Three Point Functions in Higher Spin AdS3 Holography with 1/N Corrections

• 疋田, 泰章

  Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University

• Uetoko, Takahiro

  Department of Physical Sciences, College of Science and Engineering, Ritsumeikan University

抄録

We examine three point functions with two scalar operators and a higher spin current in 2d W N minimal model to the next non-trivial order in 1/N expansion. The minimal model was proposed to be dual to a 3d higher spin gauge theory, and 1/N corrections should be interpreted as quantum effects in the dual gravity theory. We develop a simple and systematic method to obtain three point functions by decomposing four point functions of scalar operators with Virasoro conformal blocks. Applying the method, we reproduce known results at the leading order in 1/N and obtain new ones at the next leading order. As confirmation, we check that our results satisfy relations among three point functions conjectured before.

収録刊行物

• Universe

  Universe 3 (4), 70-, 2017-10-09

  MDPI AG

キーワード

• conformal field theory
• W algebra
• AdS/CFT correspondence
• higher spin gauge theory

詳細情報

• CRID: 1050564285816396672
• NII論文ID: 120006497400
• ISSN: 22181997
• DOI: 10.3390/universe3040070
• HANDLE: 2433/233679
• Web Site: http://www.mdpi.com/2218-1997/3/4/70/pdf
• 本文言語コード: en
• 資料種別: journal article
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