Abstract
We consider states of the D1-D5 CFT where only the left-moving sector is excited. As we deform away from the orbifold point, some of these states will remain BPS while others can ‘lift’. We compute this lifting for a particular family of D1-D5-P states, at second order in the deformation off the orbifold point. We note that the maximally twisted sector of the CFT is special: the covering surface appearing in the correlator can only be genus one while for other sectors there is always a genus zero contribution. We use the results to argue that fuzzball configurations should be studied for the full class including both extremal and near-extremal states; many extremal configurations may be best seen as special limits of near extremal configurations.
Highlights
As we deform away from the orbifold point, some of these states will remain BPS while others can ‘lift’. We compute this lifting for a particular family of D1-D5-P states, at second order in the deformation off the orbifold point
We use the results to argue that fuzzball configurations should be studied for the full class including both extremal and near-extremal states; many extremal configurations may be best seen as special limits of near extremal configurations
One of the most useful examples of a black hole is the hole made with D1, D5, and P charges in string theory
Summary
One of the most useful examples of a black hole is the hole made with D1, D5, and P charges in string theory. At the orbifold point all states which have only left moving excitations are BPS; i.e. they have energy equal to their charge. This need not be true as we deform the theory along some direction in the moduli space of the D1-D5 CFT. We use conformal perturbation theory to compute the lifting at quadratic order in the coupling λ The form of this lifting will tell us about the behavior of string states in the gravity dual, and shed light on the nature of the fuzzball configurations that describe black hole microstates [16,17,18,19,20].
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