Lifting of superconformal descendants in the D1-D5 CFT

A bstract We consider D1-D5-P states in the untwisted sector of the D1-D5 orbifold CFT where we excite one copy of the seed CFT with a left-moving superconformal descendant. When the theory is deformed away from this region of moduli space these states can ‘lift’, despite being BPS at the orbifold p...

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Bibliographic Details
Published in:The journal of high energy physics 2024-04, Vol.2024 (4), p.129-47, Article 129
Main Authors: Hughes, Marcel R.R., Mathur, Samir D., Mehta, Madhur
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Algebra
Balances (scales)
Black holes
Black Holes in String Theory
Classical and Quantum Gravitation
Conformal Field Models in String Theory
Deformation
Elementary Particles
Identities
Lifts
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Supersymmetry
Symmetry
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Summary:A bstract We consider D1-D5-P states in the untwisted sector of the D1-D5 orbifold CFT where we excite one copy of the seed CFT with a left-moving superconformal descendant. When the theory is deformed away from this region of moduli space these states can ‘lift’, despite being BPS at the orbifold point. For descendants formed from the supersymmetry and R-symmetry current modes we obtain explicit results for the expectation value of the lifts for various subfamilies of states at second order in the deformation parameter. A smooth ∼ behaviour is observed in the lifts of these subfamilies for large dimensions. Using covering space Ward identities we then find a compact expression for the lift of the above descendant states valid for arbitrary dimensions. In the large-dimension limit this lift scales as ∼ , strengthening the conjecture that this is a universal property of the lift of D1-D5-P states. We observe that the lift is not simply a function of the total dimension, but depends on how the descendant level is partitioned amongst modes.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2024)129