Open intersection numbers, matrix models and MKP hierarchy

Abstract In this paper we conjecture that the generating function of the intersection numbers on the moduli spaces of Riemann surfaces with boundary, constructed recently by R. Pandharipande, J. Solomon and R. Tessler and extended by A. Buryak, is a tau-function of the KP integrable hierarchy. Moreo...
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Autor*in:	Alexandrov, A. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2015

Schlagwörter:	Matrix Models Integrable Hierarchies Topological Strings

Anmerkung:	© The Author(s) 2015

Übergeordnetes Werk:	Enthalten in: Journal of high energy physics - Berlin : Springer, 1997, 2015(2015), 3 vom: 09. März
Übergeordnetes Werk:	volume:2015 ; year:2015 ; number:3 ; day:09 ; month:03

Links:	Volltext

DOI / URN:	10.1007/JHEP03(2015)042

Katalog-ID:	SPR030483875

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allfields	10.1007/JHEP03(2015)042 doi (DE-627)SPR030483875 (SPR)JHEP03(2015)042-e DE-627 ger DE-627 rakwb eng Alexandrov, A. verfasserin aut Open intersection numbers, matrix models and MKP hierarchy 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2015 Abstract In this paper we conjecture that the generating function of the intersection numbers on the moduli spaces of Riemann surfaces with boundary, constructed recently by R. Pandharipande, J. Solomon and R. Tessler and extended by A. Buryak, is a tau-function of the KP integrable hierarchy. Moreover, it is given by a simple modification of the Kontsevich matrix integral so that the generating functions of open and closed intersection numbers are described by the MKP integrable hierarchy. Virasoro constraints for the open intersection numbers naturally follow from the matrix integral representation. Matrix Models (dpeaa)DE-He213 Integrable Hierarchies (dpeaa)DE-He213 Topological Strings (dpeaa)DE-He213 Enthalten in Journal of high energy physics Berlin : Springer, 1997 2015(2015), 3 vom: 09. März (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2015 year:2015 number:3 day:09 month:03 https://dx.doi.org/10.1007/JHEP03(2015)042 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2015 2015 3 09 03
spelling	10.1007/JHEP03(2015)042 doi (DE-627)SPR030483875 (SPR)JHEP03(2015)042-e DE-627 ger DE-627 rakwb eng Alexandrov, A. verfasserin aut Open intersection numbers, matrix models and MKP hierarchy 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2015 Abstract In this paper we conjecture that the generating function of the intersection numbers on the moduli spaces of Riemann surfaces with boundary, constructed recently by R. Pandharipande, J. Solomon and R. Tessler and extended by A. Buryak, is a tau-function of the KP integrable hierarchy. Moreover, it is given by a simple modification of the Kontsevich matrix integral so that the generating functions of open and closed intersection numbers are described by the MKP integrable hierarchy. Virasoro constraints for the open intersection numbers naturally follow from the matrix integral representation. Matrix Models (dpeaa)DE-He213 Integrable Hierarchies (dpeaa)DE-He213 Topological Strings (dpeaa)DE-He213 Enthalten in Journal of high energy physics Berlin : Springer, 1997 2015(2015), 3 vom: 09. März (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2015 year:2015 number:3 day:09 month:03 https://dx.doi.org/10.1007/JHEP03(2015)042 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2015 2015 3 09 03
allfields_unstemmed	10.1007/JHEP03(2015)042 doi (DE-627)SPR030483875 (SPR)JHEP03(2015)042-e DE-627 ger DE-627 rakwb eng Alexandrov, A. verfasserin aut Open intersection numbers, matrix models and MKP hierarchy 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2015 Abstract In this paper we conjecture that the generating function of the intersection numbers on the moduli spaces of Riemann surfaces with boundary, constructed recently by R. Pandharipande, J. Solomon and R. Tessler and extended by A. Buryak, is a tau-function of the KP integrable hierarchy. Moreover, it is given by a simple modification of the Kontsevich matrix integral so that the generating functions of open and closed intersection numbers are described by the MKP integrable hierarchy. Virasoro constraints for the open intersection numbers naturally follow from the matrix integral representation. Matrix Models (dpeaa)DE-He213 Integrable Hierarchies (dpeaa)DE-He213 Topological Strings (dpeaa)DE-He213 Enthalten in Journal of high energy physics Berlin : Springer, 1997 2015(2015), 3 vom: 09. März (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2015 year:2015 number:3 day:09 month:03 https://dx.doi.org/10.1007/JHEP03(2015)042 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2015 2015 3 09 03
allfieldsGer	10.1007/JHEP03(2015)042 doi (DE-627)SPR030483875 (SPR)JHEP03(2015)042-e DE-627 ger DE-627 rakwb eng Alexandrov, A. verfasserin aut Open intersection numbers, matrix models and MKP hierarchy 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2015 Abstract In this paper we conjecture that the generating function of the intersection numbers on the moduli spaces of Riemann surfaces with boundary, constructed recently by R. Pandharipande, J. Solomon and R. Tessler and extended by A. Buryak, is a tau-function of the KP integrable hierarchy. Moreover, it is given by a simple modification of the Kontsevich matrix integral so that the generating functions of open and closed intersection numbers are described by the MKP integrable hierarchy. Virasoro constraints for the open intersection numbers naturally follow from the matrix integral representation. Matrix Models (dpeaa)DE-He213 Integrable Hierarchies (dpeaa)DE-He213 Topological Strings (dpeaa)DE-He213 Enthalten in Journal of high energy physics Berlin : Springer, 1997 2015(2015), 3 vom: 09. März (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2015 year:2015 number:3 day:09 month:03 https://dx.doi.org/10.1007/JHEP03(2015)042 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2015 2015 3 09 03
allfieldsSound	10.1007/JHEP03(2015)042 doi (DE-627)SPR030483875 (SPR)JHEP03(2015)042-e DE-627 ger DE-627 rakwb eng Alexandrov, A. verfasserin aut Open intersection numbers, matrix models and MKP hierarchy 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2015 Abstract In this paper we conjecture that the generating function of the intersection numbers on the moduli spaces of Riemann surfaces with boundary, constructed recently by R. Pandharipande, J. Solomon and R. Tessler and extended by A. Buryak, is a tau-function of the KP integrable hierarchy. Moreover, it is given by a simple modification of the Kontsevich matrix integral so that the generating functions of open and closed intersection numbers are described by the MKP integrable hierarchy. Virasoro constraints for the open intersection numbers naturally follow from the matrix integral representation. Matrix Models (dpeaa)DE-He213 Integrable Hierarchies (dpeaa)DE-He213 Topological Strings (dpeaa)DE-He213 Enthalten in Journal of high energy physics Berlin : Springer, 1997 2015(2015), 3 vom: 09. März (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2015 year:2015 number:3 day:09 month:03 https://dx.doi.org/10.1007/JHEP03(2015)042 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2015 2015 3 09 03
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author	Alexandrov, A.
spellingShingle	Alexandrov, A. misc Matrix Models misc Integrable Hierarchies misc Topological Strings Open intersection numbers, matrix models and MKP hierarchy
authorStr	Alexandrov, A.
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topic_title	Open intersection numbers, matrix models and MKP hierarchy Matrix Models (dpeaa)DE-He213 Integrable Hierarchies (dpeaa)DE-He213 Topological Strings (dpeaa)DE-He213
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title	Open intersection numbers, matrix models and MKP hierarchy
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title_full	Open intersection numbers, matrix models and MKP hierarchy
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title_sort	open intersection numbers, matrix models and mkp hierarchy
title_auth	Open intersection numbers, matrix models and MKP hierarchy
abstract	Abstract In this paper we conjecture that the generating function of the intersection numbers on the moduli spaces of Riemann surfaces with boundary, constructed recently by R. Pandharipande, J. Solomon and R. Tessler and extended by A. Buryak, is a tau-function of the KP integrable hierarchy. Moreover, it is given by a simple modification of the Kontsevich matrix integral so that the generating functions of open and closed intersection numbers are described by the MKP integrable hierarchy. Virasoro constraints for the open intersection numbers naturally follow from the matrix integral representation. © The Author(s) 2015
abstractGer	Abstract In this paper we conjecture that the generating function of the intersection numbers on the moduli spaces of Riemann surfaces with boundary, constructed recently by R. Pandharipande, J. Solomon and R. Tessler and extended by A. Buryak, is a tau-function of the KP integrable hierarchy. Moreover, it is given by a simple modification of the Kontsevich matrix integral so that the generating functions of open and closed intersection numbers are described by the MKP integrable hierarchy. Virasoro constraints for the open intersection numbers naturally follow from the matrix integral representation. © The Author(s) 2015
abstract_unstemmed	Abstract In this paper we conjecture that the generating function of the intersection numbers on the moduli spaces of Riemann surfaces with boundary, constructed recently by R. Pandharipande, J. Solomon and R. Tessler and extended by A. Buryak, is a tau-function of the KP integrable hierarchy. Moreover, it is given by a simple modification of the Kontsevich matrix integral so that the generating functions of open and closed intersection numbers are described by the MKP integrable hierarchy. Virasoro constraints for the open intersection numbers naturally follow from the matrix integral representation. © The Author(s) 2015
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