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Conformal bootstrap information


The conformal bootstrap is a non-perturbative mathematical method to constrain and solve conformal field theories, i.e. models of particle physics or statistical physics that exhibit similar properties at different levels of resolution.[1]

  1. ^ "Using the 'Bootstrap,' Physicists Uncover Geometry of Theory Space | Quanta Magazine". Quanta Magazine. Retrieved 2018-01-03.

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Conformal bootstrap

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correlation functions into structure constants and conformal blocks. The main ideas of the conformal bootstrap were formulated in the 1970s by the Soviet physicist...

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Conformal field theory

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A conformal field theory (CFT) is a quantum field theory that is invariant under conformal transformations. In two dimensions, there is an infinite-dimensional...

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Critical exponent

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renormalization group approach or, for systems at thermal equilibrium, the conformal bootstrap techniques. Phase transitions and critical exponents appear in many...

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Bootstrap model

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possible quantum field theories". Tullio Regge Stanley Mandelstam Conformal bootstrap Wolchover, Natalie (23 February 2017). "Physicists Uncover Geometric...

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Vyacheslav Rychkov

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Physics Prize “For developing new techniques in conformal field theory, reviving the conformal bootstrap program for constraining the spectrum of operators...

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Alexander Markovich Polyakov

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monopole Belavin–Polyakov–Schwarz–Tyupkin instantons QCD vacuum Conformal bootstrap Liouville theory AdS/CFT correspondence "Princeton celebrates Polyakov's...

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Ising critical exponents

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can be found in Refs. and. More recently, a conformal field theory method known as the conformal bootstrap has been applied to the d=3 theory. This method...

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Bootstrap aggregating

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Bootstrap aggregating, also called bagging (from bootstrap aggregating), is a machine learning ensemble meta-algorithm designed to improve the stability...

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Conformal prediction

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variants of conformal prediction have been developed with different computational complexities, formal guarantees, and practical applications. Conformal prediction...

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Ising model

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and their physics. ANNNI model Binder parameter Boltzmann machine Conformal bootstrap Construction of an irreducible Markov chain in the Ising model Geometrically...

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Liouville field theory

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breaks momentum conservation, it does not break conformal symmetry, and Liouville theory is a conformal field theory with the central charge c = 1 + 6...

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Alexander Zamolodchikov

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applications in different branches of physics and mathematics." C-theorem Conformal bootstrap Knizhnik–Zamolodchikov equations Thirring model W-algebra "Zamolodchikov...

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Lambda point

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high temperature expansion techniques, Monte Carlo methods and the conformal bootstrap. Lambda point refrigerator Donnelly, Russell J.; Barenghi, Carlo...

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Classical XY model

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group fixed point. Conformal bootstrap methods are applicable because it is also believed to be a unitary three dimensional conformal field theory. Most...

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Alexander Arkadyevich Migdal

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determined as eigenvalues of bootstrap equations of quantum field theory. This work led to so called Migdal-Polyakov conformal bootstrap which had profound influence...

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Axiomatic quantum field theory

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the conformal bootstrap approach to conformal field theory in R d {\displaystyle \mathbb {R} ^{d}} . They are also referred to as Euclidean bootstrap axioms...

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Virasoro conformal block

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dimensions as in other dimensions, conformal blocks play an essential role in the conformal bootstrap approach to conformal field theory. Using operator product...

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Semidefinite programming

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It is also widely used in physics to constrain conformal field theories with the conformal bootstrap. The semidefinite feasibility problem (SDF) is the...

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Rajesh Gopakumar

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theory (with Matthias Gaberdiel). He has also recently worked on the Conformal bootstrap. B.M. Birla Science Prize in Physics, 2004 ICTP Prize, 2006 Shanti...

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Breakthrough Prize in Fundamental Physics

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Research Slava Rychkov Developing new techniques in conformal field theory, reviving the conformal bootstrap program for constraining the spectrum of operators...

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Operator product expansion

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imposing this requirement on the fields of a conformal field theory is known as the conformal bootstrap. An example of an operator product algebra is...

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List of unsolved problems in physics

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1007/JHEP06(2020)142. S2CID 208910721. Rychkov, Slava (31 January 2020). "Conformal bootstrap and the λ-point specific heat experimental anomaly". Journal Club...

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Luis Fernando Alday

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the Mathematical Physics Group. His research interests are bootstrap approach to conformal field theories and string theory, several aspects of the AdS/CFT...

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Riccardo Rattazzi

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found the first practical implementation of the conformal bootstrap method in four-dimensional conformal field theories. While this work was motivated by...

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Sergio Ferrara

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1971–1975, Sergio Ferrara did pioneering work on conformal field theory and the conformal bootstrap. In a series of papers written in collaboration with...

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Aninda Sinha

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aspects of quantum field theory and string theory, in particular, on conformal bootstrap and entanglement entropy. Sinha is known for his work with Rob Myers...

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