A Simple Worldsheet Black Hole

Abstract

We study worldsheet theory of confining strings in two-dimensional massive adjoint QCD. Similarly to confining strings in higher dimensions this theory exhibits a non-trivial $S$-matrix surviving even in the strict planar limit. In the process of two-particle scattering a zigzag is formed on the worldsheet. It leads to an interesting non-locality and exhibits some properties of a quantum black hole. Ordinarily, identical quantum particles do not carry identity. On the worldsheet they acquire off-shell identity due to strings attached. Identity implies complementarity. We discuss similarities and differences of the worldsheet scattering with the $T\bar{T}$ deformation. We also propose a promising candidate for a supersymmetric model with integrable confining strings.

30 pages, 8 figures; v2: refs updated, typos corrected, several comments added

References in corpus (16)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• SU(N) gauge theories at large N
• Solving the Simplest Theory of Quantum Gravity
• An integrable Lorentz-breaking deformation of two-dimensional CFTs
• Holography Beyond AdS
• Effective String Theory Revisited
• Glueball masses in the large N limit
• Closed flux tubes and their string description in D=3+1 SU(N) gauge theories
• $T\bar{T}$-deformations, AdS/CFT and correlation functions
• Flux Tube Spectra from Approximate Integrability at Low Energies
• The Black Hole Information Problem
• Comments on $T\bar{T}$ double trace deformations and boundary conditions
• SU(N) gauge theories in 2+1 dimensions: glueball spectra and k-string tensions
• Yang--Mills Glueballs as Closed Bosonic Strings
• Quantizing the rotating string with massive endpoints

Cited by in corpus (21)

• Symmetries and Strings of Adjoint QCD${}_2$
• $T\bar{T}$ Partition Function from Topological Gravity
• Entanglement Beyond $\mathrm{AdS}$
• $J\bar{T}$ deformed $CF{T}_2$ and String Theory
• A symmetry algebra in double-scaled SYK
• Entanglement Entropy for $TT$ deformed CFT in general dimensions
• Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD
• Wilson loop in a $T\bar{T}$ like deformed ${\mathrm{CFT}}_2$
• Exact Symmetries and Threshold States in Two-Dimensional Models for QCD
• $T\bar{T}$ type deformation in the presence of a boundary
• Confining Strings, Infinite Statistics and Integrability
• Topological Gauging and Double Current Deformations
• Classical Integrability of the Zigzag Model
• Comments on $T\bar{T}$, $J\bar{T}$ and String Theory
• The QCD $\beta$-function On The String Worldsheet
• 2d QCD and Integrability, Part I: 't Hooft model
• Quantization of the Zigzag Model
• Comments on 1+1d QCD with heavy adjoint quarks
• From QCD Strings to WZW
• Universal Deformations
• Classical string correspondence in $2$ and $3$ spacetime dimensions