A physical basis for cosmological correlators from cuts
Abstract Significant progress has been made in our understanding of the analytic structure of FRW wavefunction coefficients, facilitated by the development of efficient algorithms to derive the differential equations they satisfy. Moreover, recent findings indicate that the twisted cohomology of the...
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| Format: | Article |
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SpringerOpen
2025-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP03(2025)040 |
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| author | Shounak De Andrzej Pokraka |
| author_facet | Shounak De Andrzej Pokraka |
| author_sort | Shounak De |
| collection | DOAJ |
| description | Abstract Significant progress has been made in our understanding of the analytic structure of FRW wavefunction coefficients, facilitated by the development of efficient algorithms to derive the differential equations they satisfy. Moreover, recent findings indicate that the twisted cohomology of the associated hyperplane arrangement defining FRW integrals overestimates the number of integrals required to define differential equations for the wave-function coefficient. We demonstrate that the associated dual cohomology is automatically organized in a way that is ideal for understanding and exploiting the cut/residue structure of FRW integrals. Utilizing this understanding, we develop a systematic approach to organize compatible sequential residues, which dictates the physical subspace of FRW integrals for any n-site, ℓ-loop graph. In particular, the physical subspace of tree-level FRW wavefunction coefficients is populated by differential forms associated to cuts/residues that factorize the integrand of the wavefunction coefficient into only flat space amplitudes. After demonstrating the validity of our construction using intersection theory, we develop simple graphical rules for cut tubings that enumerate the space of physical cuts and, consequently, differential forms without any calculation. |
| format | Article |
| id | doaj-art-cae98a29477049efaa178f2c71059463 |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-cae98a29477049efaa178f2c710594632025-08-20T03:10:13ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025315710.1007/JHEP03(2025)040A physical basis for cosmological correlators from cutsShounak De0Andrzej Pokraka1Department of Physics, Brown UniversityDepartment of Physics, Brown UniversityAbstract Significant progress has been made in our understanding of the analytic structure of FRW wavefunction coefficients, facilitated by the development of efficient algorithms to derive the differential equations they satisfy. Moreover, recent findings indicate that the twisted cohomology of the associated hyperplane arrangement defining FRW integrals overestimates the number of integrals required to define differential equations for the wave-function coefficient. We demonstrate that the associated dual cohomology is automatically organized in a way that is ideal for understanding and exploiting the cut/residue structure of FRW integrals. Utilizing this understanding, we develop a systematic approach to organize compatible sequential residues, which dictates the physical subspace of FRW integrals for any n-site, ℓ-loop graph. In particular, the physical subspace of tree-level FRW wavefunction coefficients is populated by differential forms associated to cuts/residues that factorize the integrand of the wavefunction coefficient into only flat space amplitudes. After demonstrating the validity of our construction using intersection theory, we develop simple graphical rules for cut tubings that enumerate the space of physical cuts and, consequently, differential forms without any calculation.https://doi.org/10.1007/JHEP03(2025)040Cosmological modelsDifferential and Algebraic GeometryScattering Amplitudes |
| spellingShingle | Shounak De Andrzej Pokraka A physical basis for cosmological correlators from cuts Journal of High Energy Physics Cosmological models Differential and Algebraic Geometry Scattering Amplitudes |
| title | A physical basis for cosmological correlators from cuts |
| title_full | A physical basis for cosmological correlators from cuts |
| title_fullStr | A physical basis for cosmological correlators from cuts |
| title_full_unstemmed | A physical basis for cosmological correlators from cuts |
| title_short | A physical basis for cosmological correlators from cuts |
| title_sort | physical basis for cosmological correlators from cuts |
| topic | Cosmological models Differential and Algebraic Geometry Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP03(2025)040 |
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