From QCD Strings to WZW

Abstract

According to the Axionic String Anstaz (ASA) confining flux tubes in pure gluodynamics are in the same equivalence class as a new family of integrable non-critical strings, called axionic strings. In addition to translational modes, axionic strings carry a set of worldsheet axions transforming as an antisymmetric tensor under the group of transverse rotations. We initiate a study of integrable axionic strings at general number of space-time dimensions $D$. We show that in the infinite tension limit worldsheet axions should be described by a peculiar "pseudofree" theory---their $S$-matrix is trivial, but the corresponding action cannot be brought into a free form by a local field redefinition. This requirement fixes the axionic action to take a form of the $O(D-2)$ Wess--Zumino--Witten (WZW) model.

28 pages, 13 figures

References in corpus (32)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• The Bethe-Ansatz for N=4 Super Yang-Mills
• High energy QCD as a completely integrable model
• Solving the Simplest Theory of Quantum Gravity
• Baryon Distribution Amplitudes in QCD
• The wall of the cave
• The Effective Theory of Long Strings
• Effective String Theory Revisited
• Bethe Ansatz for QCD Pomeron,
• Evidence for a new particle on the worldsheet of the QCD flux tube
• Closed flux tubes and their string description in D=3+1 SU(N) gauge theories
• Flux Tube Spectra from Approximate Integrability at Low Energies
• New Integrable Structures in Large-N QCD
• (Re-)Inventing the Relativistic Wheel: Gravity, Cosets, and Spinning Objects
• One-Loop QCD Spin Chain and its Spectrum
• SU(N) gauge theories in 2+1 dimensions: glueball spectra and k-string tensions
• String Theory of the Regge Intercept
• Towards a Theory of the QCD String
• Undressing Confining Flux Tubes with $T\bar{T}$
• Looking for Integrability on the Worldsheet of Confining Strings
• Yang--Mills Glueballs as Closed Bosonic Strings
• Closed flux tubes in D=2+1 SU(N) gauge theories: dynamics and effective string description
• A Simple Worldsheet Black Hole
• Closed flux tubes in higher representations and their string description in D=2+1 SU(N) gauge theories
• High Energy QCD: Stringy Picture from Hidden Integrability
• On the mass of the world-sheet `axion' in SU(N) gauge theories in 3+1 dimensions
• No Particle Production in Two Dimensions: Recursion Relations and Multi-Regge Limit
• Supersymmetric integrable theories from no particle production
• On the large N limit of matrix integrals over the orthogonal group
• The QCD $\beta$-function On The String Worldsheet
• Fermions on the Worldsheet of Effective Strings via Coset Construction

Cited by in corpus (2)

• Confining Strings, Infinite Statistics and Integrability
• Boundary correlators in WZW model on AdS${}_2$