Extremal bootstrapping: go with the flow View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2018-03

AUTHORS

Sheer El-Showk, Miguel F. Paulos

ABSTRACT

The extremal functional method determines approximate solutions to the constraints of crossing symmetry, which saturate bounds on the space of unitary CFTs. We show that such solutions are characterized by extremality conditions, which may be used to flow continuously along the boundaries of parameter space. Along the flow there is generically no further need for optimization, which dramatically reduces computational requirements, bringing calculations from the realm of computing clusters to laptops. Conceptually, extremality sheds light on possible ways to bootstrap without positivity, extending the method to non-unitary theories, and implies that theories saturating bounds, and especially those sitting at kinks, have unusually sparse spectra. We discuss several applications, including the first high-precision bootstrap of a non-unitary CFT. More... »

PAGES

148

References to SciGraph publications

  • 2012-05. Carving out the space of 4D CFTs in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-06. A semidefinite program solver for the conformal bootstrap in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-11. Convexity and liberation at large spin in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017. EPFL Lectures on Conformal Field Theory in D ≥ 3 Dimensions in NONE
  • 2013-12. The analytic bootstrap and AdS superhorizon locality in JOURNAL OF HIGH ENERGY PHYSICS
  • 1998. Semi-Infinite Programming in NONE
  • 2014-12. Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents in JOURNAL OF STATISTICAL PHYSICS
  • 2016-04. Reflections on conformal spectra in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-05. Boundary and interface CFTs from the conformal bootstrap in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

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