| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Research Abstract |
One of the central issues of string theories is to understand "dualities". It is of crucial importance to study the generating functions of the stable states. In a joint work with Yuji Terashima (Tokyo Institute of Technology), we defined partition q-series for a quiver mutation loop (a loop in a quiver exchange graph in cluster algebra terminology). We showed that they enjoy various remarkable properties such as pentagon identities, relation with fermionic character formulas of certain conformal field theories, and modular properties. The partition q-series are defined solely in terms of combinatorial data and are independent of the details of the system under study. It is expected that the partition q-series proves to be a unifying framework for shedding new lights on dualities and quantization.
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