AdS2 quantum gravity and string theory | Zendy

Andrew Strominger | Zendy

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AdS₂ quantum gravity and string theory

Author(s) -

Andrew Strominger

Publication year - 1999

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/1999/01/007

Subject(s) - physics , virasoro algebra , compactification (mathematics) , mathematical physics , conformal field theory , operator product expansion , quantum gravity , string theory , central charge , anti de sitter space , quantum electrodynamics , quantum mechanics , conformal map , pure mathematics , quantum , mathematics , geometry , algebra over a field , cellular algebra , algebra representation

AdS2 has an SL(2,R) isometry group. It is argued that in the context ofquantum gravity on AdS2 this group is enlarged to the full infinite-dimensional1+1 conformal group. Massive scalar fields are coupled to AdS2 gravity andshown to have associated conformal weights h(m) shifted by their mass. Forintegral values of h primary boundary operators are obtained as h normalderivatives of the scalar field. AdS2 string theories arise in the`very-near-horizon' limit of S1-compactified AdS3 string theories. This limitcorresponds to energies far below the compactification scale. The dualconformal field theory has one null dimension and can in certain cases bedescribed as the discrete light cone quantization of a two-dimensional deformedsymmetric-product conformal field theory. Evidence is given that the AdS2Virasoro algebra is related to the right-moving AdS3 Virasoro algebra by atopological twist which shifts the central charge to zero.Comment: 20 pages. v2: Reference adde

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