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Geometry and symmetries in N=4 super-Yang-Mills theory
| Content Provider | Semantic Scholar |
|---|---|
| Author | Schwab, Burkhard U. W. |
| Copyright Year | 2013 |
| Abstract | In three interdependent parts, the geometry of N -extended superspaces is studied, the symmetries of a novel type of Wilson loop on full N = 4 superspace are inspected and an additional symmetry generator residing outside of the hidden Yangian symmetry algebra Y[psu(2, 2|4)] of the planar tree-level scattering amplitudes of N = 4 super Yang-Mills theory is identified and put into context. In the first part, the geometry of flag manifolds is used to illustrate correspondences between theories on different types of superspaces—most importantly, N = 4 SYM on Minkowski superspace and holomorphic Chern-Simons theory on twistor space as well as N = 3 SYM on full Minkowski space and complex-real Chern-Simons-theory on N = 3 harmonic superspace. The second part develops a treatment of Wilson loops on null polygonal contours in full N = 4 superspace and ambitwistor space A3|4 and inspects the symmetries of observables constructed from the one-loop expectation value 〈Wn〉. The final part proves the existence of an additional symmetry generator called bonus symmetry B̂ of the tree-level amplitudes and leading singularities in planar limit N = 4 SYM. |
| File Format | PDF HTM / HTML |
| DOI | 10.3929/ethz-a-010050039 |
| Alternate Webpage(s) | https://www.research-collection.ethz.ch/bitstream/handle/20.500.11850/77326/eth-7900-01.pdf?isAllowed=y&sequence=1 |
| Alternate Webpage(s) | https://www.research-collection.ethz.ch/bitstream/handle/20.500.11850/77326/eth-7900-02.pdf?isAllowed=y&sequence=2 |
| Alternate Webpage(s) | http://inspirehep.net/record/1373458/files/eth-7900-02.pdf |
| Alternate Webpage(s) | https://doi.org/10.3929/ethz-a-010050039 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
