Flows in the space of interacting chiral boson theories

Ebert, Stephen; Ferko, Christian; Luke Martin, Cian; Tartaglino-Mazzucchelli, Gabriele

doi:10.1103/PhysRevD.110.046005

Flows in the space of interacting chiral boson theories

Journal Article · Mon Aug 05 00:00:00 EDT 2024 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.110.046005· OSTI ID:2426665

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We study interacting theories of $N$ left-moving and $\bar{N}$ right-moving Floreanini-Jackiw bosons in two dimensions. A parametrized family of such theories is shown to enjoy (nonmanifest) 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- $T \bar{T}$ deformation, where we obtain perturbative results for the deformed spectrum in a certain large-momentum limit. In the special case $N = \bar{N}$ , we consider the quantum effective action for the root- $T \bar{T}$ -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 $U (1)$ Chern-Simons theories in three dimensions, which might be used to describe deformations of charged ${AdS}_{3}$ black holes or quantum Hall systems.

Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0009999

OSTI ID:: 2426665

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 4 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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3D gravity in a box Kraus, Per; Monten, Ruben; Myers, Richard M. SciPost Physics, Vol. 11, Issue 3 https://doi.org/10.21468/SciPostPhys.11.3.070	journal	September 2021
Infinite pseudo-conformal symmetries of classical $T \bar T$, $J \bar T $ and $J T_a$ - deformed CFTs Guica, Monica; Monten, Ruben SciPost Physics, Vol. 11, Issue 4 https://doi.org/10.21468/SciPostPhys.11.4.078	journal	October 2021
On Current-Squared Flows and ModMax Theories Ferko, Christian; Smith, Liam; Tartaglino, Gabriele SciPost Physics, Vol. 13, Issue 2 https://doi.org/10.21468/SciPostPhys.13.2.012	journal	August 2022
Field Theory of Interacting Boundary Gravitons Ebert, Stephen; Hijano, Eliot; Kraus, Per SciPost Physics, Vol. 13, Issue 2 https://doi.org/10.21468/SciPostPhys.13.2.038	journal	August 2022
$T\bar{T}$ in JT Gravity and BF Gauge Theory Ebert, Stephen; Ferko, Christian; Sun, Hao-Yu SciPost Physics, Vol. 13, Issue 4 https://doi.org/10.21468/SciPostPhys.13.4.096	journal	October 2022
Sequential flows by irrelevant operators Ferko, Christian; Sethi, Savdeep SciPost Physics, Vol. 14, Issue 5 https://doi.org/10.21468/SciPostPhys.14.5.098	journal	May 2023
Stress Tensor flows, birefringence in non-linear electrodynamics and supersymmetry Ferko, Christian; Smith, Liam; Tartaglino-Mazzucchelli, Gabriele SciPost Physics, Vol. 15, Issue 5 https://doi.org/10.21468/SciPostPhys.15.5.198	journal	November 2023
$T \overline{T}$-like flows and $3d$ nonlinear supersymmetry Ferko, Christian; Hu, Yangrui; Huang, Zejun SciPost Physics, Vol. 16, Issue 1 https://doi.org/10.21468/SciPostPhys.16.1.038	journal	January 2024
Goldstone modes and photonization for higher form symmetries Hofman, Diego; Iqbal, Nabil SciPost Physics, Vol. 6, Issue 1 https://doi.org/10.21468/SciPostPhys.6.1.006	journal	January 2019
$T \bar{T}$ deformations in general dimensions Taylor, Marika Advances in Theoretical and Mathematical Physics, Vol. 27, Issue 1 https://doi.org/10.4310/ATMP.2023.v27.n1.a2	journal	January 2023

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