Line bundle twisted chiral de Rham complex, chiral Riemann-Roch formula and D-branes on toric manifolds.
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| Title: | Line bundle twisted chiral de Rham complex, chiral Riemann-Roch formula and D-branes on toric manifolds. |
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| Authors: | Parkhomenko, S. spark@itp.ac.ru |
| Source: | JETP Letters. Mar2014, Vol. 99 Issue 1, p42-46. 5p. |
| Subjects: | Chirality, Riemann-Roch theorems, Mathematical formulas, D-branes, Manifolds (Mathematics), Numerical calculations |
| Abstract: | I present the results of the elliptic genus calculations in various examples of twisted chiral de Rham complex on one- and two-dimensional toric compact manifolds. The explicit calculations are made for line bundle twisted chiral de Rham complex on ℙ, ℙ and Hirzebruch surface. Based on these results I propose the elliptic genus expression of the bundle twisted chiral de Rham complex for general smooth compact two dimensional toric manifold. The expression resembles Riemann-Roch formula and coincides with the later in certain limit. I interpret the result in terms of infinite tower of open string oscillator contributions and identify directly the open string boundary conditions of the corresponding bound state of D-branes. [ABSTRACT FROM AUTHOR] |
| Copyright of JETP Letters is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 95093512 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Line bundle twisted chiral de Rham complex, chiral Riemann-Roch formula and D-branes on toric manifolds. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Parkhomenko%2C+S%2E%22">Parkhomenko, S.</searchLink><i> spark@itp.ac.ru</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22JETP+Letters%22">JETP Letters</searchLink>. Mar2014, Vol. 99 Issue 1, p42-46. 5p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Chirality%22">Chirality</searchLink><br /><searchLink fieldCode="DE" term="%22Riemann-Roch+theorems%22">Riemann-Roch theorems</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+formulas%22">Mathematical formulas</searchLink><br /><searchLink fieldCode="DE" term="%22D-branes%22">D-branes</searchLink><br /><searchLink fieldCode="DE" term="%22Manifolds+%28Mathematics%29%22">Manifolds (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+calculations%22">Numerical calculations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: I present the results of the elliptic genus calculations in various examples of twisted chiral de Rham complex on one- and two-dimensional toric compact manifolds. The explicit calculations are made for line bundle twisted chiral de Rham complex on ℙ, ℙ and Hirzebruch surface. Based on these results I propose the elliptic genus expression of the bundle twisted chiral de Rham complex for general smooth compact two dimensional toric manifold. The expression resembles Riemann-Roch formula and coincides with the later in certain limit. I interpret the result in terms of infinite tower of open string oscillator contributions and identify directly the open string boundary conditions of the corresponding bound state of D-branes. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of JETP Letters is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1134/S0021364014010081 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 5 StartPage: 42 Subjects: – SubjectFull: Chirality Type: general – SubjectFull: Riemann-Roch theorems Type: general – SubjectFull: Mathematical formulas Type: general – SubjectFull: D-branes Type: general – SubjectFull: Manifolds (Mathematics) Type: general – SubjectFull: Numerical calculations Type: general Titles: – TitleFull: Line bundle twisted chiral de Rham complex, chiral Riemann-Roch formula and D-branes on toric manifolds. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Parkhomenko, S. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2014 Type: published Y: 2014 Identifiers: – Type: issn-print Value: 00213640 Numbering: – Type: volume Value: 99 – Type: issue Value: 1 Titles: – TitleFull: JETP Letters Type: main |
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