Boundary Carrollian Conformal Field Theories and Open Null Strings

Area of Science:

• Theoretical Physics
• High Energy Physics
• String Theory

Background:

• Carrollian symmetries are gaining relevance in theoretical physics.
• Understanding boundary algebras is crucial for developing new theoretical frameworks.
• Conformal field theories provide a powerful tool for studying critical phenomena.

Purpose of the Study:

• To construct the boundary Carrollian conformal algebra (BCCA) in two dimensions.
• To explore the relationship between the Virasoro algebra and the BCCA.
• To apply the BCCA to the construction of open null strings.

Main Methods:

• Contracting a single copy of the Virasoro algebra to obtain the BCCA.
• Constructing open null strings with Dirichlet boundary conditions.
• Taking the null limit of tensile open strings to reconstruct string results.

Main Results:

• Successfully constructed the boundary Carrollian conformal algebra (BCCA).
• Demonstrated that the BCCA emerges from the contraction of the Virasoro algebra.
• For the first time, constructed open null strings and recovered the BCCA as the algebra of constraints under Dirichlet boundary conditions.

Conclusions:

• The BCCA is a significant new algebraic structure with potential for diverse applications.
• The study establishes a concrete link between Carrollian symmetries and string theory.
• The findings pave the way for further investigations into Carrollian conformal field theories and their physical implications.