Towards an Ashtekar Formalism in Twelve Dimensions

Abstract

We discuss the Ashtekar formalism from the point of view of twelve dimensions. We first focus on the 2+10 spacetime signature and then we consider the transition $2+10\to (2+2)+(0+8)$. We argue that both sectors 2+2 and 0+8, which are exceptional signatures, can be analyzed from the point of view of a self-dual action associated with the Ashtekar formalism.

13 pages, Latex; some improvements introduced, reference added, typos corrected

References in corpus (6)

• Towards an Ashtekar formalism in eight dimensions
• A quantization of topological M theory
• Toward a Connection between the Oriented Matroid Theory and Supersymmetry
• Chirotope Concept in Various Scenarios of Physics
• Oriented Matroid Theory as a Mathematical Framework for M-Theory
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Cited by in corpus (5)

• New Variables for Classical and Quantum Gravity in all Dimensions I. Hamiltonian Analysis
• New Variables for Classical and Quantum Gravity in all Dimensions II. Lagrangian Analysis
• Superfield Description of a Self-Dual Supergravity a la MacDowell-Mansouri
• Alternative Self-dual Gravity in Eight Dimensions
• Canonical gravity in two time and two space dimensions