35 citations · 82 across the 9 of their papers we have counts for
9 papers
Quiver mutation sequences and -binomial identities
Akishi Kato, Yuma Mizuno, Yuji Terashima
In this paper, first we introduce a quantity called a partition function for a quiver mutation sequence. The partition function is a generating function whose weight is a -binom…
Quantum dilogarithms and partition q-series
Akishi Kato, Yuji Terashima
In our previous work [arXiv:1403.6569], we introduced the partition q-series for mutation loop --- a loop in exchange quiver. In this paper, we show that for certain class of mutat…
Quiver mutation loops and partition q-series
Akishi Kato, Yuji Terashima
A quiver mutation loop is a sequence of mutations and vertex relabelings, along which a quiver transforms back to the original form. For a given mutation loop, we introduce a quant…
Zonotopes and four-dimensional superconformal field theories
Akishi Kato
The a-maximization technique proposed by Intriligator and Wecht allows us to determine the exact R-charges and scaling dimensions of the chiral operators of four-dimensional superc…
Modular invariance of string theory on AdS_3
Akishi Kato, Yuji Satoh
We discuss the modular invariance of the SL(2,R) WZW model. In particular, we discuss in detail the modular invariants using the \hat{sl}(2,R) characters based on the discrete unit…
Comments on Large N Matrix Model
Hiroshige Kajiura, Akishi Kato, Sachiko Ogushi
The large N Matrix model is studied with attention to the quantum fluctuations around a given diagonal background. Feynman rules are explicitly derived and their relation to those…