Abstract
The orbifold generalization of the partition function, which would describe the gauge theory on the ALE space, is investigated from the combinatorial perspective. It is shown that the root of unity limit q →exp(2Πi/k) of the q-deformed partition function plays a crucial role in the orbifold projection while the limit q → 1 applies to R4. Then starting from the combinatorial representation of the partition function, a new type of multi-matrix model is derived by considering its asymptotic behavior. It is also shown that Seiberg-Witten curve for the corresponding gauge theory arises from the spectral curve of this multi-matrix model.
| Original language | English |
|---|---|
| Article number | 015 |
| Journal | Journal of High Energy Physics |
| Volume | 2011 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - 2011 |
| Externally published | Yes |
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Keywords
- M(atrix) Theories
- Matrix Models
- Supersymmetric gauge theory
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Matrix model from N = 2 orbifold partition function. / Kimura, Taro.
In: Journal of High Energy Physics, Vol. 2011, No. 9, 015, 2011.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Matrix model from N = 2 orbifold partition function
AU - Kimura, Taro
PY - 2011
Y1 - 2011
N2 - The orbifold generalization of the partition function, which would describe the gauge theory on the ALE space, is investigated from the combinatorial perspective. It is shown that the root of unity limit q →exp(2Πi/k) of the q-deformed partition function plays a crucial role in the orbifold projection while the limit q → 1 applies to R4. Then starting from the combinatorial representation of the partition function, a new type of multi-matrix model is derived by considering its asymptotic behavior. It is also shown that Seiberg-Witten curve for the corresponding gauge theory arises from the spectral curve of this multi-matrix model.
AB - The orbifold generalization of the partition function, which would describe the gauge theory on the ALE space, is investigated from the combinatorial perspective. It is shown that the root of unity limit q →exp(2Πi/k) of the q-deformed partition function plays a crucial role in the orbifold projection while the limit q → 1 applies to R4. Then starting from the combinatorial representation of the partition function, a new type of multi-matrix model is derived by considering its asymptotic behavior. It is also shown that Seiberg-Witten curve for the corresponding gauge theory arises from the spectral curve of this multi-matrix model.
KW - M(atrix) Theories
KW - Matrix Models
KW - Supersymmetric gauge theory
UR - http://www.scopus.com/inward/record.url?scp=80053202832&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=80053202832&partnerID=8YFLogxK
U2 - 10.1007/JHEP09(2011)015
DO - 10.1007/JHEP09(2011)015
M3 - Article
VL - 2011
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 9
M1 - 015
ER -