Masaru Kamata

Publications (8)0 Total impact

• Article: Aspects of q-discretized Nahm equations.

  Masaru Kamata, Atsushi Nakamula
  Mathematics and Computers in Simulation. 01/2009; 80:674-681.
• Source

  Available from: Atsushi Nakamula

  Article: Riemann-Liouville integrals of fractional order and extended KP hierarchy

  Masaru Kamata, Atsushi Nakamula
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  ABSTRACT: An attempt is given to formulate the extensions of the KP hierarchy by introducing fractional order pseudo-differential operators. In the case of the extension with the half-order pseudo-differential operators, a system analogous to the supersymmetric extensions of the KP hierarchy is obtained. Unlike the supersymmetric extensions, no Grassmannian variable appears in the hierarchy considered here. More general hierarchies constructed by the 1/N-th order pseudo-differential operators, their integrability and the reduction procedure are also investigated. In addition to finding out the new extensions of the KP hierarchy, brief introduction to the Riemann-Liouville integral is provided to yield a candidate for the fractional order pseudo-differential operators.
  08/2002;
• Article: A q-analogue of the ADHMN construction and the axisymmetric multi-instantons

  Masaru Kamata, Atsushi Nakamula
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  ABSTRACT: In the preceding paper, the present authors presented a q-analogue of the ADHMN construction and obtained a family of anti-selfdual configurations with a parameter q for classical SU(2) Yang-Mills theory in four-dimensional Euclidean space. The family of solutions can be seen as a q-analogue of the single BPS monopole preserving (anti-)selfduality. Further discussion is given of the relation to the axisymmetric ansatz on the anti-selfdual equation given by Witten in the late 1970s. It is found that the q-exponential functions familiar in q-analysis appear as analytic functions categorizing the anti-selfdual configurations yielded by the axisymmetric ansatz.
  Journal of Physics A General Physics 11/2001; 34(48):10441.
• Source

  Available from: Atsushi Nakamula

  Article: A q-analog of the ADHMN construction and axisymmetric multi-instantons

  Masaru Kamata, Atsushi Nakamula
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  ABSTRACT: In the preceding paper (Phys. Lett. B463 (1999) 257), the authors presented a q-analog of the ADHMN construction and obtained a family of anti-selfdual configurations with a parameter q for classical SU(2) Yang-Mills theory in four-dimensional Euclidean space. The family of solutions can be seen as a q-analog of the single BPS monopole preserving (anti-)selfduality. Further discussion is made on the relation to axisymmetric ansatz on anti-selfdual equation given by Witten in the late seventies. It is found that the q-exponential functions familiar in q-analysis appear as analytic functions categorizing the anti-selfdual configurations yielded by axisymmetric ansatz.
  09/2001;
• Source

  Available from: Atsushi Nakamula

  Article: A q-analogue of Nahm's formalism for self-dual gauge fields

  Masaru Kamata, Atsushi Nakamula
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  ABSTRACT: We present a q-analogue of Nahm's formalism for the BPS monopole, which gives self-dual gauge fields with a deformation parameter q. The theory of the basic hypergeometric series is used in our formalism. In the limit q -> 1 the gauge fields approach the BPS monopole and Nahm's result is reproduced.
  10/1998;
• Source

  Available from: arxiv.org

  Article: 2+1 dimensional charged black hole with (anti-)self dual Maxwell fields

  Masaru Kamata, Takao Koikawa
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  ABSTRACT: We discuss the exact electrically charged BTZ black hole solutions to the Einstein-Maxwell equations with a negative cosmological constant in 2+1 spacetime dimensions assuming a (anti-)self dual condition between the electromagnetic fields. In a coordinate condition there appears a logarithmic divergence in the angular momentum at spatial infinity. We show how it is to be regularized by taking the contribution from the boundary into account. We show another coordinate condition which leads to a finite angular momentum though it brings about a peculiar spacetime topology. Comment: 8 pages, no figs, Latex
  05/1996;
• Source

  Available from: Atsushi Nakamula

  Article: One-parameter family of selfdual solutions in classical Yang-Mills theory

  Masaru Kamata, Atsushi Nakamula
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  ABSTRACT: The ADHM construction, which yields (anti-)selfdual configurations in classical Yang-Mills theories, is applied to an infinite dimensional l2 vector space, and as a consequence, a family of (anti-)selfdual configurations with a parameter q is obtained for SU(2) Yang-Mills theory. This l2 formulation can be seen as a q-analog of Nahm's monopole construction, so that the configuration approaches the BPS monopole at q→1 limit.
  Physics Letters B.
• Source

  Available from: arxiv.org

  Article: The electrically charged BTZ black hole with self (anti-self) dual Maxwell field

  Masaru Kamata, Takao Koikawa
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  ABSTRACT: The Einstein-Maxwell equations with a negative cosmological constant Λ in 2 + 1 spacetime dimensions discussed by Bañados, Teitelboim and Zanelli are solved by assuming a self (anti-self) dual equation , which is imposed on the orthonormal basis components of the electric field and the magnetic field B^. This solution describes an electrically charged extreme black hole with mass, angular momentum and electric charge e. Although the coordinate components of the electric field Er and the magnetic field B have singularities on the horizon at , the spacetime has the same value of constant negative curvature R = 6Λ of Bañados et al.
  Physics Letters B.