Full Lagrangian and Hamiltonian for quantum strings on AdS4 × CP3 in a near plane wave limit

Davide Astolfi, Valentina Giangreco M. Puletti, Gianluca Grignani, Troels Harmark, Marta Orselli

Rannsóknarafurð: Framlag til fræðitímaritsGreinritrýni

15 Tilvitnanir (Scopus)

Útdráttur

We find the full interacting Lagrangian and Hamiltonian for quantum strings in a near plane wave limit of AdS4 × CP3,. The leading curvature corrections give rise to cubic and quartic terms in the Lagrangian and Hamiltonian that we compute in full. The Lagrangian is found as the type IIA Green-Schwarz superstring in the light-cone gauge employing a superspace construction with 32 grassmann-odd coordinates. The light-cone gauge for the fermions is non-trivial since it should commute with the supersymmetry condition. We provide a prescription to properly fix the κ-symmetry gauge condition to make it consistent with light-cone gauge. We use fermionic field redefinitions to find a simpler Lagrangian. To construct the Hamiltonian a Dirac procedure is needed in order to properly keep into account the fermionic second class constraints. We combine the field redefinition with a shift of the fermionic phase space variables that reduces Dirac brackets to Poisson brackets. This results in a completely well-defined and explicit expression for the full interacting Hamiltonian up to and including terms quartic in the number of fields.

Upprunalegt tungumálEnska
Númer greinar79
FræðitímaritJournal of High Energy Physics
Bindi2010
Númer tölublaðs4
DOI
ÚtgáfustaðaÚtgefið - 2010

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