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Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach
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 s...
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Інститут математики НАН України
2017
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/148598 |
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irk-123456789-1485982019-02-19T01:26:49Z Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach Rim, C. 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. 2017 Article 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. 1815-0659 2010 Mathematics Subject Classification: 11E04; 14H45; 15B52 DOI:10.3842/SIGMA.2017.012 http://dspace.nbuv.gov.ua/handle/123456789/148598 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Rim, C. |
| spellingShingle |
Rim, C. Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Rim, C. |
| author_sort |
Rim, C. |
| title |
Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach |
| title_short |
Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach |
| title_full |
Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach |
| title_fullStr |
Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach |
| title_full_unstemmed |
Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach |
| title_sort |
irregular conformal states and spectral curve: irregular matrix model approach |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148598 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT rimc irregularconformalstatesandspectralcurveirregularmatrixmodelapproach |
| first_indexed |
2023-05-20T17:30:13Z |
| last_indexed |
2023-05-20T17:30:13Z |
| _version_ |
1796153440845430784 |