The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
The complete one-loop dilatation operator of =4 super-Yang–Mills theory
Open accessAbstract
We continue the analysis of hep-th/0303060 in the one-loop sector and present the complete psu(2,2|4) dilatation operator of N = 4 Super YangMills theory. This operator generates the matrix of one-loop anomalous dimensions for all local operators in the theory. Using an oscillator representation we show how to apply the dilatation generator to a generic state. By way of example, we determine the planar anomalous dimensions of all operators up to and including dimension 5.5, where we also find some evidence for integrability. Finally, we investigate a number of subsectors of N = 4 SYM in which the dilatation operator simplifies. Among these we find the previously considered so(6) and su(2) subsectors, a su(2|4) subsector isomorphic to the BMN matrix model at one-loop, a u(2|3) supersymmetric subsector of nearly eighth-BPS states and, last but not least, a non-compact sl(2) subsector whose dilatation operator lifts uniquely to the full theory.
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Cites
The large $N$ limit of superconformal field theories and supergravity
Maldacena, J. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a1 · Cited by 14,524
Anti de Sitter space and holography
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a2 · Cited by 13,070
Gauge theory correlators from non-critical string theory
Gubser, S. S., Klebanov, I. R., & Polyakov, A. M. (1998) · Physics Letters B · doi:10.1016/s0370-2693(98)00377-3 · Cited by 9,307
Gauge Theory Correlators from Non-Critical String Theory
Gubser, S. S., Klebanov, I. R., & Polyakov, A. M. (1998) · arXiv · doi:10.48550/arxiv.hep-th/9802109 · Cited by 9,307
Cited by
Classical/quantum integrability in AdS/CFT
A.Kazakov, V, Marshakov, A., A.Minahan, J., & Zarembo, K. (2004) · Journal of High Energy Physics · doi:10.1088/1126-6708/2004/05/024 · Cited by 567
Bern, Z., Czakon, M., Dixon, L. J., Kosower, D. A., & Smirnov, V. A. (2007) · Physical Review D · doi:10.1103/physrevd.75.085010 · Cited by 414
The dilatation operator of N=4 super Yang–Mills theory and integrability
Beisert, N. (2004) · Physics Reports · doi:10.1016/j.physrep.2004.09.007 · Cited by 386
Self-citationLax pair for strings in Lunin-Maldacena background
Frolov, S. (2005) · Journal of High Energy Physics · doi:10.1088/1126-6708/2005/05/069 · Cited by 375
Bern, Z., Dixon, L. J., Kosower, D. A., Roiban, R., Spradlin, M., Vergu, C., & Volovich, A. (2008) · Physical Review D · doi:10.1103/physrevd.78.045007 · Cited by 342
Metadata
- Authors
- Beisert, N.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 2004-01
- Volume
- 676
- Issue
- 1-2
- Pages
- 3-42
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2167525103
- Cited by
- 457
- References
- 4
- FWCI
- 31.80
- Type
- journal article
- Language
- en
- Open access
- green
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