Flows in the Space of Interacting Chiral Boson Theories
arXiv:2403.18242 · doi:10.1103/PhysRevD.110.046005
Abstract
We study interacting theories of left-moving and right-moving Floreanini-Jackiw bosons in two dimensions. A parameterized family of such theories is shown to enjoy (non-manifest) Lorentz invariance if and only if its Lagrangian obeys a flow equation driven by a function of the energy-momentum tensor. We discuss the canonical quantization of such theories along classical stress tensor flows, focusing on the case of the root- deformation, where we obtain perturbative results for the deformed spectrum in a certain large-momentum limit. In the special case , we consider the quantum effective action for the root--deformed theory by expanding around a general classical background, and we find that the one-loop contribution vanishes for backgrounds with constant scalar gradients. Our analysis can also be interpreted via dual Chern-Simons theories in three dimensions, which might be used to describe deformations of charged black holes or quantum Hall systems.
arXiv comment108 pages, LaTeX; v3: references added, version accepted for publication in PRD
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