Anomalous radius shift in AdS(4)/CFT(3)
Feb, 2009Citations per year
Abstract: (arXiv)
We study higher order corrections to the radius/M2-brane charge of AdS_4 x S^7/Z_k. There are two sources of corrections: one from the orbifold singularity of C^4/Z_k, and the other from the discrete torsion associated with the homology 3-cycle H_3(S^7/Z_k,Z) = Z_k. We give a precise formula for the charge shift. These corrections are relevant, for example, at two loops in the AdS_4 x CP^3 sigma model, and therefore for the strong coupling test of the all loop Bethe ansatz.Note:
- 16 pages
- AdS/CFT correspondence
- correction: higher-order
- orbifold: singularity
- torsion: discrete
- field theory: conformal
- strong coupling
- Bethe ansatz
- sigma model
- homology
- M-theory
References(60)
Figures(0)
- ,
- ,
- ,
- •
- JHEP 10 (2008) 091
- e-Print:•
- •
- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
- e-Print:•
- ,
- ,
- •
- JHEP 11 (2008) 043
- e-Print:•
- ,
- •
- Nucl.Phys.B 533 (1998) 109-126
- e-Print:•
- •
- Phys.Rev.D 58 (1998) 125003
- e-Print:•
- ,
- •
- JHEP 01 (2009) 016
- e-Print:•
- •
- JHEP 09 (2008) 010
- e-Print:•
- •
- JHEP 09 (2008) 040
- e-Print:•
- •
- JHEP 10 (2008) 053
- e-Print:•
- •
- JHEP 10 (2008) 038
- e-Print:•
- •
- JHEP 09 (2008) 129
- e-Print:•
- •
- Nucl.Phys.B 808 (2009) 80-87
- e-Print:•
- ,
- ,
- •
- Nucl.Phys.B 810 (2009) 115-134
- e-Print:•
- ,
- ,
- ,
- •
- JHEP 12 (2008) 008
- e-Print:•
- ,
- •
- JHEP 02 (2009) 040
- e-Print:•
- •
- JHEP 08 (2008) 054
- e-Print:•
- •
- JHEP 09 (2008) 096
- e-Print:•
- ,
- ,
- ,
- ,
- •
- Nucl.Phys.B 810 (2009) 150-173
- e-Print:•
- ,
- ,
- •
- JHEP 11 (2008) 066
- e-Print:•
- •
- JHEP 12 (2008) 101
- e-Print:•
- ,
- ,
- •
- JHEP 11 (2008) 089
- e-Print:•
- •
- JHEP 09 (2008) 092
- e-Print:•