The B-field soft theorem and its unification with the graviton and dilaton
Abstract In theories of Einstein gravity coupled with a dilaton and a two-form, a soft theorem for the two-form, known as the Kalb-Ramond B-field, has so far been missing. In this work we fill the gap, and in turn formulate a unified soft theorem valid for gravitons, dilatons and B-fields in any tre...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2017)017 |
| _version_ | 1811299553808220160 |
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| author | Paolo Di Vecchia Raffaele Marotta Matin Mojaza |
| author_facet | Paolo Di Vecchia Raffaele Marotta Matin Mojaza |
| author_sort | Paolo Di Vecchia |
| collection | DOAJ |
| description | Abstract In theories of Einstein gravity coupled with a dilaton and a two-form, a soft theorem for the two-form, known as the Kalb-Ramond B-field, has so far been missing. In this work we fill the gap, and in turn formulate a unified soft theorem valid for gravitons, dilatons and B-fields in any tree-level scattering amplitude involving the three massless states. The new soft theorem is fixed by means of on-shell gauge invariance and enters at the subleading order of the graviton’s soft theorem. In contrast to the subsubleading soft behavior of gravitons and dilatons, we show that the soft behavior of B-fields at this order cannot be fully fixed by gauge invariance. Nevertheless, we show that it is possible to establish a gauge invariant decomposition of the amplitudes to any order in the soft expansion. We check explicitly the new soft theorem in the bosonic string and in Type II superstring theories, and furthermore demonstrate that, at the next order in the soft expansion, totally gauge invariant terms appear in both string theories which cannot be factorized into a soft theorem. |
| first_indexed | 2024-04-13T06:37:34Z |
| format | Article |
| id | doaj.art-7708095bc3db40ef9de7064d8204539a |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T06:37:34Z |
| publishDate | 2017-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-7708095bc3db40ef9de7064d8204539a2022-12-22T02:57:51ZengSpringerOpenJournal of High Energy Physics1029-84792017-10-0120171012810.1007/JHEP10(2017)017The B-field soft theorem and its unification with the graviton and dilatonPaolo Di Vecchia0Raffaele Marotta1Matin Mojaza2The Niels Bohr Institute, University of CopenhagenIstituto Nazionale di Fisica Nucleare, Sezione di Napoli, Complesso Universitario di Monte S. Angelo ed. 6Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-InstitutAbstract In theories of Einstein gravity coupled with a dilaton and a two-form, a soft theorem for the two-form, known as the Kalb-Ramond B-field, has so far been missing. In this work we fill the gap, and in turn formulate a unified soft theorem valid for gravitons, dilatons and B-fields in any tree-level scattering amplitude involving the three massless states. The new soft theorem is fixed by means of on-shell gauge invariance and enters at the subleading order of the graviton’s soft theorem. In contrast to the subsubleading soft behavior of gravitons and dilatons, we show that the soft behavior of B-fields at this order cannot be fully fixed by gauge invariance. Nevertheless, we show that it is possible to establish a gauge invariant decomposition of the amplitudes to any order in the soft expansion. We check explicitly the new soft theorem in the bosonic string and in Type II superstring theories, and furthermore demonstrate that, at the next order in the soft expansion, totally gauge invariant terms appear in both string theories which cannot be factorized into a soft theorem.http://link.springer.com/article/10.1007/JHEP10(2017)017Bosonic StringsScattering AmplitudesSuperstrings and Heterotic Strings |
| spellingShingle | Paolo Di Vecchia Raffaele Marotta Matin Mojaza The B-field soft theorem and its unification with the graviton and dilaton Journal of High Energy Physics Bosonic Strings Scattering Amplitudes Superstrings and Heterotic Strings |
| title | The B-field soft theorem and its unification with the graviton and dilaton |
| title_full | The B-field soft theorem and its unification with the graviton and dilaton |
| title_fullStr | The B-field soft theorem and its unification with the graviton and dilaton |
| title_full_unstemmed | The B-field soft theorem and its unification with the graviton and dilaton |
| title_short | The B-field soft theorem and its unification with the graviton and dilaton |
| title_sort | b field soft theorem and its unification with the graviton and dilaton |
| topic | Bosonic Strings Scattering Amplitudes Superstrings and Heterotic Strings |
| url | http://link.springer.com/article/10.1007/JHEP10(2017)017 |
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