D3-Branes Wrapped on a Spindle

Area of Science:

• Theoretical Physics
• String Theory
• Supergravity

Background:

• Minimal gauged supergravity in D=5 provides a framework for studying higher-dimensional theories.
• Supersymmetric solutions are crucial for understanding the structure of supergravity and its dual field theories.

Purpose of the Study:

• To construct novel supersymmetric Anti-de Sitter (AdS) solutions in five-dimensional (D=5) minimal gauged supergravity.
• To investigate the uplift of these solutions to type IIB supergravity on specific manifolds.
• To explore the dual two-dimensional (d=2) superconformal field theories (SCFTs).

Main Methods:

• Construction of supersymmetric AdS_{3}×Σ solutions in D=5 minimal gauged supergravity.
• Uplifting these solutions to type IIB supergravity on S^{5} and Sasaki-Einstein manifolds.
• Calculation of central charges for the gravity solutions and comparison with field theory results.

Main Results:

• Successfully constructed supersymmetric AdS_{3}×Σ solutions, where Σ is a spindle orbifold.
• Demonstrated that these solutions smoothly uplift to type IIB supergravity on S^{5} and other Sasaki-Einstein manifolds.
• Confirmed the duality to d=2, N=(0,2) SCFTs and showed agreement in central charge calculations.

Conclusions:

• The study establishes a concrete connection between specific supergravity solutions and d=2 SCFTs.
• The findings validate the AdS/CFT correspondence in this novel context.
• This work provides a new avenue for studying quantum field theories through their gravitational duals.