Deformed quantum cohomology and (0,2) mirror symmetry
We compute instanton corrections to correlators in the genus-zero topological subsector of a (0, 2) supersymmetric gauged linear sigma model with target space , whose left-moving fermions couple to a deformation of the tangent bundle. We then deduce the theory’s chiral ring from these correlators, w...
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| Veröffentlicht in: | The journal of high energy physics 2010-08, Vol.2010 (8), Article 109 |
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| creator | Guffin, Josh Katz, Sheldon |
| description | We compute instanton corrections to correlators in the genus-zero topological subsector of a (0, 2) supersymmetric gauged linear sigma model with target space
, whose left-moving fermions couple to a deformation of the tangent bundle. We then deduce the theory’s chiral ring from these correlators, which reduces in the limit of zero deformation to the (2, 2) ring. Finally, we compare our results with the computations carried out by Adams et al. [
1
] and Katz and Sharpe [
17
]. We find immediate agreement with the latter and an interesting puzzle in completely matching the chiral ring of the former. |
| doi_str_mv | 10.1007/JHEP08(2010)109 |
| format | Article |
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, whose left-moving fermions couple to a deformation of the tangent bundle. We then deduce the theory’s chiral ring from these correlators, which reduces in the limit of zero deformation to the (2, 2) ring. Finally, we compare our results with the computations carried out by Adams et al. [
1
] and Katz and Sharpe [
17
]. We find immediate agreement with the latter and an interesting puzzle in completely matching the chiral ring of the former.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP08(2010)109</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer-Verlag</publisher><subject>Classical and Quantum Gravitation ; Correlators ; Deformation ; Elementary Particles ; Fermions ; High energy physics ; Homology ; Instantons ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Relativity Theory ; String Theory</subject><ispartof>The journal of high energy physics, 2010-08, Vol.2010 (8), Article 109</ispartof><rights>SISSA, Trieste, Italy 2010</rights><rights>SISSA, Trieste, Italy 2010.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c310t-dfe04891592a05e37c740aba4429d8847e41326a6262a6ffe08e32e14f9b7e73</citedby><cites>FETCH-LOGICAL-c310t-dfe04891592a05e37c740aba4429d8847e41326a6262a6ffe08e32e14f9b7e73</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/JHEP08(2010)109$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/JHEP08(2010)109$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41096,41464,42165,42533,51294,51551</link.rule.ids><linktorsrc>$$Uhttps://doi.org/10.1007/JHEP08(2010)109$$EView_record_in_Springer_Nature$$FView_record_in_$$GSpringer_Nature</linktorsrc></links><search><creatorcontrib>Guffin, Josh</creatorcontrib><creatorcontrib>Katz, Sheldon</creatorcontrib><title>Deformed quantum cohomology and (0,2) mirror symmetry</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>We compute instanton corrections to correlators in the genus-zero topological subsector of a (0, 2) supersymmetric gauged linear sigma model with target space
, whose left-moving fermions couple to a deformation of the tangent bundle. We then deduce the theory’s chiral ring from these correlators, which reduces in the limit of zero deformation to the (2, 2) ring. Finally, we compare our results with the computations carried out by Adams et al. [
1
] and Katz and Sharpe [
17
]. We find immediate agreement with the latter and an interesting puzzle in completely matching the chiral ring of the former.</description><subject>Classical and Quantum Gravitation</subject><subject>Correlators</subject><subject>Deformation</subject><subject>Elementary Particles</subject><subject>Fermions</subject><subject>High energy physics</subject><subject>Homology</subject><subject>Instantons</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>2010</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp1kL1PwzAQxS0EEqUws0ZiaSVC7xznwyMq5UuVYOhuucmltKrj1k6G_Pe4ChIsTHc6_d67p8fYLcIDAuSz99fFJxQTDghTBHnGRghcxoXI5fmf_ZJdeb8DwBQljFj6RLV1hqro2Omm7UxU2i9r7N5u-kg3VTSBez6NzNY56yLfG0Ot66_ZRa33nm5-5pitnher-Wu8_Hh5mz8u4zJBaOOqJhCFxFRyDSkleZkL0GstBJdVEdKQwIRnOuMZ11kd6IISTihquc4pT8bsbrA9OHvsyLdqZzvXhI-KJ7IACRgMxmw2UKWz3juq1cFtjXa9QlCnatRQjTpVEw4yKGBQ-EA2G3K_vv9JvgHfS2OJ</recordid><startdate>20100801</startdate><enddate>20100801</enddate><creator>Guffin, Josh</creator><creator>Katz, Sheldon</creator><general>Springer-Verlag</general><general>Springer Nature B.V</general><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></search><sort><creationdate>20100801</creationdate><title>Deformed quantum cohomology and (0,2) mirror symmetry</title><author>Guffin, Josh ; Katz, Sheldon</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c310t-dfe04891592a05e37c740aba4429d8847e41326a6262a6ffe08e32e14f9b7e73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Classical and Quantum Gravitation</topic><topic>Correlators</topic><topic>Deformation</topic><topic>Elementary Particles</topic><topic>Fermions</topic><topic>High energy physics</topic><topic>Homology</topic><topic>Instantons</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>Guffin, Josh</creatorcontrib><creatorcontrib>Katz, Sheldon</creatorcontrib><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>Publicly Available Content Database</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><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Guffin, Josh</au><au>Katz, Sheldon</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Deformed quantum cohomology and (0,2) mirror symmetry</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2010-08-01</date><risdate>2010</risdate><volume>2010</volume><issue>8</issue><artnum>109</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>We compute instanton corrections to correlators in the genus-zero topological subsector of a (0, 2) supersymmetric gauged linear sigma model with target space
, whose left-moving fermions couple to a deformation of the tangent bundle. We then deduce the theory’s chiral ring from these correlators, which reduces in the limit of zero deformation to the (2, 2) ring. Finally, we compare our results with the computations carried out by Adams et al. [
1
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17
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| subjects | Classical and Quantum Gravitation Correlators Deformation Elementary Particles Fermions High energy physics Homology Instantons Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Relativity Theory String Theory |
| title | Deformed quantum cohomology and (0,2) mirror symmetry |
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