| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Research Abstract |
Solitons in gauge theories in noncommutative spaces had been constructed by using several methods. However we did not have noncommutative soliton solutions by using deformation quantization from solitons in commutative soliton solutions, and we did not have researches for such solutions. In this study, we do them for the case of instantons that are solitons in a 4-dimensional gauge theory. Deformation quantization of instanton solutions for U(N) (N>1) gauge theory in R4 is constructed and it is shown that their instanton numbers are preserved under the deformation quantization. We also derive the one-to-one correspondence between the instantons and ADHM data.
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