Mellin amplitudes for AdS₃x S³

Autor(es)

Behan, Connor ; Pitombo, Rodrigo S.

• Tipo de documento: Artigo Científico
• Fonte: Journal of High Energy Physics; v. N/A, n. 11, p. 50-pg., 2024-11-08.

Resumo

There are holographic superconformal theories in all dimensions between two and six which allow arbitrary tree-level four-point functions to be fixed by basic consistency conditions. Although Mellin space is usually the most efficient setting for imposing these contraints, four-point functions in two dimensions have thus far been an exception due to their more intricate dependence on the conformal cross-ratios. In this paper, we introduce a simple fix which exploits the relation between a parity-odd conformal block in two dimensions and a parity-even conformal block in four dimensions. We then apply the resulting toolkit to a study of the paradigmatic holographic theory in two dimensions which is the D1-D5 CFT. For correlators involving Kaluza-Klein modes of the tensor multiplet, this analysis reproduces results which were previously obtained using hidden conformal symmetry. With four Kaluza-Klein modes of the graviton multiplet, it yields new results including a compact formula for the correlators of all pairwise identical operators. (AU)

• Processo FAPESP: 21/14335-0 - ICTP Instituto Sul-Americano para Física Fundamental: um centro regional para Física Teórica
• Beneficiário: Nathan Jacob Berkovits
• Modalidade de apoio: Auxílio à Pesquisa - Projetos Especiais
• Processo FAPESP: 22/05236-1 - Twistores em super-Yang-Mills e AdS_5xS5
• Beneficiário: Rodrigo Schmidt Pitombo
• Modalidade de apoio: Bolsas no Brasil - Doutorado Direto
• Processo FAPESP: 19/24277-8 - Aplicações de teoria quântica de campos
• Beneficiário: Pedro Gil Martins Vieira
• Modalidade de apoio: Auxílio à Pesquisa - Programa SPEC
• Processo FAPESP: 23/03825-2 - A teoria de espalhamento encontra fenômenos críticos
• Beneficiário: Connor Classen Behan
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado