Lifting of D1-D5-P states

Hampton, Shaun; Mathur, Samir D.; Zadeh, Ida G.

doi:10.1007/jhep01(2019)075

Cited by 38 publications

(70 citation statements)

References 67 publications

(75 reference statements)

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“…AdS 3 × S 2 × M 5 , so in this work we will focus on those for which M 5 supports an SU(2)structure 6 . We do this in part to try and ensure that we realise small N = (4, 0) rather than some larger superconformal algebra which contains this.…”

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confidence: 99%

AdS3 solutions in massive IIA with small $$ \mathcal{N} $$ = (4, 0) supersymmetry

Lozano

Macpherson

Núñez

et al. 2020

J. High Energ. Phys.

257

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We study AdS 3 × S 2 solutions in massive IIA that preserve small N = (4, 0) supersymmetry in terms of an SU(2)-structure on the remaining internal space. We find two new classes of solutions that are warped products of the form AdS 3 ×S 2 ×M 4 ×R. For the first, M 4 =CY 2 and we find a generalisation a D4-D8 system involving possible additional branes. For the second, M 4 need only be Kahler, and we find a generalisation of the T-dual of solutions based on D3branes wrapping curves in the base of an elliptically fibered Calabi-Yau 3-fold. Within these classes we find many new locally compact solutions that are foliations of AdS 3 × S 2 × CY 2 over an interval, bounded by various D brane and O plane behaviours. We comment on how these local solutions may be used as the building blocks of infinite classes of global solutions glued together with defect branes. Utilising T-duality we find two new classes of AdS 3 × S 3 × M 4 solutions in IIB. The first backreacts D5s and KK monopoles on the D1-D5 near horizon. The second is a generalisation of the solutions based on D3-branes wrapping curves in the base of an elliptically fibered CY 3 that includes non trivial 3-form flux.

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confidence: 99%

AdS3 solutions in massive IIA with small $$ \mathcal{N} $$ = (4, 0) supersymmetry

Lozano

Macpherson

Núñez

et al. 2020

J. High Energ. Phys.

257

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“…Here M 0 nn gives the shift in weight of the marginal field Φ = σ ε under the perturbation Φ = σ 0 , and n denotes the numbers of non-zero entries in ε. Because of charge conservation there are only 17 distinct values out of the 216 indices -see the discussion above(5.19).6 Marginal twisted fields: T 8 /Z 26.1 Torus correlators of descendant fieldsHere we want to investigate the lifting of marginal fields of the form ∂X − 1 2∂ To compute their correlation functions, we proceed again by mapping to the double cover. This means that we need to compute correlation functions of bosonic descendants on the torus.Our starting point for this is the torus correlation function for bosonic operators of…”

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confidence: 99%

Conformal perturbation theory for twisted fields

Keller

Zadeh

2020

J. Phys. A: Math. Theor.

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We investigate second order conformal perturbation theory for Z 2 orbifolds of conformal field theories in two dimensions. To evaluate the necessary twisted sector correlation functions and their integrals, we map them from the sphere to its torus double cover. We discuss how this relates crossing symmetry to the modular group, and introduce a regularization scheme on the cover that allows to evaluate the integrals numerically. These methods do not require supersymmetry. As an application, we show that in the torus orbifold of 8 and 16 free bosons, Z 2 twist fields are marginal at first order, but stop being marginal at second order.

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“…(ii) If the covering surface is a higher genus surface, then computing the correlator is much harder. In [20] it was shown that the covering surface is a sphere when the first D joins two copies of the CFT, and the second D undoes this join. But the covering space is a torus if the first D splits a multiwound copy of the CFT, and the second D rejoins the components.…”

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confidence: 99%

“…(b) The above relation between δḠ andḠ (1) is relevant to an issue discussed in [20]. If we are computing the lift of the dimension to order λ 2 , then should we have to worry about the corrections to the state upto order λ 2 ?…”

Section: The Goal Of This Papermentioning

confidence: 99%

“…, then will the corrections |O (1) , |O (2) be involved in the lift? In computations using the path integral (1.4) one just uses the leading order state |O (0) in the initial and final states, and in [20] is was shown that for computation of the lift upto order λ 2 this is indeed correct (higher order computations will however need the change of the state in general).…”

Section: The Goal Of This Papermentioning

confidence: 99%

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Lifting of states in 2-dimensional N = 4 supersymmetric CFTs

Guo

Mathur

2019

J. High Energ. Phys.

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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'. The lifting can be computed by a path integral containing two twist deformations; however, the relevant 4-point amplitude cannot be computed explicitly in many cases. We analyze an older proposal by Gava and Narain where the lift can be computed in terms of a finite number of 3-point functions. A direct Hamiltonian decomposition of the path integral involves an infinite number of 3-point functions, as well the first order correction to the starting state. We note that these corrections to the state account for the infinite number of 3-point functions arising from higher energy states, and one can indeed express the path-integral result in terms of a finite number of 3-point functions involving only the leading order states that are degenerate. The first order correction to the superchargeḠ (1) gets replaced by a projectionḠ (P ) ; this projected operator can also be used to group the states into multiplets whose members have the same lifting. 1 guo.1281@osu.edu 2 mathur.16@osu.eduString theory provides a very useful model for black holes: the D1D5P extremal hole in 4+1 noncompact dimensions [1,2,3,4]. We compactify IIB string theory aswhere M 4 is K3 or T 4 . The bound state of D1 and D5 branes generates a 1+1 dimensional CFT. The P charge is obtained by adding left moving excitations in this CFT.In the moduli space of the CFT, it is believed that there is an 'orbifold point' where the theory can be expressed in terms of free bosons and fermions, subject only to an orbifolding constraint [5,6,7,8,9,10,11,12]. The CFT at the orbifold point is given by a 1+1 dimensional sigma model with target space (M) N /S N , where S N is the symmetric group. The dual gravity theory lives on AdS 3 × S 3 × M 4 . A low curvature AdS emerges at values of the moduli far from the orbifold point.

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Lifting of D1-D5-P states

Cited by 38 publications

References 67 publications

AdS3 solutions in massive IIA with small $$ \mathcal{N} $$ = (4, 0) supersymmetry

AdS3 solutions in massive IIA with small $$ \mathcal{N} $$ = (4, 0) supersymmetry

Conformal perturbation theory for twisted fields

Lifting of states in 2-dimensional N = 4 supersymmetric CFTs

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