Week 16.05.2022 – 22.05.2022

I will discuss different theoretical and phenomenological challenges of quintessence model building in string theory in order to be able to give an informed answer to the question in the title.

The insertion of local operators along a straight Maldacena Wilson line in planar N=4 super Yang Mills defines a defect supersymmetric conformal field theory in one dimension. This is a simple but interesting setup where one can combine field theory techniques such as bootstrap, integrability and localization, aiming at a full solution of a non-trivial quantum mechanical system. I will adopt a bootstrap approach and study correlation functions of local operators for large t Hooft coupling, where the system is dual to an open superstring in $AdS_5 \times S^5$. I will present results for the four-point function of the displacement multiplet of the 1d defect CFT corresponding to three-loop diagrams in AdS, which are obtained using a suitable position-space ansatz and after considering a large system of mixed correlators. The problem is made particularly hard by the large degeneracy of operators at strong coupling, which we solve by taking into account four-point functions with external unprotected operators. The simple 1d kinematics is an ideal toy model for bootstrap techniques of interest for higher-dimensional cases as well. The seminar will be based on published as well as ongoing work with Carlo Meneghelli (see arxiv:2103.10440).

There exist low-dimensional models of holography in which the bulk gravitational theory is dual to an ensemble average of boundary quantum field theories (as opposed to a single theory). In the case of three-dimensional gravitational theories based on topological field theories, we draw a connection between the ensemble averaging (and the lack of factorization of the partition function) and the presence of global symmetries. Once the global symmetries are removed (by a suitable gauging procedure), the gravitational theory behaves as a unitary quantum system.; Part of London TQFT Journal Club; please register at https://www.london-tqft.co.uk;

In this talk I will present an overview of the local holography program which links the quantization of gravity with the representation theory of infinite dimensional symmetry groups attached to codimension 2 surfaces: the corners. I will present in detail the corner symmetry group for 4d gravity and show its connection with the symmetry algebra of perfect fluids. As a step towards quantization, I will recall the importance of the co-adjoint orbit method and I will derive a complete classification of the positive-area coadjoint orbits of this group for corners that are a 2-sphere. I will also show that a deformation of this symmetry group naturally involves matrix model as a quantum regulator. If time permits I will mention some connections these results have with celestial holography and the higher spin asymptotic symmetry group. [for zoom link please contact h(dot)jiang(at)qmul(dot)ac(dot)uk]