Irrelevant Deformations with Boundaries and Defects

Abstract

We initiate the study of $T\bar{T}$-like irrelevant solvable deformations in quantum field theory with boundaries and defects. For this purpose, we employ a general formalism developed in the context of spin chains, which allows us to derive both, the deformed bulk and boundary/defect scattering matrices of integrable models. Using the deformed scattering matrices, we derive the flow equation for the deformed finite volume spectrum, as well as the cylinder partition function and the exact $g$-function.

61 pages, 6 figures

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Cited by in corpus (6)

• $T\bar{T}$ flow as characteristic flows
• Integrable Crosscap States: From Spin Chains to 1D Bose Gas
• Holographic boundary conformal field theory with $T\bar{T}$ deformation
• Duality defect in a deformed transverse-field Ising model
• Root-$T\overline{T}$ deformed CFT partition functions at large central charge
• Boundary Quantum Field Theories Perturbed by $\mathrm{T}\bar{\mathrm{T}}$: Towards a Form Factor Program