TL;DR
This paper explores the unique relationship between flat-space conformal invariance and curved-space Weyl invariance in two-dimensional Liouville theory, highlighting its exceptional properties compared to higher dimensions.
Contribution
It provides a detailed analysis of the special case of Liouville theory in two dimensions, clarifying its Weyl invariance features distinct from higher-dimensional theories.
Findings
Liouville theory exhibits unique Weyl invariance properties in two dimensions.
The relationship between conformal and Weyl invariance differs fundamentally in two dimensions.
The paper clarifies the exceptional nature of Liouville theory compared to higher-dimensional cases.
Abstract
Flat-space conformal invariance and curved-space Weyl invariance are simply related in dimensions greater than two. In two dimensions the Liouville theory presents an exceptional situation, which we here examine.
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