Quantum Deformations of the Self-Duality Equation and Conformal Twistors

Details Quantum Deformations of the Self-Duality Equation and Conformal Twistors Quantum Deformations of the Self-Duality Equation and Conformal Twistors

1995-09-12

arxiv.org/abs/q-alg/9509014v1

Mathematics

Quantum Algebra

Latex file, 13 pages

Scientific paper

A noncommutative algebra of the complex $q$-twistors and their differentials is considered on the basis of the quantum $GL_q (4)\times SL_q (2)$ group. Real and pseudoreal $q$-twistors are discussed too. We consider the quantum-group self-duality equation in the framework of the local gauge algebra of differential forms on $q$-twistor spaces. Quantum deformations of the general multi-instanton solutions are constructed. The corresponding noncommutative algebras of moduli are introduced. The general $q$-instanton connection is a function of the $q$-twistors and the $q$-moduli .

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