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Flowing between fermionic fixed points

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Abstract

We study holographic Wilsonian renormalization group flows for bulk spinor fields in AdS. We use this to compute beta functions for a number of double trace fermionic operators in the dual conformal field theory.

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References

  1. I. Heemskerk and J. Polchinski, Holographic and Wilsonian renormalization groups, JHEP 06 (2011) 031 [arXiv:1010.1264] [INSPIRE].

    Article  ADS  Google Scholar 

  2. T. Faulkner, H. Liu and M. Rangamani, Integrating out geometry: holographic Wilsonian RG and the membrane paradigm, JHEP 08 (2011) 051 [arXiv:1010.4036] [INSPIRE].

    ADS  Google Scholar 

  3. J. de Boer, E.P. Verlinde and H.L. Verlinde, On the holographic renormalization group, JHEP 08 (2000) 003 [hep-th/9912012] [INSPIRE].

    Article  Google Scholar 

  4. J. de Boer, The holographic renormalization group, Fortsch. Phys. 49 (2001) 339 [hep-th/0101026] [INSPIRE].

    Article  MATH  ADS  Google Scholar 

  5. N. Iqbal and H. Liu, Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm, Phys. Rev. D 79 (2009) 025023 [arXiv:0809.3808] [INSPIRE].

    ADS  Google Scholar 

  6. D. Nickel and D.T. Son, Deconstructing holographic liquids, New J. Phys. 13 (2011) 075010 [arXiv:1009.3094] [INSPIRE].

    Article  ADS  Google Scholar 

  7. S.-J. Sin and Y. Zhou, Holographic Wilsonian RG flow and sliding membrane paradigm, JHEP 05 (2011) 030 [arXiv:1102.4477] [INSPIRE].

    Article  ADS  Google Scholar 

  8. N. Evans, K.-Y. Kim and M. Magou, Holographic Wilsonian renormalization and chiral phase transitions, arXiv:1107.5318 [INSPIRE].

  9. P. Breitenlohner and D.Z. Freedman, Stability in gauged extended supergravity, Annals Phys. 144 (1982) 249 [INSPIRE].

    Article  MATH  ADS  MathSciNet  Google Scholar 

  10. I.R. Klebanov and E. Witten, AdS/CFT correspondence and symmetry breaking, Nucl. Phys. B 556 (1999) 89 [hep-th/9905104] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  11. S.S. Gubser and I. Mitra, Double trace operators and one loop vacuum energy in AdS/CFT, Phys. Rev. D 67 (2003) 064018 [hep-th/0210093] [INSPIRE].

    ADS  MathSciNet  Google Scholar 

  12. S.S. Gubser and I.R. Klebanov, A universal result on central charges in the presence of double trace deformations, Nucl. Phys. B 656 (2003) 23 [hep-th/0212138] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  13. T. Hartman and L. Rastelli, Double-trace deformations, mixed boundary conditions and functional determinants in AdS/CFT, JHEP 01 (2008) 019 [hep-th/0602106] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  14. E. Witten, Multitrace operators, boundary conditions and AdS/CFT correspondence, hep-th/0112258 [INSPIRE].

  15. M. Berkooz, A. Sever and A. Shomer, ’Double tracedeformations, boundary conditions and space-time singularities, JHEP 05 (2002) 034 [hep-th/0112264] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  16. E. Pomoni and L. Rastelli, Large-N field theory and AdS tachyons, JHEP 04 (2009) 020 [arXiv:0805.2261] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  17. A. Dymarsky, I. Klebanov and R. Roiban, Perturbative search for fixed lines in large-N gauge theories, JHEP 08 (2005) 011 [hep-th/0505099] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  18. E. Kiritsis and V. Niarchos, Interacting string multi-verses and holographic instabilities of massive gravity, Nucl. Phys. B 812 (2009) 488 [arXiv:0808.3410] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  19. L. Vecchi, The conformal window of deformed CFTs in the planar limit, Phys. Rev. D 82 (2010) 045013 [arXiv:1004.2063] [INSPIRE].

    ADS  Google Scholar 

  20. N. Iqbal and H. Liu, Real-time response in AdS/CFT with application to spinors, Fortsch. Phys. 57 (2009) 367 [arXiv:0903.2596] [INSPIRE].

    Article  MATH  MathSciNet  ADS  Google Scholar 

  21. A. Allais, Double-trace deformations, holography and the c-conjecture, JHEP 11 (2010) 040 [arXiv:1007.2047] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  22. J.N. Laia and D. Tong, A holographic flat band, arXiv:1108.1381 [INSPIRE].

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Correspondence to David Tong.

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ArXiv ePrint: 1108.2216

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Laia, J.N., Tong, D. Flowing between fermionic fixed points. J. High Energ. Phys. 2011, 131 (2011). https://doi.org/10.1007/JHEP11(2011)131

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  • DOI: https://doi.org/10.1007/JHEP11(2011)131

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