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PreprintarXiv licencearXiv

"Massive" Conformal Field Theories and application to Nambu-Goto string

Abstract

I describe the recent progress in understanding diffeomorphism invariant two-dimensional theories with dimensionful parameters which have nevertheless traceless improved energy-momentum tensor and turn out to be conformal invariant. An example is the Liouville theory with the additional four-derivative terms arising from the Nambu-Goto string and telling apart the Nambu-Goto and Polyakov strings. Its exact solution in embedding dimension d=4 is consistent in contrast to the Polyakov string and described by the (4,3) unitary minimal model. Talk at Irina Aref'eva Conference "Perspective Directions in Quantum Field Theory and Superstrings", Moscow 12-17 October 2026.

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BibTeX
@misc{makeenko2026massive,
  title = {{"Massive" Conformal Field Theories and application to Nambu-Goto string}},
  author = {Yuri Makeenko},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.28888},
  eprint = {2610.28888},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.28888},
}
RIS
TY  - UNPB
TI  - "Massive" Conformal Field Theories and application to Nambu-Goto string
AU  - Yuri Makeenko
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.28888
UR  - https://arxiv.org/abs/2610.28888
AB  - I describe the recent progress in understanding diffeomorphism invariant two-dimensional theories with dimensionful parameters which have nevertheless traceless improved energy-momentum tensor and turn out to be conformal invariant. An example is the Liouville theory with the additional four-derivative terms arising from the Nambu-Goto string and telling apart the Nambu-Goto and Polyakov strings. Its exact solution in embedding dimension d=4 is consistent in contrast to the Polyakov string and described by the (4,3) unitary minimal model. Talk at Irina Aref'eva Conference "Perspective Directions in Quantum Field Theory and Superstrings", Moscow 12-17 October 2026.
ER  -