Behavior of boundary string field theory associated with integrable massless flow

Area of Science:

• Theoretical Physics
• String Theory
• Quantum Field Theory

Background:

• Integrable systems and conformal field theories are crucial in understanding quantum phenomena.
• Thermodynamic Bethe ansatz (TBA) is a powerful tool for studying quantum systems out of equilibrium.
• String field theory describes the interactions of strings, fundamental objects in string theory.

Purpose of the Study:

• To propose an identification between boundary entropy in integrable systems and tachyon action in string theory.
• To explore the relationship between thermodynamic Bethe ansatz (TBA) and boundary string field theory.
• To investigate the physical interpretation of parameters in these theoretical frameworks.

Main Methods:

• Utilizing the thermodynamic Bethe ansatz (TBA) formalism for integrable massless flows.
• Applying concepts from boundary string field theory, specifically tachyon action.
• Analyzing the behavior of the system near the ultraviolet fixed point (open string vacuum).

Main Results:

• The boundary entropy associated with TBA massless flow is identified with the tachyon action of boundary string field theory.
• Temperature in the TBA formalism is shown to correspond to tachyon energy.
• This correspondence holds for the classical action near the open string vacuum.

Conclusions:

• A significant connection is established between concepts in integrable systems and string theory.
• The findings provide a new perspective on the interpretation of TBA parameters within string theory.
• This research opens avenues for further exploration of dualities between different theoretical frameworks.