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Equivalence of Projections as Gauge Equivalence on Noncommutative
 Space”, Commun. Math. Phys
"... Projections play crucial roles in the ADHM construction on noncommutative R 4. In this article a framework for the description of equivalence relations between projections is proposed. We treat the equivalence of projections as “gauge equivalence ” on noncommutative space. We find an interesting app ..."
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Cited by 25 (1 self)
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Projections play crucial roles in the ADHM construction on noncommutative R 4. In this article a framework for the description of equivalence relations between projections is proposed. We treat the equivalence of projections as “gauge equivalence ” on noncommutative space. We find an interesting
On the Lakshmanan and gauge equivalent counterpart of the
, 1998
"... The Lakshmanan equivalent counterparts of the some Myrzakulov equations are found. 1 Preprint CNLP199409.AlmaAta.1994 ..."
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The Lakshmanan equivalent counterparts of the some Myrzakulov equations are found. 1 Preprint CNLP199409.AlmaAta.1994
Quantum Gauge Equivalence in QED
"... We discuss gauge transformations in QED coupled to a charged spinor field, and examine whether we can gaugetransform the entire formulation of the theory from one gauge to another, so that not only the gauge and spinor fields, but also the ..."
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We discuss gauge transformations in QED coupled to a charged spinor field, and examine whether we can gaugetransform the entire formulation of the theory from one gauge to another, so that not only the gauge and spinor fields, but also the
Gauge equivalence of Dirac structures and symplectic groupoids
 Ann. Inst. Fourier (Grenoble
"... We study gauge transformations of Dirac structures and the relationship between gauge and Morita equivalences of Poisson manifolds. We describe how the symplectic structure of a symplectic groupoid is affected by a gauge transformation of the Poisson structure on its identity section, and prove that ..."
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Cited by 59 (11 self)
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We study gauge transformations of Dirac structures and the relationship between gauge and Morita equivalences of Poisson manifolds. We describe how the symplectic structure of a symplectic groupoid is affected by a gauge transformation of the Poisson structure on its identity section, and prove
Comments on gauge equivalence in noncommutative geometry,” JHEP 9911
, 1999
"... We investigate the transformation from ordinary gauge field to noncommutative one which was introduced by N. Seiberg and E. Witten (hepth/9908142). It is shown that the general transformation which is determined only by gauge equivalence has a path dependence in ‘θspace’. This ambiguity is negligi ..."
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Cited by 30 (0 self)
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We investigate the transformation from ordinary gauge field to noncommutative one which was introduced by N. Seiberg and E. Witten (hepth/9908142). It is shown that the general transformation which is determined only by gauge equivalence has a path dependence in ‘θspace’. This ambiguity
Gauge Equivalence and Inverse Scattering for AharonovBohm Effect
, 2009
"... We consider the AharonovBohm effect for the Schrödinger operator H = (−i∇x − A(x)) 2 +V (x) and the related inverse problem in an exterior domain Ω in R 2 with Dirichlet boundary condition. We study the structure and asymptotics of generalized eigenfunctions and show that the scattering operator d ..."
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Cited by 7 (1 self)
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determines the domain Ω and H up to gauge equivalence under the equal flux condition. We also show that the flux is determined by the scattering operator if the obstacle Ω c is convex.
Gauge equivalent universes in 5d KaluzaKlein theory ∗
, 2002
"... We examine in the framework of 5d KaluzaKlein theory the gauge equivalence of x 5dependent cosmological solutions each of which describes in the 4d sector an arbitrarily evolving isotropic, homogeneous universe with some pure gauge. We find that (1)within a certain time scale τc (which is characte ..."
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We examine in the framework of 5d KaluzaKlein theory the gauge equivalence of x 5dependent cosmological solutions each of which describes in the 4d sector an arbitrarily evolving isotropic, homogeneous universe with some pure gauge. We find that (1)within a certain time scale τc (which
ChernSimons Gauge Theory as a String Theory
, 2003
"... Certain two dimensional topological field theories can be interpreted as string theory backgrounds in which the usual decoupling of ghosts and matter does not hold. Like ordinary string models, these can sometimes be given spacetime interpretations. For instance, threedimensional ChernSimons gaug ..."
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Cited by 551 (14 self)
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Simons gauge theory can arise as a string theory. The worldsheet model in this case involves a topological sigma model. Instanton contributions to the sigma model give rise to Wilson line insertions in the spacetime ChernSimons theory. A certain holomorphic analog of ChernSimons theory can also arise as a
Soliton Solutions, Liouville Integrability and Gauge Equivalence of Sasa Satsume Equation
"... Exact integrability of the Sasa Satsuma equation (SSE) in the Liouville sense is established by showing the existence of an infinite set of conservation laws. The explicit form of the conserved quantities in terms of the fields are obtained by solving the Riccati equation for the associated 3×3 Lax ..."
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Cited by 3 (3 self)
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operator. The soliton solutions, in particular, one and two soliton solutions, are constructed by the Hirota’s bilinear method. The one soliton solution is also compared with that found through the inverse scattering method. The gauge equivalence of the SSE with a generalized Landau Lifshtz equation
Results 1  10
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234,926