scholarly journals Universal Signatures of Quantum Critical Points from Finite-Size Torus Spectra: A Window into the Operator Content of Higher-Dimensional Conformal Field Theories

2016 ◽  
Vol 117 (21) ◽  
Author(s):  
Michael Schuler ◽  
Seth Whitsitt ◽  
Louis-Paul Henry ◽  
Subir Sachdev ◽  
Andreas M. Läuchli
Keyword(s):  
Critical Points ◽  
Finite Size ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Quantum Critical Points ◽  
Conformal Field ◽  
Higher Dimensional ◽  
Quantum Critical

scholarly journals Bootstrap experiments on higher dimensional CFTs

2018 ◽  
Vol 33 (07) ◽  
pp. 1850036 ◽  
Author(s):  
Yu Nakayama
Keyword(s):  
Empirical Relationship ◽  
Adjoint Representation ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Time Dimension ◽  
Unitarity Bound ◽  
Conformal Field ◽  
Dimension Formula ◽  
Conformal Bootstrap ◽  
Higher Dimensional

Recent programs on conformal bootstrap suggest an empirical relationship between the existence of nontrivial conformal field theories and nontrivial features such as a kink in the unitarity bound of conformal dimensions in the conformal bootstrap equations. We report the existence of nontrivial kink-like behaviors in the unitarity bound of scalar operators in the adjoint representation of the [Formula: see text] symmetric conformal field theories. They have interesting properties: (1) the kink-like behaviors exist in [Formula: see text] dimensions; (2) the location of kink-like behaviors are when the unitarity bound hits the space–time dimension [Formula: see text]; (3) there exists a “conformal window” of [Formula: see text], where [Formula: see text] in [Formula: see text] and [Formula: see text] in [Formula: see text].

scholarly journals Multipoint correlators of conformal field theories: Implications for quantum critical transport

2013 ◽  
Vol 87 (8) ◽  
Author(s):  
Debanjan Chowdhury ◽  
Suvrat Raju ◽  
Subir Sachdev ◽  
Ajay Singh ◽  
Philipp Strack
Keyword(s):  
Field Theories ◽  
Conformal Field Theories ◽  
Conformal Field ◽  
Quantum Critical
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