A Remark on Topological Charges over the Fuzzy Sphere
نویسندگان
چکیده
We determine the Chern characters of two projective modules over the fuzzy sphere and calculate the corresponding topological charges (Chern numbers). These turn out to have corrections—compared to the commutative limit—induced by the noncommutative structure of the three coordinates.
منابع مشابه
Fuzzy Line Bundles, Chern Classes and Topological Charges over the Fuzzy Sphere
We construct certain projective modules over the fuzzy sphere and calculate their topological charges (Chern numbers). These turn out to have corrections—compared to the commutative limit—induced by the noncommutative structure of the three coordinates.
متن کاملTopological ZN+1 Charges on Fuzzy Sphere
We study the topological properties on fuzzy sphere. We show that the topological charge is only defined modulo N + 1, that is finite integer quotient ZN+1, where N is a cut-off spin of fuzzy sphere. This periodic structure on topological charges is shown based on the boson realizations of SU(2) algebra, Schwinger vs. Holstein-Primakoff. We argue that this result can have a natural K-theory int...
متن کاملFuzzy Line Bundles, the Chern Character and Topological Charges over the Fuzzy Sphere
Using the theory of quantized equivariant vector bundles over compact coadjoint orbits we determine the Chern characters of all noncommutative line bundles over the fuzzy sphere with regard to its derivation based differential calculus. The associated Chern numbers (topological charges) arise to be non-integer, in the commutative limit the well known integer Chern numbers of the complex line bu...
متن کاملGinsparg-Wilson Relation and ’t Hooft-Polyakov Monopole on Fuzzy 2-Sphere
We investigate several properties of Ginsparg-Wilson fermion on fuzzy 2-sphere. We first examine chiral anomaly up to the second order of the gauge field and show that it is indeed reduced to the correct form of the Chern character in the commutative limit. Next we study topologically non-trivial gauge configurations and their topological charges. We investigate ’t Hooft-Polyakov monopole type ...
متن کاملON (L;M)-FUZZY CLOSURE SPACES
The aim of this paper is to introduce $(L,M)$-fuzzy closurestructure where $L$ and $M$ are strictly two-sided, commutativequantales. Firstly, we define $(L,M)$-fuzzy closure spaces and getsome relations between $(L,M)$-double fuzzy topological spaces and$(L,M)$-fuzzy closure spaces. Then, we introduce initial$(L,M)$-fuzzy closure structures and we prove that the category$(L,M)$-{bf FC} of $(L,M...
متن کامل