Manifestly Lorentz Invariant Chiral Boson Action

Area of Science:

• Theoretical Physics
• String Theory
• Quantum Field Theory

Background:

• The Floreanini-Jackiw chiral boson is a theoretical construct in 2D field theory.
• Existing formulations lacked manifest Lorentz invariance, posing challenges for certain physical applications.
• Understanding chiral dynamics is crucial for string theory and related areas.

Purpose of the Study:

• To derive a manifestly Lorentz invariant action for the Floreanini-Jackiw chiral boson.
• To explore the applicability of the derived method to string theory and higher-dimensional theories.
• To generalize the findings to a broader class of conformal chiral electrodynamics.

Main Methods:

• A novel chiral reduction technique applied to the phase-space action of a string.
• Adaptation of the string theory method to describe chiral bosons on the heterotic string worldsheet.
• Extension of the methodology to a class of conformal chiral 2k-form electrodynamics in (4k+2) dimensions.

Main Results:

• A manifestly Lorentz invariant action was successfully formulated for the Floreanini-Jackiw chiral boson.
• The method demonstrated adaptability for describing chiral bosons on the heterotic string worldsheet.
• A similar Lorentz invariant action was derived for conformal chiral 2k-form electrodynamics, encompassing the Floreanini-Jackiw theory (k=0).

Conclusions:

• The developed method provides a robust framework for handling chiral bosons with manifest Lorentz invariance.
• This approach offers new possibilities for studying heterotic string theory and related phenomena.
• The generalization to higher dimensions opens avenues for exploring new classes of field theories.