Multi-Instanton Calculus and the AdS/CFT Correspondence in N=4 Superconformal Field Theory Export

@article{citeulike:5961362, abstract = {We present a self-contained study of ADHM multi-instantons in SU(N) gauge theory, especially the novel interplay with supersymmetry and the large-N limit. We give both field- and string-theoretic derivations of the N=4 supersymmetric multi-instanton action and collective coordinate integration measure. As a central application, we focus on certain n-point functions G\_n, n=16, 8 or 4, in N=4 SU(N) gauge theory at the conformal point (as well as on related higher-partial-wave correlators); these are correlators in which the 16 exact supersymmetric and superconformal fermion zero modes are saturated. In the large-N limit, for the first time in any 4-dimensional theory, we are able to evaluate all leading-order multi-instanton contributions exactly. We find compelling evidence for Maldacena's conjecture: (1) The large-N k-instanton collective coordinate space has the geometry of a single copy of AdS\_5 x S^5. (2) The integration measure on this space includes the partition function of 10-dimensional N=1 SU(k) gauge theory dimensionally reduced to 0 dimensions, matching the description of D-instantons in Type IIB string theory. (3) In exact agreement with Type IIB string calculations, at the k-instanton level, G\_n = \sqrt{N} g^8 k^{n-7/2} e^{2\pi ik\tau} \sum\_{d|k} d^{-2} F\_n(x\_1,...,x\_n), where F\_n is identical to a convolution of n bulk-to-boundary supergravity propagators.}, archivePrefix = {arXiv}, author = {Dorey, N. and Hollowood, T. J. and Khoze, V. V. and Mattis, M. P. and Vandoren, S.}, citeulike-article-id = {5961362}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/9901128}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/9901128}, citeulike-linkout-2 = {http://dx.doi.org/10.1016/S0550-3213(99)00193-5}, day = {18}, doi = {10.1016/S0550-3213(99)00193-5}, eprint = {hep-th/9901128}, keywords = {ads-cft, instanton, msym, supersymmetry}, month = {Oct}, posted-at = {2009-10-18 17:01:43}, priority = {2}, title = {Multi-Instanton Calculus and the AdS/CFT Correspondence in N=4 Superconformal Field Theory}, url = {http://dx.doi.org/10.1016/S0550-3213(99)00193-5}, year = {1999} }

TY - JOUR ID - citeulike:5961362 L3 - citeulike-article-id:5961362 N2 - We present a self-contained study of ADHM multi-instantons in SU(N) gauge theory, especially the novel interplay with supersymmetry and the large-N limit. We give both field- and string-theoretic derivations of the N=4 supersymmetric multi-instanton action and collective coordinate integration measure. As a central application, we focus on certain n-point functions G_n, n=16, 8 or 4, in N=4 SU(N) gauge theory at the conformal point (as well as on related higher-partial-wave correlators); these are correlators in which the 16 exact supersymmetric and superconformal fermion zero modes are saturated. In the large-N limit, for the first time in any 4-dimensional theory, we are able to evaluate all leading-order multi-instanton contributions exactly. We find compelling evidence for Maldacena's conjecture: (1) The large-N k-instanton collective coordinate space has the geometry of a single copy of AdS_5 x S^5. (2) The integration measure on this space includes the partition function of 10-dimensional N=1 SU(k) gauge theory dimensionally reduced to 0 dimensions, matching the description of D-instantons in Type IIB string theory. (3) In exact agreement with Type IIB string calculations, at the k-instanton level, G_n = \sqrt{N} g^8 k^{n-7/2} e^{2\pi ik\tau} \sum_{d|k} d^{-2} F_n(x_1,...,x_n), where F_n is identical to a convolution of n bulk-to-boundary supergravity propagators. TI - Multi-Instanton Calculus and the AdS/CFT Correspondence in N=4 Superconformal Field Theory KW - ads-cft KW - instanton KW - msym KW - supersymmetry AU - Dorey, N AU - Hollowood, TJ AU - Khoze, VV AU - Mattis, MP AU - Vandoren, S PY - 1999/Oct/18/ UR - http://dx.doi.org/10.1016/S0550-3213(99)00193-5 ER -