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Paper   IPM / Physic / 6681
School of Physics
  Title:   Instantons in N=2 Sp(N) Superconformal Gauge Theories and The ADS/CFT Correspondence
1.  E. Gava
2.  K.S. Narain
3.  M.H. Sarmadi
  Status:   Published
  Journal: Nucl. Phys. B
  No.:  40
  Vol.:  569
  Year:  2000
  Pages:   183-208
  Supported by:  IPM
We study, using ADHM construction, instanton effects in an \CN=2 superconformal Sp(N) gauge theory, arising as effective field theory on a system of N D-3-branes near an orientifold 7-plane and 8 D-7-branes in type I' string theory. We work out the measure for the collective coordinates of multi-instantons in the gauge theory and compare with the measure for the collective coordinates of (−1)-branes in the presence of 3- and 7-branes in type I' theory. We analyse the large-N limit of the measure and find that it admits two classes of saddle points: In the first class the space of collective coordinates has the geometry of AdS5×S3 which on the string theory side has the interpretation of the D-instantons being stuck on the 7-branes and therefore the resulting moduli space being AdS5×S3, In the second class the geometry is AdS5×S5/Z2 and on the string theory side it means that the D-instantons are free to move in the 10-dimensional bulk. We discuss in detail a correlator of four O(8) flavour currents on the Yang-Mills side, which receives contributions from the first type of saddle points only, and show that it matches with the correlator obtained from F4 coupling on the string theory side, which receives contribution from D-instantons, in perfect accord with the AdS/CFT correspondence. In particular we observe that the sectors with odd number of instantons give contribution to an O(8)-odd invariant coupling, thereby breaking O(8) down to SO(8) in type I' string theory. We finally discuss correlators related to R4, which receive contributions from both saddle points.

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