Extended DBI and its generalizations from graded soft theorems
| Autor: | Jiří Novotný, Petr Vaško, Karol Kampf |
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| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Pure mathematics Sigma model Generalization FOS: Physical sciences Effective Field Theories QC770-798 Type (model theory) Action (physics) Amplitude Nonperturbative Effects High Energy Physics - Theory (hep-th) Nuclear and particle physics. Atomic energy. Radioactivity Homogeneous space Uniqueness Special case Scattering Amplitudes Sigma Models |
| Zdroj: | Journal of High Energy Physics, Vol 2021, Iss 10, Pp 1-52 (2021) Journal of High Energy Physics |
| DOI: | 10.48550/arxiv.2107.04587 |
| Popis: | We analyze a theory known as extended DBI, which interpolates between DBI and the $U(N)\times U(N)/U(N)$ non-linear sigma model and represents a nontrivial example of theories with mixed power counting. We discuss symmetries of the action and their geometrical origin; the special case of SU(2) extended DBI theory is treated in great detail. The revealed symmetries lead to a new type of graded soft theorem that allows us to prove on-shell constructibility of the tree-level S-matrix. It turns out that the on-shell constructibility of the full extended DBI remains valid, even if its DBI sub-theory is modified in such a way to preserve its own on-shell constructibility. We thus propose a slight generalization of the DBI sub-theory, which we call 2-scale DBI theory. Gluing it back to the rest of the extended DBI theory gives a new set of on-shell reconstructible theories -- the 2-scale extended DBI theory and its descendants. The uniqueness of the parent theory is confirmed by the bottom-up approach that uses on-shell amplitude methods exclusively. Comment: 52 pages, 6 figures, 3 appendices. v2: minor changes, matches accepted version in JHEP |
| Databáze: | OpenAIRE |
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