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Original
1903
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S. Datta, P. Kraus, and B. Michel,
Original
1904
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H. W. Lin, J. Maldacena, and Y. Zhao,
Original
1904
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C.-F. Chen and A. Lucas,
Original
1905
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C. Murthy and M. Srednicki,
Original
1906
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M. Beşken, S. Datta, and P. Kraus,
Original
1907
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J. L. F. Barbón, E. Rabinovici, R. Shir, and R. Sinha,
Original
1907
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M. Beşken, S. Datta, and P. Kraus,
Original
1910
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Original
1911
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A. Dymarsky and A. Gorsky,
Original
1912
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1950
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A. M. Perelomov,
1972
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1977
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A. M. Vershik and S. V. Kerov,
1985
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A. B. Zamolodchikov,
1986
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V. S. Viswanath and G. Müller,
1990
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C. N. Pope, L. J. Romans, E. Sezgin, and K. S. Stelle,
1992
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S. Sachdev and J. Ye,
1993
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2021

Caputa, Pawel, Datta, Shouvik

We investigate and characterize the dynamics of operator growth in irrational two-dimensional conformal field theories.

By employing the oscillator realization of the Virasoro algebra and CFT states, we systematically implement the Lanczos algorithm and evaluate the Krylov complexity of simple operators (primaries and the stress tensor) under a unitary evolution protocol.
Evolution of primary operators proceeds as a flow into the 'bath of descendants' of the Verma module.
These descendants are labeled by integer partitions and have a one-to-one map to Young diagrams.

A. Dymarsky and K. Pavlenko,
Original
1903
Earlier work this paper cites.
S. Datta, P. Kraus, and B. Michel,
Original
1904
Earlier work this paper cites.
H. W. Lin, J. Maldacena, and Y. Zhao,
Original
1904
Earlier work this paper cites.
C.-F. Chen and A. Lucas,
Original
1905
Earlier work this paper cites.
C. Murthy and M. Srednicki,
Original
1906
Earlier work this paper cites.
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Original
1907
Earlier work this paper cites.
J. L. F. Barbón, E. Rabinovici, R. Shir, and R. Sinha,
Original
1907
Earlier work this paper cites.
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Original
1910
Earlier work this paper cites.
A. Avdoshkin and A. Dymarsky,
Original
1911
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A. Dymarsky and A. Gorsky,
Original
1912
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C. Lanczos,
1950
Earlier work this paper cites.
A. M. Perelomov,
1972
Earlier work this paper cites.
B. F. Logan and L. A. Shepp,
1977
Earlier work this paper cites.
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1985
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A. B. Zamolodchikov,
1986
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V. S. Viswanath and G. Müller,
1990
Earlier work this paper cites.
C. N. Pope, L. J. Romans, E. Sezgin, and K. S. Stelle,
1992
Earlier work this paper cites.
S. Sachdev and J. Ye,
1993
Earlier work this paper cites.

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