6 papers
The Topological Symmetric Orbifold
Songyuan Li, Jan Troost
We analyse topological orbifold conformal field theories on the symmetric product of a complex surface M. By exploiting the mathematics literature we show that a canonical quotient…
Twisted String Theory in Anti-de Sitter Space
Songyuan Li, Jan Troost
We construct a string theory in three-dimensional anti-de Sitter space-time that is independent of the boundary metric. It is a topologically twisted theory of quantum gravity. We…
Pure and Twisted Holography
Songyuan Li, Jan Troost
We analyse a simple example of a holographically dual pair in which we topologically twist both theories. The holography is based on the two-dimensional N=2 supersymmetric Liouvill…
Liouville Quantum Gravity
Songyuan Li, Nicolaos Toumbas, Jan Troost
We define a three-dimensional quantum theory of gravity as the holographic dual of the Liouville conformal field theory. The theory is consistent and unitary by definition. The cor…
Topological Gravity with Non-Compact Matter
Songyuan Li, Jan Troost
We couple twisted non-compact N=(2,2) supersymmetric models to topological gravity in two dimensions. We propose expressions for the genus zero correlation functions based on a Kad…
Twisted Massive Non-Compact Models
Songyuan Li, Jan Troost
We study interacting massive N=(2,2) supersymmetric field theories in two dimensions which arise from deforming conformal field theories with a continuous spectrum. Firstly, we def…