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Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach
Інший ID:
2010 Mathematics Subject Classification: 11E04; 14H45; 15B52
DOI:10.3842/SIGMA.2017.012
DOI:10.3842/SIGMA.2017.012
Посилання:
Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach / C. Rim // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 38 назв. — англ.
Підтримка:
The author acknowledges the support of this work by the National Research Foundation of Korea
(NRF) grant funded by the Korea government (MSIP) (NRF-2014R1A2A2A01004951). Part of
this work presented at “5th Workshop on Combinatorics of Moduli Spaces, Hurwitz Numbers,
and Cohomological Field Theories”, June 6–11, 2016, Moscow, Russia and at the workshop
“Conformal Field Theory, Isomonodromic Tau-Functions and Painlev´e Equations”, November
21–25, 2016, Kobe, Japan.
Дата:
2017
Переглядів:
537
Завантажень:
380
Анотація:
We present recent developments of irregular conformal conformal states. Irregular vertex operators and their adjoint in a new formalism are used to define the irregular conformal states and their inner product instead of using the colliding limit procedure. Free field formalism can be augmented by screening operators which provide more degrees of freedom. The inner product is conveniently given as the partition function of an irregular matrix model. (Deformed) spectral curve is the loop equation of the matrix model at Nekrasov-Shatashivili limit. We present the details of analytic structure of the spectral curve for Virasoso symmetry and its extensions, W-symmetry and super-symmetry.
