Affine SU(N) algebra from wall-crossings

作者：Nishinaka Takahiro^*; Yamaguchi Satoshi

来源：The Journal of High Energy Physics, 2014, 2014(7): 030.

DOI：10.1007/JHEP07(2014)030

• D-branes
• Differential and Algebraic Geometry
• Topological Strings

We study the relation between the instanton counting on ALE spaces and the BPS state counting on a toric Calabi-Yau three-fold. We put a single D4-brane on a divisor isomorphic to A(N-1)-ALE space in the Calabi-Yau three-fold, and evaluate the discrete changes of BPS partition function of D4-D2-D0 states in the wall-crossing phenomena. In particular, we find that the character of affine SU(N) algebra naturally arises in wall-crossings of D4-D2-D0 states. Our analysis is completely based on the wall-crossing formula for the d = 4, N = 2 supersymmetric theory obtained by dimensionally reducing the Calabi-Yau three-fold.

• 出版日期2014-7-7