Operator mixing for string states in the D1-D5 CFT near the orbifold point

Benjamin A. Burrington; Amanda W. Peet; Ida G. Zadeh

doi:10.1103/physrevd.87.106001

Operator mixing for string states in the D1-D5 CFT near the orbifold point

Physical Review D ◽

10.1103/physrevd.87.106001 ◽

2013 ◽

Vol 87 (10) ◽

Cited By ~ 11

Author(s):

Benjamin A. Burrington ◽

Amanda W. Peet ◽

Ida G. Zadeh

Keyword(s):

Orbifold Point

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Lifting 1/4-BPS states in AdS3× S3 × T4

Journal of High Energy Physics ◽

10.1007/jhep10(2021)089 ◽

2021 ◽

Vol 2021 (10) ◽

Author(s):

Nathan Benjamin ◽

Christoph A. Keller ◽

Ida G. Zadeh

Keyword(s):

Perturbation Theory ◽

Moduli Space ◽

Second Order ◽

Generic Point ◽

Orbifold Point ◽

Bps States

Abstract We establish a framework for doing second order conformal perturbation theory for the symmetric orbifold SymN(T4) to all orders in N. This allows us to compute how 1/4-BPS states of the D1-D5 system on AdS3 × S3 × T4 are lifted as we move away from the orbifold point. As an application we confirm a previous observation that in the large N limit not all 1/4-BPS states that can be lifted do get lifted. This provides evidence that the supersymmetric index actually undercounts the number of 1/4-BPS states at a generic point in the moduli space.

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Lifting at higher levels in the D1D5 CFT

Journal of High Energy Physics ◽

10.1007/jhep11(2020)145 ◽

2020 ◽

Vol 2020 (11) ◽

Author(s):

Bin Guo ◽

Samir D. Mathur

Keyword(s):

Ground State ◽

Second Order ◽

Large Set ◽

State Sector ◽

Orbifold Point ◽

The Right ◽

Bps States

Abstract The D1D5P system has a large set of BPS states at its orbifold point. Perturbing away from this ‘free’ point leads to some states joining up into long supermultiplets and lifting, while other states remain BPS. We consider the simplest orbifold which exhibits this lift: that with N = 2 copies of the free c = 6 CFT. We write down the number of lifted and unlifted states implied by the index at all levels upto 6. We work to second order in the perturbation strength λ. For levels upto 4, we find the wavefunctions of the lifted states, their supermultiplet structure and the value of the lift. All states that are allowed to lift by the index are in fact lifted at order O(λ2). We observe that the unlifted states in the untwisted sector have an antisymmetry between the copies in the right moving Ramond ground state sector, and extend this observation to find classes of states for arbitrary N that will remain unlifted to O(λ2).

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