Noninvertible Symmetries from Holography and Branes

Area of Science:

• Theoretical Physics
• High Energy Physics
• String Theory

Background:

• Holography provides a powerful framework for studying quantum field theories.
• Symmetry generators are fundamental to understanding quantum field theories.
• Non-invertible symmetries represent a recent and significant development in quantum field theory.

Purpose of the Study:

• To develop a systematic approach for deriving symmetry generators in holographic quantum field theories.
• To explore the connection between Gauss law constraints and symmetry generators.
• To investigate non-invertible symmetries within the holographic context.

Main Methods:

• Utilizing Gauss law constraints from Hamiltonian quantization of symmetry topological field theories (SymTFTs).
• Deriving symmetry generators from supergravity and world-volume theories of D-branes.
• Applying the framework to the holographic confinement setup, specifically 4D N=1 Super-Yang Mills.

Main Results:

• A systematic method for deriving symmetry generators in holography has been established.
• Gauss law constraints are identified as central to this derivation.
• Non-invertible symmetries are realized through D-brane dynamics, including the Myers effect and Hanany-Witten effect.

Conclusions:

• The proposed approach successfully derives symmetry generators, including non-invertible ones, in holographic settings.
• D-brane physics provides a concrete realization of these symmetries and their associated phenomena.
• This work offers new insights into the nature of symmetries in quantum field theories.