dorsal/arxiv
View SchemaQuantum Deformations of the Self-Duality Equation and Conformal Twistors
| Authors | B. M. Zupnik |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9509014 |
| URL | https://arxiv.org/abs/q-alg/9509014 |
Abstract
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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"abstract": "A noncommutative algebra of the complex $q$-twistors and their differentials\nis considered on the basis of the quantum $GL_q (4)\\times SL_q (2)$ group. Real\nand pseudoreal $q$-twistors are discussed too. We consider the quantum-group\nself-duality equation in the framework of the local gauge algebra of\ndifferential forms on $q$-twistor spaces. Quantum deformations of the general\nmulti-instanton solutions are constructed. The corresponding noncommutative\nalgebras of moduli are introduced. The general $q$-instanton connection is a\nfunction of the $q$-twistors and the $q$-moduli .",
"arxiv_id": "q-alg/9509014",
"authors": [
"B. M. Zupnik"
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"q-alg",
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"title": "Quantum Deformations of the Self-Duality Equation and Conformal Twistors",
"url": "https://arxiv.org/abs/q-alg/9509014"
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