The AdS/CFT/Unparticle Correspondence

We examine the correspondence between the anti-de Sitter (AdS) description of conformal field theories (CFTs) and the unparticle description of CFTs. We show how unparticle actions are equivalent to holographic boundary actions for fields in AdS, and how massive unparticles provide a new type of infrared cutoff that can be simply implemented in AdS by a soft breaking of conformal symmetry. We also show that processes involving scalar unparticles with dimensions ds < 2 or fermion unparticles with dimensions df < 5/2 are insensitive to ultraviolet cutoff effects. Finally we show that gauge interactions for unparticles can be described by bulk gauge interactions in AdS and that they correspond to minimal gauging of the non-local effective action, and we compute the fermion unparticle production cross-section.

[1]  Y. Liao.  Impact of Unparticles on Asymptotic Freedom and Unification of Gauge Couplings , 2007 .

[2]  P. Fox,et al.  Bounds on Unparticles from the Higgs Sector , 2007, 0705.3092.

[3]  L. Randall,et al.  A Large mass hierarchy from a small extra dimension , 1999, hep-ph/9905221.

[4]  Terning.  Gauging nonlocal Lagrangians. , 1991, Physical review. D, Particles and fields.

[5]  Ads/CFT correspondence and symmetry breaking , 1999, hep-th/9905104.

[6]  J. Espinosa,et al.  The Higgs as a Portal to Plasmon-like Unparticle Excitations , 2008, 0802.2680.

[7]  G. Cacciapaglia,et al.  Dimensions of supersymmetric operators from AdS/CFT , 2009 .

[8]  A. Licht.  The Mandelstam-Terning Line Integral in Unparticle Physics -- A Reply to Galloway, Martin and Stancato , 2008, 0802.4310.

[9]  J. Galloway,et al.  Comments on "Gauge Fields and Unparticles" , 2008, 0802.0313.

[10]  Y. Takahashi.  On the generalized ward identity , 1957 .

[11]  M. Stephanov.  Deconstruction of unparticles , 2007, 0705.3049.

[12]  G. Zhu,et al.  Some phenomenologies of unparticle physics , 2007, 0704.3532.

[13]  L. Randall,et al.  An Alternative to compactification , 1999, hep-th/9906064.

[14]  A. Pomarol,et al.  Holography for fermions , 2004, hep-th/0406257.

[15]  M. Beneke.  Renormalization scheme-invariant large-order perturbation theory and infrared renormalons in QCD , 1993 .

[16]  J. Espinosa,et al.  Unparticles-Higgs Interplay , 2007, 0707.4309.

[17]  H. Georgi.  Unparticle physics. , 2007, Physical review letters.

[18]  J. C. Ward.  An Identity in Quantum Electrodynamics , 1950 .

[19]  G. Cacciapaglia,et al.  Colored Unparticles , 2007, 0708.0005.

[20]  Y. Liao.  Effects of unparticles on running of gauge couplings , 2007, 0708.3327.

[21]  M. Pérez-Victoria.  Randall-Sundrum models and the regularized AdS/CFT correspondence , 2001, hep-th/0105048.

[22]  J. Maldacena.  The Large-N Limit of Superconformal Field Theories and Supergravity , 1997, hep-th/9711200.

[23]  Howard Georgi,et al.  Another odd thing about unparticle physics , 2007, 0704.2457.

[24]  A. Polyakov,et al.  Gauge Theory Correlators from Non-Critical String Theory , 1998, hep-th/9802109.

[25]  M. Cederwall.  Superfield actions for N = 8 and N = 6 conformal theories in three dimensions , 2008, 0809.0318.

[26]  S. Mandelstam.  Quantum electrodynamics without potentials , 1962 .

[27]  R. Peierls,et al.  A study of gauge-invariant non-local interactions , 1954, Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences.

[28]  T. Banks,et al.  On the phase structure of vector-like gauge theories with massless fermions , 1982 .

[29]  M. Neubert.  Unparticle physics with jets , 2007, 0708.0036.

[30]  M. Beneke.  Large-order perturbation theory for a physical quantity , 1993 .

[31]  L. Brown.  Quantum Field Theory , 1992 .