Batalin-Vilkovisky Formulation of N=1 Supergravity in Ten Dimensions

Area of Science:

• Theoretical Physics
• High-Energy Physics
• String Theory

Background:

• Supergravity theories are crucial for unifying gravity with other fundamental forces.
• Ten-dimensional supergravity is a key component of M-theory and superstring theory.
• The Batalin-Vilkovisky formalism is a powerful method for quantizing gauge theories.

Purpose of the Study:

• To present the full Batalin-Vilkovisky (BV) action.
• To formulate this action in the component field formalism.
• To describe N=1 supergravity in ten dimensions coupled to Yang-Mills multiplets.

Main Methods:

• Component field formalism
• Batalin-Vilkovisky formalism
• Gauge theory quantization

Main Results:

• A complete Batalin-Vilkovisky action has been derived.
• The action is expressed in terms of component fields.
• The formulation successfully couples N=1 supergravity in ten dimensions with Yang-Mills multiplets.

Conclusions:

• The presented action provides a concrete framework for studying quantum aspects of ten-dimensional supergravity.
• This work facilitates further investigations into non-perturbative effects in supergravity and Yang-Mills theories.
• The component field formulation simplifies calculations and analysis within this theoretical framework.