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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2017 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2017
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/148598 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862614040428150784 |
|---|---|
| author | Rim, C. |
| author_facet | Rim, C. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-29T09:34:34Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148598 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-29T09:34:34Z |
| publishDate | 2017 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Rim, C. 2019-02-18T16:27:40Z 2019-02-18T16:27:40Z 2017 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 https://nasplib.isofts.kiev.ua/handle/123456789/148598 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach Article published earlier |
| spellingShingle | Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach Rim, C. |
| title | 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_short | Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach |
| title_sort | irregular conformal states and spectral curve: irregular matrix model approach |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148598 |
| work_keys_str_mv | AT rimc irregularconformalstatesandspectralcurveirregularmatrixmodelapproach |