Effective action of beta-deformed N = 4 SYM theory: Farewell to two-loop BPS diagrams
| dc.creator | Kuzenko, Sergei M. | |
| dc.creator | McArthur, Ian N. | |
| dc.date | 2007-03-14 | |
| dc.date | 2007-03-27 | |
| dc.date.accessioned | 2026-07-07T11:59:44Z | |
| dc.date.available | 2026-07-07T11:59:44Z | |
| dc.description | Within the background field approach, all two-loop sunset vacuum diagrams, which occur in the Coulomb branch of N = 2 superconformal theories(including N = 4 SYM), obey the BPS condition m_3 = m_1 + m_2, where the masses are generated by the scalars belonging to a background N = 2 vector multiplet. These diagrams can be evaluated exactly, and prove to be homogeneous quadratic functions of the one-loop tadpoles J(m_1^2), J(m_2^2) and J(m_3^2), with the coefficients being rational functions of the squared masses. We demonstrate that, if one switches on the beta-deformation of the N = 4 SYM theory, the BPS condition no longer holds, and then generic two-loop sunset vacuum diagrams with three non-vanishing masses prove to be characterized by the following property: 2(m_1^2 m_2^2 +m_1^2 m_3^2 +m_2^2 m_3^2) > m_1^4 +m_2^4 +m_3^4. In the literature, there exist several techniques to compute such diagrams. For the beta-deformed N = 4 SYM theory, we carry out explicit two-loop calculations of the Kahler potential and F^4 term. Our considerations are restricted to the case of beta real. | |
| dc.description | 42 pages, latex, 1 eps figure; V2: references added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0703126 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0703126 | |
| dc.identifier | Nucl.Phys.B778:159-191,2007 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2007.04.020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/206672 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Effective action of beta-deformed N = 4 SYM theory: Farewell to two-loop BPS diagrams | |
| dc.type | text |