Pure spinor vertex operators in Siegel gauge and loop amplitude regularization

Autor(es)

Aisaka, Yuri ; Berkovits, Nathan

• Tipo de documento: Artigo Científico
• Fonte: Journal of High Energy Physics; v. N/A, n. 7, p. 30-pg., 2009-07-01.

Resumo

Since the b ghost in the pure spinor formalism is a composite operator depending on non-minimal variables, it is not trivial to impose the Siegel gauge condition b(0)V = 0 on BRST-invariant vertex operators. Using the antifield vertex operator V* of ghost-number +2, we show that Siegel gauge unintegrated vertex operators can be constructed as b(0)V* and Siegel gauge integrated vertex operators as integral dz b(-1)b(0)V*. These Siegel gauge vertex operators depend on the non-minimal variables, so scattering amplitudes involving these operators need to be regularized using the prescription developed previously with Nekrasov. As an example of this regularization prescription, we compute the four-point one-loop amplitude with four Siegel gauge integrated vertex operators. This is the first one-loop computation in the pure spinor formalism that does not require unintegrated vertex operators. (AU)

• Processo FAPESP: 06/59970-5 - Spinores puros na teoria das supercordas.
• Beneficiário: Yuri Aisaka
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 04/11426-0 - Pesquisa e ensino em teoria de cordas
• Beneficiário: Nathan Jacob Berkovits
• Modalidade de apoio: Auxílio à Pesquisa - Temático