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The selfduality equations on a Riemann surface
 Proc. Lond. Math. Soc., III. Ser
, 1987
"... In this paper we shall study a special class of solutions of the selfdual YangMills equations. The original selfduality equations which arose in mathematical physics were defined on Euclidean 4space. The physically relevant solutions were the ones with finite action—the socalled 'instanton ..."
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Cited by 524 (6 self)
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In this paper we shall study a special class of solutions of the selfdual YangMills equations. The original selfduality equations which arose in mathematical physics were defined on Euclidean 4space. The physically relevant solutions were the ones with finite action—the socalled &apos
of the SelfDuality Equations
"... Abstract. We find all null conformal Killing vectors in R 4 with the metric dtdu − dxdy. We classify 1 and 2dimensional totally null algebras generated by such vectors. Reductions of the selfdual YangMills equations are obtained for gauge fields invariant with respect to these algebras. 1. ..."
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Abstract. We find all null conformal Killing vectors in R 4 with the metric dtdu − dxdy. We classify 1 and 2dimensional totally null algebras generated by such vectors. Reductions of the selfdual YangMills equations are obtained for gauge fields invariant with respect to these algebras. 1.
Geometric quantization of the moduli space of the SelfDuality equations on a Riemann surface
 Rep. Math. Phys
"... Abstract. The selfduality equations on a Riemann surface arise as dimensional reduction of selfdual YangMills equations. Hitchin had showed that the moduli space M of solutions of the selfduality equations on a compact Riemann surface of genus g> 1 has a hyperKähler structure. In particular M ..."
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Cited by 5 (5 self)
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Abstract. The selfduality equations on a Riemann surface arise as dimensional reduction of selfdual YangMills equations. Hitchin had showed that the moduli space M of solutions of the selfduality equations on a compact Riemann surface of genus g> 1 has a hyperKähler structure. In particular
SOLUTION OF SELFDUALITY EQUATION IN QUANTUMGROUP GAUGE THEORY AND QUANTUM HARMONICS
, 1994
"... We discuss the gauge theory for quantum group SUq(2) × U(1) on the quantum Euclidean space. This theory contains three physical gauge fields and one U(1)−gauge field with a zero field strength. We construct the quantumgroup selfduality equation (QGSDE) in terms of differential forms and with the ..."
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We discuss the gauge theory for quantum group SUq(2) × U(1) on the quantum Euclidean space. This theory contains three physical gauge fields and one U(1)−gauge field with a zero field strength. We construct the quantumgroup selfduality equation (QGSDE) in terms of differential forms
DIFFERENTIAL CALCULUS ON THE QUANTUM SPHERE AND DEFORMED SELFDUALITY EQUATION
, 1994
"... We discuss the leftcovariant 3dimensional differential calculus on the quantum sphere SUq(2)/U(1). The SUq(2)spinor harmonics are treated as coordinates of the quantum sphere. We consider the gauge theory for the quantum group SUq(2)×U(1) on the deformed Euclidean space Eq(4). A qgeneralization ..."
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generalization of the harmonicgaugefield formalism is suggested. This formalism is applied for the harmonic (twistor) interpretation of the quantumgroup selfduality equation (QGSDE). We consider the zerocurvature representation and the general construction of QGSDEsolutions in terms of the analytic prepotential.
On the dressing method for Dunajski antiselfduality equation
, 2008
"... A dressing scheme applicable to Dunajski equation is developed. Simple example of constructing solutions in terms of implicit functions is considered. Dunajski equation hierarchy is described, its LaxSato form is presented. Dunajsky equation hierarchy is characterised by conservation of threedimen ..."
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Cited by 6 (2 self)
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Θxydwdz. (1) The conformal antiselfduality (ASD) condition leads to Dunajski equation
Multigluon Tree Amplitudes and SelfDuality Equation K.G.Selivanov
, 1996
"... A generating function for a class of multigluon amplitudes is constructed as a particular solution of the selfduality equation. 1. Recently, there has been developed an interesting activity based on the fact that a soliton solution in a generic massive field theory happens to be a generating functi ..."
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A generating function for a class of multigluon amplitudes is constructed as a particular solution of the selfduality equation. 1. Recently, there has been developed an interesting activity based on the fact that a soliton solution in a generic massive field theory happens to be a generating
Killing vectors and reductions of the selfduality equations, Nonlinearity 11
, 1998
"... Abstract. We nd all null conformal Killing vectors in R 4 with the metric dtdu dxdy. We classify 1 and 2dimensional totally null algebras generated by such vectors. Reductions of the selfdual YangMills equations are obtained for gauge elds invariant with respect to these algebras. ..."
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Cited by 5 (0 self)
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Abstract. We nd all null conformal Killing vectors in R 4 with the metric dtdu dxdy. We classify 1 and 2dimensional totally null algebras generated by such vectors. Reductions of the selfdual YangMills equations are obtained for gauge elds invariant with respect to these algebras.
Preprint JINR E295393 QUANTUM DEFORMATIONS OF THE SELFDUALITY EQUATION AND CONFORMAL TWISTORS
, 1995
"... Abstract. A noncommutative algebra of the complex qtwistors and their differentials is considered on the basis of the quantum GLq(4) × SLq(2) group. Real and pseudoreal qtwistors are discussed too. We consider the quantumgroup selfduality equation in the framework of the local gauge algebra of ..."
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Abstract. A noncommutative algebra of the complex qtwistors and their differentials is considered on the basis of the quantum GLq(4) × SLq(2) group. Real and pseudoreal qtwistors are discussed too. We consider the quantumgroup selfduality equation in the framework of the local gauge algebra
PAR–LPTHE 98–01 CERN–TH 98–04 ON GENERALIZED SELFDUALITY EQUATIONS TOWARDS SUPERSYMMETRIC QUANTUM FIELD THEORIES OF FORMS
, 1998
"... We classify possible “selfduality ” equations for pform gauge fields in spacetime dimension up to D = 16, generalizing the pioneering work of Corrigan et al. (1982) on YangMills fields (p = 1) in 4 < D ≤ 8. We impose two crucial requirements. First, there should exist a 2(p + 1)form T invari ..."
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We classify possible “selfduality ” equations for pform gauge fields in spacetime dimension up to D = 16, generalizing the pioneering work of Corrigan et al. (1982) on YangMills fields (p = 1) in 4 < D ≤ 8. We impose two crucial requirements. First, there should exist a 2(p + 1)form
Results 1  10
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55,333