2011/06/30 by Valentina Giangreco M. Puletti, V. Giangreco M. Puletti, T. Mansson +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Holomorphic function #Integrable system #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #String (physics) #Supergravity #Superstring theory #Supersymmetry #hep-th
paper · pdf · doi:10.1007/jhep01(2012)129
20 pages
openalex publication_date 2012/01/01 · arxiv created 2012/02/16 · arxiv updated 2015/05/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In four-dimensional N=4 super Yang-Mills (SYM) the SU(3) sub-sector spanned by purely holomorphic fields is isomorphic to the corresponding mixed one spanned by both holomorphic and antiholomorphic fields. This is no longer the case when one considers the marginally deformed N=4 SYM. The mixed SU(3) sector marginally deformed by a complex parameter beta, i.e. SUq(3) with q=e2 iπβ, has been shown to be integrable at one-loop hep-th/0703150, while it is not the case for the corresponding purely holomorphic one. Moreover, the marginally deformed N=4 SYM also has a gravity dual constructed by Lunin and Maldacena in hep-th/0502086. However, the mixed SUq(3) sector has not been studied from the supergravity point of view. Hence in this note, for the case of purely imaginary marginal β-deformations, we compute the superstring SUq(3) σ-model in the fast spinning string limit and show that, for rational spinning strings, it reproduces the energy computed via Bethe equations.