“Topological” Charge of U(1) Instantons on Noncommutative R4
نویسندگان
چکیده
منابع مشابه
Recent Developments in Instantons in Noncommutative R4
We review recent developments in noncommutative deformations of instantons in R4. In the operator formalism, we study how to make noncommutative instantons by using the ADHM method, and we review the relation between topological charges and noncommutativity. In the ADHM methods, there exist instantons whose commutative limits are singular. We review smooth noncommutative deformations of instant...
متن کاملNoncommutative Instantons on R
We study U(1) and U(2) noncommutative instantons on RNC ×RC based on the ADHM construction. It is shown that the instanton solutions are always regular for both self-dual and anti-self-dual gauge fields even though any projected states are not involved in the ADHM construction. Furthermore the instanton number is also an integer. [email protected] [email protected] [email protected]....
متن کاملNoncommutative Instantons on Cp
We construct explicit solutions of the Hermitian Yang-Mills equations on the noncommutative space C θ . In the commutative limit they coincide with the standard instantons on CP written in local coordinates.
متن کاملTopological Charge of Noncommutative ADHM Instanton
We analytically calculate the topological charge of the noncommutative ADHM U(N) k-instanton using the Corrigan’s identity and find that the result is exactly the instanton number k.
متن کاملNoncommutative Instantons in Higher Dimensions, Vortices and Topological K-Cycles
We construct explicit BPS and non-BPS solutions of the U(2k) Yang-Mills equations on the noncommutative space R θ ×S2 with finite energy and topological charge. By twisting with a Dirac multi-monopole bundle over S, we reduce the Donaldson-Uhlenbeck-Yau equations on R θ ×S2 to vortex-type equations for a pair of U(k) gauge fields and a bi-fundamental scalar field on R θ . In the SO(3)-invariant...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Progress of Theoretical Physics Supplement
سال: 2001
ISSN: 0375-9687
DOI: 10.1143/ptps.144.79