We review the notion of the 5d symmetry topological field theory (TFT) of a 4d quantum field theory (QFT), and try to apply it to N=3 superconformal field theories (SCFTs).
I derive simple bootstrap bounds on correlation functions of the BFSS matrix theory/D0-brane quantum mechanics. The result strengthens and extends Polchinski’s virial theorem bound to finite energies and gives the first non-trivial bound on 〈TrX2〉. Despite their simplicity, the bounds hint at some features of the dual black hole geometry. The best lower bounds are already a factor of ~ 0.7 from the large N extrapolation of Monte Carlo predictions.
Arguments such as those due to Susskind and Uglum show that open strings ending on an entangling surface are crucial to understanding the nature of black hole microstates in string theory and the degrees of freedom being partitioned by Ryu-Takayanagi surfaces in holography. We seek an understanding of these edge modes from the perspective of the boundary theory.
In this talk, we will focus on a particular Matrix Quantum Mechanics model known as mini-BMN that describes an emergent noncommutative Yang-Mills theory on a fuzzy sphere. In mini-BMN and similar models, an analogous problem involves correctly treating the off-diagonal matrix elements that connect eigenvalues on either side of the entanglement cut. We show that these operators, which may be thought of as open strings stretching between D0-branes on either side of the cut, carry representations under the theory's SU(N) symmetry which store information about the size of the entangling surface in the emergent geometry.
We propose a holographic duality for gravity on a three-
dimensional de Sitter space. This is essentially given by a $k=-2$ limit
of SU(2) WZW model. We show that this proposal reproduces the expected
free energy in de Sitter gravity. We also analyze the geodesic length in
the three dimensional de Sitter spacetime and argue that it is
interpreted as holographic pseudo entropy. We will also discuss a time-
like entanglement entropy in AdS/CFT which shares a similar property in
terms of pseudo entropy.
Zoom link will be posted shortly before the seminar.
Algebras of supersymmetry protected local and extended operators can provide analytic access to the dynamics of supersymmetric quantum field theories, even when they are strongly interacting. For example, unitary 4d N ≥ 2 superconformal field theories (SCFTs) contain a protected subsector of local operators, the so-called Schur operators, which produce an associated 2d vertex operator algebra (VOA). I will show that one can use these Schur operators to construct a fascinating web of extended operators (lines, surfaces, ...) which exist in every such SCFT. Moreover, these extended operators will mix with the local Schur operators to form a larger algebraic structure called a 2d vertex algebra. I will illustrate the richness of this mixed structure explicitly in the case of a free hypermultiplet.
In recent years, a new holographic paradigm has emerged in which simple theories of gravity in low dimensions are dual to statistical ensembles of quantum mechanical systems rather than particular quantum systems. This is a conceptual departure from the conventional holographic paradigm, particularly as realized in string theory. A hallmark of such averaged holographic dualities is the non-factorization of multi-boundary observables due to the presence of Euclidean wormholes in the bulk gravitational theory. However, more realistic holographic dualities in higher dimensions are not expected to fundamentally involve microscopic averaging. Nevertheless, there are apparently contributions to the semiclassical gravitational path integral that are associated with averaging in the boundary theory. In this talk I will attempt to reconcile these perspectives by elucidating the emergence of averaging in two different models based on recent works of mine: one top-down, the other bottom-up. In both cases, averaging of boundary degrees of freedom is an emergent phenomenon associated with the expansion around the semiclassical limit.
I will present a classification of all unitary, rational conformal field theories with two primaries, central charge c < 25, and arbitrary Wronskian index. These are shown to be either certain level-1 WZW models or cosets of meromorphic theories by such models. By leveraging the existing classification of meromorphic CFTs of central charge c ≤ 24, all the relevant cosets are enumerated and their characters computed. This leads to 123 theories, most of which are new. It will be emphasised that this is a classification of RCFTs and not just consistent characters. Work in collaboration with Brandon Rayhaun.
This is a joint Theory/String seminar.
I describe partial progress in defining classical and quantum entanglement entropy in string theory using the orbifold method and discuss the physical motivations from holography and black hole physics.
Zoom: https://uky.zoom.us/j/86707156638?pwd=VUNFUUl0cmxGMVArNXpVTTV1MGQ0QT09
In this talk, we present progress towards generalizing on-shell kinematics and color-kinematics duality to curved spacetimes. First, we define a perturbatively calculable quantity—the on-shell correlator—which furnishes a unified description of particle dynamics in curved spacetime. Specializing to the cases of flat and anti-de Sitter space, on-shell correlators coincide precisely with on-shell scattering amplitudes and boundary correlators respectively. We then introduce a notion of on-shell kinematics for symmetric spaces in which the corresponding on-shell momenta are built from isometry generators. Using this isometric language in AdS, we compute scalar correlators and give a field-theoretic derivation of color-kinematics duality for the nonlinear sigma model. Finally, we comment on possible extensions to spacetimes without symmetry.
