Supergravity limit of genus two modular graph functions in the worldline formalism
We consider the contributions up to the D10R4 terms in the low momentum expansion of the two loop four graviton amplitude in maximal supergravity that arise in the field theory limit of genus two modular graph functions that result from the low momentum expansion of the four graviton amplitude in to...
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| Format: | Article |
| Language: | English |
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Elsevier
2018-07-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269318304507 |
| _version_ | 1811331691112824832 |
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| author | Anirban Basu |
| author_facet | Anirban Basu |
| author_sort | Anirban Basu |
| collection | DOAJ |
| description | We consider the contributions up to the D10R4 terms in the low momentum expansion of the two loop four graviton amplitude in maximal supergravity that arise in the field theory limit of genus two modular graph functions that result from the low momentum expansion of the four graviton amplitude in toroidally compactified type II string theory, using the worldline formalism of the first quantized superparticle. The expression for the two loop supergravity amplitude in the worldline formalism allows us to obtain contributions from the individual graphs, unlike the expression for the same amplitude obtained using unitarity cuts which only gives the total contribution from the sum of all the graphs. Our two loop analysis is field theoretic, and does not make explicit use of the genus two string amplitude. |
| first_indexed | 2024-04-13T16:24:27Z |
| format | Article |
| id | doaj.art-101312519f214f2ca30956153038cf46 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-13T16:24:27Z |
| publishDate | 2018-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-101312519f214f2ca30956153038cf462022-12-22T02:39:47ZengElsevierPhysics Letters B0370-26932018-07-01782570577Supergravity limit of genus two modular graph functions in the worldline formalismAnirban Basu0Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhusi, Allahabad 211019, IndiaWe consider the contributions up to the D10R4 terms in the low momentum expansion of the two loop four graviton amplitude in maximal supergravity that arise in the field theory limit of genus two modular graph functions that result from the low momentum expansion of the four graviton amplitude in toroidally compactified type II string theory, using the worldline formalism of the first quantized superparticle. The expression for the two loop supergravity amplitude in the worldline formalism allows us to obtain contributions from the individual graphs, unlike the expression for the same amplitude obtained using unitarity cuts which only gives the total contribution from the sum of all the graphs. Our two loop analysis is field theoretic, and does not make explicit use of the genus two string amplitude.http://www.sciencedirect.com/science/article/pii/S0370269318304507 |
| spellingShingle | Anirban Basu Supergravity limit of genus two modular graph functions in the worldline formalism Physics Letters B |
| title | Supergravity limit of genus two modular graph functions in the worldline formalism |
| title_full | Supergravity limit of genus two modular graph functions in the worldline formalism |
| title_fullStr | Supergravity limit of genus two modular graph functions in the worldline formalism |
| title_full_unstemmed | Supergravity limit of genus two modular graph functions in the worldline formalism |
| title_short | Supergravity limit of genus two modular graph functions in the worldline formalism |
| title_sort | supergravity limit of genus two modular graph functions in the worldline formalism |
| url | http://www.sciencedirect.com/science/article/pii/S0370269318304507 |
| work_keys_str_mv | AT anirbanbasu supergravitylimitofgenustwomodulargraphfunctionsintheworldlineformalism |