SLE for theoretical physicists
By J. Cardy. 2005
323 citations recorded by the source corpus.
Abstract This article provides an introduction to Schramm (stochastic)–Loewner evolution (SLE) and to its connection with conformal field theory, from the point of view of its application to two-dimensional critical behaviour. The emphasis is on the conceptual ideas rather than rigorous proofs.
Subfields: Condensed Matter Physics, Finance, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/86213bbf0f52077e56e6099033c12fc00dbfd74e
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Condensed Matter Physics
- Scott Sheffield
- Oded Schramm
- Wendelin Werner
- Stanislav Smirnov
- David Bruce Wilson
- Abbas Ali Saberi
- Julien Dubédat
- Vincent Beffara
In Finance
- Oded Schramm
- Scott Sheffield
- Stanislav Smirnov
- Abbas Ali Saberi
- David Bruce Wilson
- Bertrand Duplantier
- Rémi Rhodes
- Vincent Vargas
In Mathematical Physics
- Scott Sheffield
- Oded Schramm
- Stanislav Smirnov
- Wendelin Werner
- David Bruce Wilson
- Abbas Ali Saberi
- Vincent Beffara
- Julien Dubédat
Citations in the corpus
- Contour lines of the two-dimensional discrete Gaussian free field (2006, background): “We now give a brief definition of (chordal) SLE(κ) for κ > 0. See also the surveys [Wer04, KN04, Law05, Car05 ] or [Law04].”
- SLE coordinate changes (2005, background): “For motivation and background on SLE, the reader is advised to consult the surveys [Wer04b, Law04, KN04, Car05 ] and the references cited there.”
- Towards conformal invariance of 2D lattice models (2007, background): “We do not discuss the general mathematical theory of SLE curves or their connections to physics, for which interested reader can consult the expository works [5], [10], [15], [41] and the book [22].”
- Recent advances in percolation theory and its applications (2015, methodology): “Here we give a brief description of the so-called chordal SLE in its standard setup, and refer to [83, 84, 258] for more detailed information about it, and other variants of SLE.”
- SLE curves and natural parametrization (2010, unknown): “ are able to give a relatively simple proof of the existence of the natural parametrization. 1.2. Notation. In this subsection, we set up the notation for SLEκ. For more background, see, for example, [2, 4, 7, 9, 18]. Throughout this paper, we let κ<8 and a= 2/κ>1/4, and we allow all constants”