Volume 9, Issue Supplement 1, February 2002, Pages 152 - 163
On a q-Analog of ADHMN Construction for Self-Dual Yang-Mills
Received 1 May 2001, Revised 15 May 2001, Accepted 22 May 2001, Available Online 1 February 2002.
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- It is known that many integrable systems can be reduced from self-dual Yang-Mills equations. The formal solution space to the self-dual Yang-Mills equations is given by the so called ADHM construction, in which the solution space are graded by vector spaces with dimensionality concerning topological index. When we consider a reduced self-dual system such as the Bogomol'nyi equations, in terms of ADHM construction, we need to incorporate an infinite dimensional vector space, in general. In this paper, we reformulate the ADHM construction by introducing various infinite dimensional vector spaces taking into account the reduction of self-dual system.
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TY - JOUR AU - Atsushi Nakamula PY - 2002 DA - 2002/02 TI - On a q-Analog of ADHMN Construction for Self-Dual Yang-Mills JO - Journal of Nonlinear Mathematical Physics SP - 152 EP - 163 VL - 9 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2002.9.s1.13 DO - https://doi.org/10.2991/jnmp.2002.9.s1.13 ID - Nakamula2002 ER -