Interacting Chiral Form Field Theories and $T\overline{T}$-like Flows in Six and Higher Dimensions

Abstract

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.

arXiv comment82 pages (with Appendices and References), V2: clarifications and references added, typos corrected

References in corpus (110)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Electric-Magnetic Duality Rotations in Non-Linear Electrodynamics
• Covariant Action for the Super-Five-Brane of M-Theory
• Duality Symmetric Actions
• Covariant Action for a D=11 Five-Brane with the Chiral Field
• World-Volume Action of the M Theory Five-Brane
• Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes
• On Lorentz Invariant Actions for Chiral P-Forms
• A non-linear duality-invariant conformal extension of Maxwell's equations
• Asymptotic Fragility, Near $Ad{S}_2$ Holography and $T\bar{T}$
• D=11, p=5
• Cutoff AdS${}_3$ versus the $T\bar{T}$ deformation
• The $T\overline{T}$ deformation of quantum field theory as random geometry
• $T\bar{T}$ Partition Function from Topological Gravity
• Covariant Field Equations of the M Theory Five-Brane
• Interacting Chiral Gauge Fields in Six Dimensions and Born-Infeld Theory
• Duality Symmetric Actions with Manifest Space-Time Symmetries
• The $\text{T}\bar{\text{T}}$ perturbation and its geometric interpretation
• SL(2,R) Invariance of Non-Linear Electrodynamics Coupled to An Axion and a Dilaton
• Introductory Notes on Non-linear Electrodynamics and its Applications
• Modular invariance and uniqueness of $T\bar{T}$ deformed CFT
• $T\bar{T}$-deformations in closed form
• $T\bar{T}$ and the mirage of a bulk cutoff
• Holography Beyond AdS
• $T\bar{T}$ deformed partition functions
• D=10, N=IIB Supergravity: Lorentz-invariant actions and duality
• Generalised Born-Infeld models, Lax operators and the $\text{T}\bar{\text{T}}$ perturbation
• Supersymmetric Duality Rotations
• On the equivalence of different formulations of the M Theory five--brane
• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• On p-form gauge theories and their conformal limits
• A Solvable Irrelevant Deformation of $Ad{S}_3/CF{T}_2$
• Emergence of non-linear electrodynamic theories from $T\bar{T}$-like deformations
• Covariant Actions for the Bosonic Sector of D=10 IIB Supergravity
• Hamiltonian deformations in quantum mechanics, $T\bar{T}$, and SYK
• On $T\bar{T}$ deformations and supersymmetry
• Nonlinear Self-Duality and Supersymmetry
• Manifest Electromagnetic Duality in Closed Superstring Field Theory
• The Six Dimensional Self-Dual Tensor
• Supersymmetry and $T\overline{T}$ Deformations
• New approach to nonlinear electrodynamics: dualities as symmetries of interaction
• An action for the super-5-brane in D=11 supergravity
• Root-$T\overline{T}$ Deformations in Two-Dimensional Quantum Field Theories
• TsT, $T\bar{T}$ and black strings
• Covariant Action for Type IIB Supergravity
• Self-dual forms: Action, Hamiltonian and Compactification
• Mapping relativistic to ultra/non-relativistic conformal symmetries in 2D and finite $\sqrt{T\bar{T}}$ deformations
• N=3 supersymmetric Born-Infeld theory
• $T\bar{T}$-Deformed Actions and (1,1) Supersymmetry
• On Chiral p-Forms
• On Covariant Actions for Chiral $p-$Forms
• Nonlinear Self-Duality in Even Dimensions
• $T\bar{T}$-like Flows in Non-linear Electrodynamic Theories and S-duality
• Boosting to BMS
• The type IIA NS5--Brane
• Duality-Invariant Non-linear Electrodynamics and Stress Tensor Flows
• (2,0) Lagrangian Structures
• Covariant actions for N=1, D=6 Supergravity theories with chiral bosons
• On the Classical Integrability of Root-$T\overline{T}$ Flows
• Non-Linear Supersymmetry and $T\bar{T}$-like Flows
• Nonlinear automorphism of the conformal algebra in 2D and continuous $\sqrt{T\bar{T}}$ deformations
• Thermodynamic geometry and complexity of black holes in theories with broken translational invariance
• $T\bar{T}$ in JT Gravity and BF Gauge Theory
• Nonlinear Self-Duality and Supergravity
• Three approaches to chiral form interactions
• Covariant actions for models with non-linear twisted self-duality
• Infinite pseudo-conformal symmetries of classical $T\bar{T}$, $J\bar{T}$ and $J{T}_a$ - deformed CFTs
• A Non-Abelian Analogue of DBI from $T\overline{T}$
• Self-Duality in Nonlinear Electromagnetism
• Superconformal duality-invariant models and $\mathcal{N}=4$ SYM effective action
• Various Faces of Type IIA Supergravity
• Self-interacting chiral p-forms in higher dimensions
• Duality rotations in supersymmetric nonlinear electrodynamics revisited
• Sequential Flows by Irrelevant Operators
• Manifestly $SL(2,R)$ Duality-Symmetric Forms in ModMax Theory
• Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry
• Root-$T\overline{T}$ Deformed Boundary Conditions in Holography
• Polynomial Duality-Symmetric Lagrangians for Free p-Forms
• Manifestly Lorentz invariant chiral boson action
• The M5-brane action revisited
• Constitutive relations and Schroedinger's formulation of nonlinear electromagnetic theories
• Holography and Irrelevant Operators
• Nonlinear self-duality in N = 2 supergravity
• Supersymmetric $J\bar{T}$ and $T\bar{J}$ deformations
• The metric and strong coupling limit of the M5-brane
• Auxiliary superfields in N=1 supersymmetric self-dual electrodynamics
• Duality invariant self-interactions of abelian p-forms in arbitrary dimensions
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• Unifying the PST and the auxiliary tensor field formulations of 4D self-duality
• Duality Symmetries in Non-Linear Gauge Theories
• Covariant M5-brane action with self-dual 3-form
• Quantization of the ModMax Oscillator
• Infinite $\mathrm{T}\bar{\mathrm{T}}$-like symmetries of compactified LST
• Unifying Approaches to Chiral Bosons
• M5-brane in the superspace approach
• ModMax Oscillators and Root-$T\overline{T}$-Like Flows in Supersymmetric Quantum Mechanics
• On Lagrangian approach to self-dual gauge fields in spacetime of nontrivial topology
• $T\overline{T}$-Like Flows and $3d$ Nonlinear Supersymmetry
• Manifestly duality-invariant interactions in diverse dimensions
• $T\overline{T}$ Deformations of nonrelativistic models
• A supersymmetric nonlinear sigma model analogue of the ModMax theory
• Irrelevant Deformations of Chiral Bosons
• Double dimensional reduction of M5-brane action in Sen formalism
• Renormalisation in $\text{T}\bar{\text{T}}$-Deformed (Non-)Integrable Theories
• Non-linear Electrodynamics from Massive Gravity
• New Approach to Duality-Invariant Nonlinear Electrodynamics
• Supersymmetrizing the Pasti-Sorokin-Tonin action
• Manifestly Covariant Polynomial M5-brane Lagrangians
• Self-duality for $\mathcal{N}$-extended superconformal gauge multiplets

Cited by in corpus (7)

• Geometric formulation of generalized root-$T\bar{T}$ deformations
• Infinite Family of Integrable Sigma Models Using Auxiliary Fields
• Flows in the Space of Interacting Chiral Boson Theories
• Waves and strings in an interacting conformal chiral 2-form theory in six dimensions
• Root-$T\overline{T}$ deformed CFT partition functions at large central charge
• Field-Dependent Metrics and Higher-Form Symmetries in Duality-Invariant Theories of Non-Linear Electrodynamics
• On $\sqrt{T\overline{T}}$ deformed pathways: CFT to CCFT