Abstract
We explore the n-twisted Ramond sector of the deformed two-dimensional mathcal{N} = (4, 4) superconformal (T4)N/SN orbifold theory, describing bound states of D1-D5 brane system in type IIB superstring. We derive the large-N limit of the four-point function of two R-charged twisted Ramond fields and two marginal deformation operators at the free orbifold point. Specific short-distance limits of this function provide several structure constants, the OPE fusion rules and the conformal dimensions of a few non-BPS operators. The second order correction (in the deformation parameter) to the two-point function of the Ramond fields, defined as double integrals over this four-point function, turns out to be UV-divergent, requiring an appropriate renormalization of the fields. We calculate the corrections to the conformal dimensions of the twisted Ramond ground states at the large-N limit. The same integral yields the first-order deviation from zero of the structure constant of the three-point function of two Ramond fields and one deformation operator. Similar results concerning the correction to the two-point function of bare twist operators and their renormalization are also obtained.
Highlights
Can find correspondences between the geometries and Ramond states in many cases where the latter are BPS-protected from renormalization
We explore the n-twisted Ramond sector of the deformed two-dimensional N = (4, 4) superconformal (T 4)N /SN orbifold theory, describing bound states of D1-D5 brane system in type IIB superstring
The present paper investigates the effects on the conformal properties of twisted ground states in the N = (4, 4) orbifold SCFT2 when the theory is deformed by a marginal scalar modulus operator λO[(2in] t) [20, 21, 45,46,47]
Summary
A marginal deformation of the free orbifold turns the theory into an interacting SCFT, with the action. The “scalar modulus” interaction operator O[(2in] t) is marginal, with total conformal dimension ∆ = h + h = 2. This dimension should not change under renormalization. Of a neutral and hermitian (for simplicity) operator O is still fixed by conformal symmetry, the effect of the marginal perturbation has to be a change of its conformal dimension. The integral J gives the first-order λ-correction to the particular structure constant in (3.5) This can be seen from the functional integral expansion of the corresponding three-point function. To compute the integral (3.9), we need to be able to calculate the four-point function (3.6) in the free orbifold theory.
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