in terms of correlated backreacting Wilson loops in two copies of N=4 Super-Yang Mills.

Abstract:
We will examine what can be said about compactly supported maps into a pointed space, a question raised by Graeme Segal in exploring the locality of quantum field theory. The nonabelian Poincare duality theorem of Salvatore, Lurie, and Ayala-Francis, building on work of Segal, offers a partial answer to this question via factorization homology. We will describe work in progress with David Ayala in which we introduce novel Grothendieck topologies, offer a natural generalization of factorization homology, and give a clean answer to Segal's question. This topic has close connections with generalized global symmetries in quantum field theory and with the factorization algebra technology used in the geometric Langlands program, as we hope to explain. 

Abstract:
I discuss applications of string theory captured by Swampland principles to our universe, leading to the prediction of one extra dimension of micron scale (the `Dark Dimension’). I explain what is the dark matter in this scenario and how dark energy and dark matter are unified. Moreover Swampland ideas lead to expect evolving of the dark sector in a particular way which was predicted in 2019, and which matches the recent experimental observations of DESI (2025) and DES, leading to improvements over the standard model of cosmology (LCDM) by more than 3 sigma.

Abstract:
TBA