The Imaginary Toda Field Theory. Dupic, T., Estienne, B., & Ikhlef, Y. Journal of Physics A: Mathematical and Theoretical, 52(10):105201, February, 2019. doi abstract bibtex We consider the two-dimensional quantum Toda field theory with an imaginary background charge. This conformal field theory has a higher spin symmetry (W n algebra), a central charge and a continuous spectrum. Using the conformal bootstrap, we compute structure constants involving two arbitrary scalar fields and a semi-degenerate field of Wyllard type. The solution obtained is not the analytic continuation of the usual Toda three-point function. Non-scalar primary fields and their three-point functions are also discussed. Non-scalar primary fields are classified by conjugacy classes of the permutation group , and their structure constants are computed explicitly, up to an overall factor.
@article{dupicImaginaryTodaField2019,
title = {The Imaginary {{Toda}} Field Theory},
author = {Dupic, T. and Estienne, B. and Ikhlef, Y.},
year = {2019},
month = feb,
journal = {Journal of Physics A: Mathematical and Theoretical},
volume = {52},
number = {10},
pages = {105201},
issn = {1751-8121},
doi = {10.1088/1751-8121/aafeaa},
urldate = {2019-08-08},
abstract = {We consider the two-dimensional quantum Toda field theory with an imaginary background charge. This conformal field theory has a higher spin symmetry (W n algebra), a central charge and a continuous spectrum. Using the conformal bootstrap, we compute structure constants involving two arbitrary scalar fields and a semi-degenerate field of Wyllard type. The solution obtained is not the analytic continuation of the usual Toda three-point function. Non-scalar primary fields and their three-point functions are also discussed. Non-scalar primary fields are classified by conjugacy classes of the permutation group , and their structure constants are computed explicitly, up to an overall factor.},
langid = {english},
file = {/home/thomas/snap/zotero-snap/common/Zotero/storage/PTID9HUA/Dupic et al. - 2019 - The imaginary Toda field theory.pdf}
}
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