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Ward Identities of $W_{\infty}$ Symmetry in Liouville Theory coupled to $c_M < 1$ Matter

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Ken-ji Hamada

High Energy Physics - Theory · Submitted 9 Nov 1993

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We then find that the Ward identities are equivalent to the $W_q$ algebra constraints deduced from the matrix model.

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arXiv IDhep-th/9311047 (version 1)
Pith IDOG6AONWZ, Pith's permanent record of this paper and its review
CitationKen-ji Hamada. "Ward Identities of $W_{\infty}$ Symmetry in Liouville Theory coupled to $c_M < 1$ Matter." arXiv:hep-th/9311047 (1993). https://pith.science/paper/OG6AONWZ
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,912 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.69 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We investigate the Ward identities of the $W_{\infty}$ symmetry in the Liouville theory coupled to the $(p,q)$ conformal matter. The correlation functions are defined by applying the analytic continuation procedure for the matter sector as well as the Liouville one. We then find that the Ward identities are equivalent to the $W_q$ algebra constraints deduced from the matrix model.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We investigate the Ward identities of the $W_{\infty}$ symmetry in the Liouville theory coupled to the $(p,q)$ conformal matter. contribution 0.97 0.89 0.07 asserted 0.72
s1 The correlation functions are defined by applying the analytic continuation procedure for the matter sector as well as the Liouville one. method 1.00 0.75 0.03 asserted 0.99
s2 We then find that the Ward identities are equivalent to the $W_q$ algebra constraints deduced from the matrix model. result 1.00 0.93 0.85 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We investigate the Ward identities of the $W_{\infty}$ symmetry in the Liouville theory coupled to the $(p,q)$ conformal matter. The correlation functions are defined by applying the analytic continuation procedure for the matter sector as well as the Liouville one. We then find that the Ward identities are equivalent to the $W_q$ algebra constraints deduced from the matrix model.

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