Noncommutative Nonlinear Supersymmetry
Hitoshi Nishino, Subhash Rajpoot
TL;DR
This paper develops noncommutative nonlinear supersymmetric theories, including a non-polynomial Akulov-Volkov-type Lagrangian and a Dirac-Born-Infeld Lagrangian, in various space-time dimensions.
Contribution
It introduces the first noncommutative nonlinear supersymmetric models, extending supersymmetry to noncommutative geometries in multiple dimensions.
Findings
Constructed noncommutative nonlinear supersymmetric Lagrangians.
Extended supersymmetry to Dirac-Born-Infeld models in multiple dimensions.
Demonstrated consistency of noncommutative supersymmetric theories.
Abstract
We present noncommutative nonlinear supersymmetric theories. The first example is a non-polynomial Akulov-Volkov-type lagrangian with noncommutative nonlinear global supersymmetry in arbitrary space-time dimensions. The second example is the generalization of this lagrangian to Dirac-Born-Infeld lagrangian with nonlinear supersymmetry realized in dimensions D=2,3,4, 6 and 10.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories · Cosmology and Gravitation Theories