Comments on T T ¯ double trace deformations and boundary conditions

Cottrell, William; Hashimoto, Akikazu

doi:10.1016/j.physletb.2018.09.068

Title: Comments on $T \bar{T}$ double trace deformations and boundary conditions

Abstract

We study the UV dynamics of deformed conformal field theories formulated as a deformation of generating functions. We explore the issue of non-perturbative completion of the μ expansion by deriving an integral expression using the Fourier/Legendre transform technique, and show that it is more natural to impose Neumann, as opposed to the Dirichlet, boundary condition, for the metric at the cut-off surface recently proposed by McGough, Mezei, and Verlinde. We also comment on interesting connection to boundary conformal field theories.

Authors:: Cottrell, William; Hashimoto, Akikazu

Publication Date:: Fri Feb 01 00:00:00 EST 2019

Research Org.:: Univ. of Wisconsin, Madison, WI (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1488687

Alternate Identifier(s):: OSTI ID: 1612732

Grant/Contract Number:: SC0017647

Resource Type:: Published Article

Journal Name:: Physics Letters. B

Additional Journal Information:: Journal Name: Physics Letters. B Journal Volume: 789 Journal Issue: C; Journal ID: ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS; Astronomy & Astrophysics; Physics

Citation Formats


                    Cottrell, William, and Hashimoto, Akikazu. Comments on T T ¯ double trace deformations and boundary conditions.  Netherlands: N. p., 2019. 
Web.  doi:10.1016/j.physletb.2018.09.068.

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                    Cottrell, William, & Hashimoto, Akikazu. Comments on T T ¯ double trace deformations and boundary conditions.  Netherlands.  https://doi.org/10.1016/j.physletb.2018.09.068

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                    Cottrell, William, and Hashimoto, Akikazu. Fri .  
"Comments on T T ¯ double trace deformations and boundary conditions".  Netherlands.  https://doi.org/10.1016/j.physletb.2018.09.068.

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@article{osti_1488687,

  title        = {Comments on T T ¯ double trace deformations and boundary conditions},

  author       = {Cottrell, William and Hashimoto, Akikazu},

  abstractNote = {We study the UV dynamics of deformed conformal field theories formulated as a deformation of generating functions. We explore the issue of non-perturbative completion of the μ expansion by deriving an integral expression using the Fourier/Legendre transform technique, and show that it is more natural to impose Neumann, as opposed to the Dirichlet, boundary condition, for the metric at the cut-off surface recently proposed by McGough, Mezei, and Verlinde. We also comment on interesting connection to boundary conformal field theories.},

  doi          = {10.1016/j.physletb.2018.09.068},

  journal      = {Physics Letters. B},

  number       = C,

  volume       = 789,

  place        = {Netherlands},

  year         = {Fri Feb 01 00:00:00 EST 2019},

  month        = {Fri Feb 01 00:00:00 EST 2019}

}

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