Supersymmetry and $T\overline{T}$ Deformations

Abstract

We propose a manifestly supersymmetric generalization of the solvable $T\overline{T}$ deformation of two-dimensional field theories. For theories with $(1,1)$ and $(0,1)$ supersymmetry, the deformation is defined by adding a term to the superspace Lagrangian built from a superfield containing the supercurrent. We prove that the energy levels of the resulting deformed theory are determined exactly in terms of those of the undeformed theory. This supersymmetric deformation extends to higher dimensions, where we conjecture that it might provide a higher-dimensional analogue of $T\overline{T}$, producing supersymmetric Dirac or Dirac-Born-Infeld actions in special cases.

arXiv comment32 pages; LaTeX; references and an acknowledgement added

References in corpus (20)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Asymptotic Fragility, Near $Ad{S}_2$ Holography and $T\bar{T}$
• The $T\overline{T}$ deformation of quantum field theory as random geometry
• $T\bar{T}$ Partition Function from Topological Gravity
• Holography at finite cutoff with a $T^2$ deformation
• Modular invariance and uniqueness of $T\bar{T}$ deformed CFT
• $T\bar{T}$-deformations in closed form
• Supercurrents and Brane Currents in Diverse Dimensions
• Generalised Born-Infeld models, Lax operators and the $\text{T}\bar{\text{T}}$ perturbation
• Strings on NS-NS Backgrounds as Integrable Deformations
• Constraints From Extended Supersymmetry in Quantum Mechanics
• Supersymmetry and Higher Derivative Terms in the Effective Action of Yang-Mills Theories
• Expectation value of composite field $T\bar{T}$ in two-dimensional quantum field theory
• TT deformations in general dimensions
• Modular covariance and uniqueness of $J\bar{T}$ deformed CFTs
• Duality constraints on effective actions
• M5-Brane and D-Brane Scattering Amplitudes
• Exact coefficients for higher dimensional operators with sixteen supersymmetries
• On Higher Derivative Couplings in Theories with Sixteen Supersymmetries

Cited by in corpus (66)

• $T\bar{T}$ and the mirage of a bulk cutoff
• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• $T\overline{T}$ in AdS${}_2$ and Quantum Mechanics
• On $T\bar{T}$ deformations and supersymmetry
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
• Conserved currents and $\text{T}{\bar{\text{T}}}_s$ irrelevant deformations of 2D integrable field theories
• Root-$T\overline{T}$ Deformations in Two-Dimensional Quantum Field Theories
• Sphere partition functions and cut-off AdS
• Entanglement and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• Correlation functions of the CFTs on torus with $T\bar{T}$ deformation
• $T\bar{T}$ deformations with $\mathcal{N}=(0,2)$ supersymmetry
• $T\bar{T}$-Deformed Actions and (1,1) Supersymmetry
• $T\bar{T}$ Flows and (2,2) Supersymmetry
• Integrability and Renormalization under $T\bar{T}$
• $T\bar{T}$ deformations and integrable spin chains
• $T\overline{T}$, $\tilde{J}J$, $JT$ and $\tilde{J}T$ deformations
• Flow equations for generalised $T\bar{T}$ deformations
• $T\bar{T}$ deformations as TsT transformations
• The correlation function of (1,1) and (2,2) supersymmetric theories with $T\bar{T}$ deformation
• $T\bar{T}$-like Flows in Non-linear Electrodynamic Theories and S-duality
• Duality-Invariant Non-linear Electrodynamics and Stress Tensor Flows
• Expectation value of $\mathrm{T}\overline{\mathrm{T}}$ operator in curved spacetimes
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• On the Classical Integrability of Root-$T\overline{T}$ Flows
• Non-Linear Supersymmetry and $T\bar{T}$-like Flows
• $T\bar{T}$ in JT Gravity and BF Gauge Theory
• Interacting Chiral Form Field Theories and $T\overline{T}$-like Flows in Six and Higher Dimensions
• Infinite pseudo-conformal symmetries of classical $T\bar{T}$, $J\bar{T}$ and $J{T}_a$ - deformed CFTs
• Entanglement entropy and $T\bar{T}$ deformations beyond antipodal points from holography
• Non-relativistic duality and $T\bar{T}$ deformations
• A Non-Abelian Analogue of DBI from $T\overline{T}$
• Heating up holography for single-trace $J\bar{T}$ deformations
• Sequential Flows by Irrelevant Operators
• Glue-on AdS holography for $T\bar{T}$-deformed CFTs
• Root-$T\overline{T}$ Deformed Boundary Conditions in Holography
• Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry
• $T\bar{T}$-flow effects on torus partition functions
• TTbar deformation and the light-cone gauge
• Supersymmetric $J\bar{T}$ and $T\bar{J}$ deformations
• Matrix Theory Reloaded: A BPS Road to Holography
• Very Special $T\bar{J}$ deformed CFT
• The 2D Volkov-Akulov model as a $T\bar{T}$ deformation
• $T\overline{T}$ deformation in SCFTs and integrable supersymmetric theories
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• $T\bar{T}$-deformation and Liouville gravity
• Maximally Supersymmetric RG Flows in 4D and Integrability
• ModMax Oscillators and Root-$T\overline{T}$-Like Flows in Supersymmetric Quantum Mechanics
• $T\overline{T}$-Like Flows and $3d$ Nonlinear Supersymmetry
• $T\bar{T}$ deformed YM${}_2$ on general backgrounds from an integral transformation
• $T\overline{T}$ Deformations of nonrelativistic models
• $T\overline{T}$-deformation of $q$-Yang-Mills theory
• Flows in the Space of Interacting Chiral Boson Theories
• Exact $T\overline{T}$ deformation of two-dimensional Maxwell theory
• Deforming the ODE/IM correspondence with $\mathrm{T}\bar{\mathrm{T}}$
• Holographic Dual of Conformal Field Theories with Very Special $T\bar{J}$ Deformations
• $T\bar{T}$-deformed Fermionic Theories Revisited
• Irrelevant Deformations of Chiral Bosons
• Renormalisation in $\text{T}\bar{\text{T}}$-Deformed (Non-)Integrable Theories
• Supersymmetric black holes and $T\bar{T}$ deformation
• Chiral Decoupling from Irrelevant Deformations
• Holographic Entanglement Entropy in $T\bar{T}$-deformed CFTs
• Note on higher-point correlation functions of the $T\bar{T}$ or $J\bar{T}$ deformed CFTs
• Properties of multiple D0-brane system: 11D origin, equations of motion and their solutions
• $T\bar{T}$ deformations and the pp wave correspondence
• Metric approach to a $\mathrm{T}\bar{\mathrm{T}}-$like deformation in arbitrary dimensions
• On Current-Squared Flows and ModMax Theories