The TTbar deformation is a class of solvable irrelevant deformations of 2d QFTs, defined by flowing along the composite operator constructed from the components of the stress tensor. TTbar deformations have attracted significant interest due to their intriguing properties, such as preserving integrability, exhibiting solvable thermodynamics, and admitting a holographic dual description in AdS3/CFT2. The partition functions of TTbar deformed theories on a torus are known to be modular invariant and to obey a flow equation. We solve the flow equation via harmonic analysis and obtain a model-independent expression. Then, by imposing the spectral decomposition on the specific case of the undeformed compact free boson, we derive the explicit form of its TTbar deformed partition function.

Biography

Jue Hou is a postdoctoral researcher at King's College London. He obtained his PhD in physics from Peking University and subsequently held a postdoctoral position at Southeast University. His research focuses on integrability, with specific interests in integrable spin chains and integrable deformations of QFTs, including the TTbar deformation.

Inviter: Jie-Qiang Wu