The stringy instanton partition function
A bstract We perform an exact computation of the gauged linear sigma model associated to a D1-D5 brane system on a resolved A 1 singularity. This is accomplished via supersymmetric localization on the blown-up two-sphere. We show that in the blow-down limit the partition function reduces to the Nekr...
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| Veröffentlicht in: | The journal of high energy physics 2014, Vol.2014 (1), p.1-31, Article 38 |
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| container_title | The journal of high energy physics |
| container_volume | 2014 |
| creator | Bonelli, Giulio Sciarappa, Antonio Tanzini, Alessandro Vasko, Petr |
| description | A
bstract
We perform an exact computation of the gauged linear sigma model associated to a D1-D5 brane system on a resolved
A
1
singularity. This is accomplished via supersymmetric localization on the blown-up two-sphere. We show that in the blow-down limit
the partition function reduces to the Nekrasov partition function evaluating the equivariant volume of the instanton moduli space. For finite radius we obtain a tower of world-sheet instanton corrections, that we identify with the equivariant Gromov-Witten invariants of the ADHM moduli space. We show that these corrections can be encoded in a deformation of the Seiberg-Witten prepotential. From the mathematical viewpoint, the D1-D5 system under study displays a twofold nature: the D1-branes viewpoint captures the equivariant quantum cohomology of the ADHM instanton moduli space in the Givental formalism, and the D5-branes viewpoint is related to higher rank equivariant Donaldson-Thomas invariants of
. |
| doi_str_mv | 10.1007/JHEP01(2014)038 |
| format | Article |
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bstract
We perform an exact computation of the gauged linear sigma model associated to a D1-D5 brane system on a resolved
A
1
singularity. This is accomplished via supersymmetric localization on the blown-up two-sphere. We show that in the blow-down limit
the partition function reduces to the Nekrasov partition function evaluating the equivariant volume of the instanton moduli space. For finite radius we obtain a tower of world-sheet instanton corrections, that we identify with the equivariant Gromov-Witten invariants of the ADHM moduli space. We show that these corrections can be encoded in a deformation of the Seiberg-Witten prepotential. From the mathematical viewpoint, the D1-D5 system under study displays a twofold nature: the D1-branes viewpoint captures the equivariant quantum cohomology of the ADHM instanton moduli space in the Givental formalism, and the D5-branes viewpoint is related to higher rank equivariant Donaldson-Thomas invariants of
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bstract
We perform an exact computation of the gauged linear sigma model associated to a D1-D5 brane system on a resolved
A
1
singularity. This is accomplished via supersymmetric localization on the blown-up two-sphere. We show that in the blow-down limit
the partition function reduces to the Nekrasov partition function evaluating the equivariant volume of the instanton moduli space. For finite radius we obtain a tower of world-sheet instanton corrections, that we identify with the equivariant Gromov-Witten invariants of the ADHM moduli space. We show that these corrections can be encoded in a deformation of the Seiberg-Witten prepotential. From the mathematical viewpoint, the D1-D5 system under study displays a twofold nature: the D1-branes viewpoint captures the equivariant quantum cohomology of the ADHM instanton moduli space in the Givental formalism, and the D5-branes viewpoint is related to higher rank equivariant Donaldson-Thomas invariants of
.</description><subject>Classical and Quantum Gravitation</subject><subject>Displays</subject><subject>Elementary Particles</subject><subject>Formalism</subject><subject>High energy physics</subject><subject>Instantons</subject><subject>Invariants</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Partitions</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Relativity Theory</subject><subject>String Theory</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp1kDFPwzAQhS0EEqUws1ZiKUPonR3X9oiqQkGVYCiz5bgOpGqdYDtD_z2JwlAhMd0bvvd0-gi5RXhAADF7XS3fAacUML8HJs_ICIGqTOZCnZ_kS3IV4w4AOSoYkenmy01iCpX_PE4qH5PxqfaTxoRUpapLZettH67JRWn20d383jH5eFpuFqts_fb8snhcZzZnkDKLlJoCnMG5tGxL-RaMAskKEIXjc8glFs5aDtxRthVK5SVwLlnJsKTUGjYm02G3CfV362LShypat98b7-o2ahQCqACJ2KF3f9Bd3QbffadxzqkUChXvqNlA2VDHGFypm1AdTDhqBN2b04M53ZvTnbmuAUMjNr0XF052_6n8AF6ObhA</recordid><startdate>2014</startdate><enddate>2014</enddate><creator>Bonelli, Giulio</creator><creator>Sciarappa, Antonio</creator><creator>Tanzini, Alessandro</creator><creator>Vasko, Petr</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>2014</creationdate><title>The stringy instanton partition function</title><author>Bonelli, Giulio ; Sciarappa, Antonio ; Tanzini, Alessandro ; Vasko, Petr</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c430t-c122ab0ea168c3d25d0a9083b07be560481becc505e23d7994f05583f31f22ca3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Classical and Quantum Gravitation</topic><topic>Displays</topic><topic>Elementary Particles</topic><topic>Formalism</topic><topic>High energy physics</topic><topic>Instantons</topic><topic>Invariants</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Partitions</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Relativity Theory</topic><topic>String Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bonelli, Giulio</creatorcontrib><creatorcontrib>Sciarappa, Antonio</creatorcontrib><creatorcontrib>Tanzini, Alessandro</creatorcontrib><creatorcontrib>Vasko, Petr</creatorcontrib><collection>Springer Nature OA/Free Journals</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Access via ProQuest (Open Access)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bonelli, Giulio</au><au>Sciarappa, Antonio</au><au>Tanzini, Alessandro</au><au>Vasko, Petr</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The stringy instanton partition function</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2014</date><risdate>2014</risdate><volume>2014</volume><issue>1</issue><spage>1</spage><epage>31</epage><pages>1-31</pages><artnum>38</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
We perform an exact computation of the gauged linear sigma model associated to a D1-D5 brane system on a resolved
A
1
singularity. This is accomplished via supersymmetric localization on the blown-up two-sphere. We show that in the blow-down limit
the partition function reduces to the Nekrasov partition function evaluating the equivariant volume of the instanton moduli space. For finite radius we obtain a tower of world-sheet instanton corrections, that we identify with the equivariant Gromov-Witten invariants of the ADHM moduli space. We show that these corrections can be encoded in a deformation of the Seiberg-Witten prepotential. From the mathematical viewpoint, the D1-D5 system under study displays a twofold nature: the D1-branes viewpoint captures the equivariant quantum cohomology of the ADHM instanton moduli space in the Givental formalism, and the D5-branes viewpoint is related to higher rank equivariant Donaldson-Thomas invariants of
.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP01(2014)038</doi><tpages>31</tpages><oa>free_for_read</oa></addata></record> |
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| subjects | Classical and Quantum Gravitation Displays Elementary Particles Formalism High energy physics Instantons Invariants Mathematical analysis Mathematical models Partitions Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Relativity Theory String Theory |
| title | The stringy instanton partition function |
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