Fermionic one-loop amplitudes of the RNS superstring
Abstract We investigate massless n-point one-loop amplitudes of the open RNS superstring with two external fermions and determine their worldsheet integrands. The contributing correlation functions involving spin-1/2 and spin-3/2 operators from the fermion vertices are evaluated to any multiplicity....
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-03-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP03(2018)190 |
| _version_ | 1818203646419009536 |
|---|---|
| author | Seungjin Lee Oliver Schlotterer |
| author_facet | Seungjin Lee Oliver Schlotterer |
| author_sort | Seungjin Lee |
| collection | DOAJ |
| description | Abstract We investigate massless n-point one-loop amplitudes of the open RNS superstring with two external fermions and determine their worldsheet integrands. The contributing correlation functions involving spin-1/2 and spin-3/2 operators from the fermion vertices are evaluated to any multiplicity. Moreover, we introduce techniques to sum these correlators over the spin structures of the worldsheet fermions such as to manifest all cancellations due to spacetime supersymmetry. These spin sums require generalizations of the Riemann identities among Jacobi theta functions, and the results can be expressed in terms of doubly-periodic functions known from the mathematics literature on elliptic multiple zeta values. On the boundary of moduli space, our spin-summed correlators specialize to compact representations of fermionic one-loop integrands for ambitwistor strings. |
| first_indexed | 2024-12-12T03:28:39Z |
| format | Article |
| id | doaj.art-4b02cdefe9fd44d791b75ad5304bb859 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T03:28:39Z |
| publishDate | 2018-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-4b02cdefe9fd44d791b75ad5304bb8592022-12-22T00:39:58ZengSpringerOpenJournal of High Energy Physics1029-84792018-03-012018315310.1007/JHEP03(2018)190Fermionic one-loop amplitudes of the RNS superstringSeungjin Lee0Oliver Schlotterer1Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-InstitutMax-Planck-Institut für Gravitationsphysik, Albert-Einstein-InstitutAbstract We investigate massless n-point one-loop amplitudes of the open RNS superstring with two external fermions and determine their worldsheet integrands. The contributing correlation functions involving spin-1/2 and spin-3/2 operators from the fermion vertices are evaluated to any multiplicity. Moreover, we introduce techniques to sum these correlators over the spin structures of the worldsheet fermions such as to manifest all cancellations due to spacetime supersymmetry. These spin sums require generalizations of the Riemann identities among Jacobi theta functions, and the results can be expressed in terms of doubly-periodic functions known from the mathematics literature on elliptic multiple zeta values. On the boundary of moduli space, our spin-summed correlators specialize to compact representations of fermionic one-loop integrands for ambitwistor strings.http://link.springer.com/article/10.1007/JHEP03(2018)190Scattering AmplitudesSuperstrings and Heterotic Strings |
| spellingShingle | Seungjin Lee Oliver Schlotterer Fermionic one-loop amplitudes of the RNS superstring Journal of High Energy Physics Scattering Amplitudes Superstrings and Heterotic Strings |
| title | Fermionic one-loop amplitudes of the RNS superstring |
| title_full | Fermionic one-loop amplitudes of the RNS superstring |
| title_fullStr | Fermionic one-loop amplitudes of the RNS superstring |
| title_full_unstemmed | Fermionic one-loop amplitudes of the RNS superstring |
| title_short | Fermionic one-loop amplitudes of the RNS superstring |
| title_sort | fermionic one loop amplitudes of the rns superstring |
| topic | Scattering Amplitudes Superstrings and Heterotic Strings |
| url | http://link.springer.com/article/10.1007/JHEP03(2018)190 |
| work_keys_str_mv | AT seungjinlee fermioniconeloopamplitudesofthernssuperstring AT oliverschlotterer fermioniconeloopamplitudesofthernssuperstring |