Hemisphere Partition Function and Analytic Continuation to the Conifold Point
We show that the hemisphere partition function for certain U(1) gauged linear sigma models (GLSMs) with D-branes is related to a particular set of Mellin-Barnes integrals which can be used for analytic continuation to the singular point in the K\"ahler moduli space of an $h^{1,1}=1$ Calabi-Yau...
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| creator | Knapp, Johanna Romo, Mauricio Scheidegger, Emanuel |
| description | We show that the hemisphere partition function for certain U(1) gauged linear
sigma models (GLSMs) with D-branes is related to a particular set of
Mellin-Barnes integrals which can be used for analytic continuation to the
singular point in the K\"ahler moduli space of an $h^{1,1}=1$ Calabi-Yau (CY)
projective hypersurface. We directly compute the analytic continuation of the
full quantum corrected central charge of a basis of geometric D-branes from the
large volume to the singular point. In the mirror language this amounts to
compute the analytic continuation of a basis of periods on the mirror CY to the
conifold point. However, all calculations are done in the GLSM and we do not
have to refer to the mirror CY. We apply our methods explicitly to the cubic,
quartic and quintic CY hypersurfaces. |
| doi_str_mv | 10.48550/arxiv.1602.01382 |
| format | Article |
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sigma models (GLSMs) with D-branes is related to a particular set of
Mellin-Barnes integrals which can be used for analytic continuation to the
singular point in the K\"ahler moduli space of an $h^{1,1}=1$ Calabi-Yau (CY)
projective hypersurface. We directly compute the analytic continuation of the
full quantum corrected central charge of a basis of geometric D-branes from the
large volume to the singular point. In the mirror language this amounts to
compute the analytic continuation of a basis of periods on the mirror CY to the
conifold point. However, all calculations are done in the GLSM and we do not
have to refer to the mirror CY. We apply our methods explicitly to the cubic,
quartic and quintic CY hypersurfaces.</description><identifier>DOI: 10.48550/arxiv.1602.01382</identifier><language>eng</language><subject>Mathematics - Algebraic Geometry ; Physics - High Energy Physics - Theory</subject><creationdate>2016-02</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1602.01382$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1602.01382$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Knapp, Johanna</creatorcontrib><creatorcontrib>Romo, Mauricio</creatorcontrib><creatorcontrib>Scheidegger, Emanuel</creatorcontrib><title>Hemisphere Partition Function and Analytic Continuation to the Conifold Point</title><description>We show that the hemisphere partition function for certain U(1) gauged linear
sigma models (GLSMs) with D-branes is related to a particular set of
Mellin-Barnes integrals which can be used for analytic continuation to the
singular point in the K\"ahler moduli space of an $h^{1,1}=1$ Calabi-Yau (CY)
projective hypersurface. We directly compute the analytic continuation of the
full quantum corrected central charge of a basis of geometric D-branes from the
large volume to the singular point. In the mirror language this amounts to
compute the analytic continuation of a basis of periods on the mirror CY to the
conifold point. However, all calculations are done in the GLSM and we do not
have to refer to the mirror CY. We apply our methods explicitly to the cubic,
quartic and quintic CY hypersurfaces.</description><subject>Mathematics - Algebraic Geometry</subject><subject>Physics - High Energy Physics - Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj8FqwzAQRHXJoaT9gJ6qH7C7kmxZOgaTNIWU5JC7WdkrInCk4Cil-fsSt6cZ5sHAY-xVQFmZuoZ3nH7Cdyk0yBKEMvKJfW3pHK6XE03EDzjlkEOKfHOL_VwwDnwVcbzn0PM2xRziDWeSE88nemzBp3HghxRifmYLj-OVXv5zyY6b9bHdFrv9x2e72hWoG1koclaKBgZRV9YDkbTO1iCk1laTRUsVKvKVMspB73ptDTTNAE4AkjdKLdnb3-3s012mcMbp3j28utlL_QJU-UhT</recordid><startdate>20160203</startdate><enddate>20160203</enddate><creator>Knapp, Johanna</creator><creator>Romo, Mauricio</creator><creator>Scheidegger, Emanuel</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20160203</creationdate><title>Hemisphere Partition Function and Analytic Continuation to the Conifold Point</title><author>Knapp, Johanna ; Romo, Mauricio ; Scheidegger, Emanuel</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a672-3eb92170d1549f0ee29b950126696e9a9e4a3ef4383b0cbc698077d0b10aef833</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Mathematics - Algebraic Geometry</topic><topic>Physics - High Energy Physics - Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Knapp, Johanna</creatorcontrib><creatorcontrib>Romo, Mauricio</creatorcontrib><creatorcontrib>Scheidegger, Emanuel</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Knapp, Johanna</au><au>Romo, Mauricio</au><au>Scheidegger, Emanuel</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Hemisphere Partition Function and Analytic Continuation to the Conifold Point</atitle><date>2016-02-03</date><risdate>2016</risdate><abstract>We show that the hemisphere partition function for certain U(1) gauged linear
sigma models (GLSMs) with D-branes is related to a particular set of
Mellin-Barnes integrals which can be used for analytic continuation to the
singular point in the K\"ahler moduli space of an $h^{1,1}=1$ Calabi-Yau (CY)
projective hypersurface. We directly compute the analytic continuation of the
full quantum corrected central charge of a basis of geometric D-branes from the
large volume to the singular point. In the mirror language this amounts to
compute the analytic continuation of a basis of periods on the mirror CY to the
conifold point. However, all calculations are done in the GLSM and we do not
have to refer to the mirror CY. We apply our methods explicitly to the cubic,
quartic and quintic CY hypersurfaces.</abstract><doi>10.48550/arxiv.1602.01382</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Algebraic Geometry Physics - High Energy Physics - Theory |
| title | Hemisphere Partition Function and Analytic Continuation to the Conifold Point |
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