| DATE: |
2005-05-10 11:00 - |
| PLACE: |
Kenkyu Honkan 2F RM220 |
| TITLE: |
BMN Operators from Wilson Loop |
| CONTACT: |
tango |
| SPEAKER: |
Dr. Akitsugu Miwa (Kyoto University) |
| LANGUAGE: |
Japanese |
| ABSTRACT: |
We show that the BMN operators arise from the expansion of the Wilson loop in four-dimensional
N=4 super Yang-Mills theory. The Wilson loop we consider is obtained from ``dimensional reduction''
of ten-dimensional N=1 super Yang-Mills theory, and it contains six scalar fields as well as the
gauge field. We expand the Wilson loop twice. First we expand it in powers of the fluctuations
around a BPS loop configuration. Then we further expand each term in the result of the first step
in powers of the scalar field Z associated with the BPS configuration. We find that each operator
in this expansion with large number of Z is the BMN operator. The number of fluctuations corresponds
to the number of impurities, and the phase factor of each BMN operator is supplied correctly.
We have to impose the BPS condition on the loop for obtaining the complete form of the BMN operators
including the correction terms with bar{Z}. Our observation suggests the correspondence between
the Wilson loop and the string field.
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