- Abstract:
-
We consider a generalization of elliptic multiple zeta values, which we call twisted elliptic multiple zeta values. These arise as iterated integrals on an elliptic curve from which a rational lattice has been removed. At the cusp, twisted elliptic multiple zeta values are shown to degenerate to cyclotomic multiple zeta values in the same way as elliptic multiple zeta values degenerate to classical multiple zeta values. We investigate properties of twisted elliptic multiple zeta values and ut...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Accepted Manuscript
- Files:
-
-
(pdf, 947.9KB)
-
- Publisher copy:
- 10.1088/1751-8121/aac601
-
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- Publisher:
- Institute of Physics Publisher's website
- Journal:
- Journal of Physics A: Mathematical and Theoretical Journal website
- Volume:
- 51
- Issue:
- 28
- Pages:
- 285401
- Publication date:
- 2018-06-07
- Acceptance date:
- 2018-05-18
- DOI:
- EISSN:
-
1751-8121
- ISSN:
-
1751-8113
- Pubs id:
-
pubs:952693
- URN:
-
uri:e2a89c19-8a16-42aa-8cc9-715508166812
- UUID:
-
uuid:e2a89c19-8a16-42aa-8cc9-715508166812
- Local pid:
- pubs:952693
- Copyright holder:
- IOP Publishing Ltd
- Copyright date:
- 2018
- Notes:
- © 2018 IOP Publishing Ltd. This is the accepted manuscript version of the article. The final version is available online from IOP Publishing Ltd at: 10.1088/1751-8121/aac601
Journal article
Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes
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German Research Foundation
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International Max Planck Research School for Mathematical and Physical Aspects of Gravitation, Cosmology and Quantum Field Theory
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Government of Canada
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Province of Ontario
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