Interacting chiral form field theories and $$ T\overline{T} $$ -like flows in six and higher dimensions
Christian Ferko (Center for Quantum Mathematics and Physics (QMAP), Department of Physics & Astronomy, University of California, Davis, CA, 95616, USA); Sergei Kuzenko (Department of Physics M013, The University of Western Australia, 35 Stirling Highway, Perth, W.A., 6009, Australia); Kurt Lechner (INFN, Sezione di Padova, Via Marzolo 8, Padova, 35131, Italy, Dipartimento di Fisica ed Astronomia “Galileo Galilei”, Università degli Studi di Padova, Via Marzolo 8, Padova, 35131, Italy); Dmitri Sorokin (INFN, Sezione di Padova, Via Marzolo 8, Padova, 35131, Italy, Dipartimento di Fisica ed Astronomia “Galileo Galilei”, Università degli Studi di Padova, Via Marzolo 8, Padova, 35131, Italy); Gabriele Tartaglino-Mazzucchelli (School of Mathematics and Physics, University of Queensland, St Lucia, Brisbane, Queensland, 4072, Australia)
In this paper we initiate the study of six-dimensional non-linear chiral two-form gauge theories as deformations of free chiral two-form gauge theories driven by stress-tensor $$ T\overline{T} $$ -like flows. To lay the background for this study, we elaborate on the relationship between different Lagrangian formulations of duality-invariant p-form theories and corresponding $$ T\overline{T} $$ -like flows in various dimensions. To this end we propose a new formulation which (i) is a generalization of the four-dimensional construction by Ivanov, Nurmagambetov and Zupnik (INZ) and (ii) turns into the PST formulation upon integrating out an auxiliary self-dual field. We elucidate space-time covariant properties of the PST formulation by clarifying and making use of its relation to the INZ-type formulation and to a so-called “clone” construction.