Bootstrapping minimal $\mathcal{N}=1$ superconformal field theory in three dimensions

Autor: Ning Su, Junchen Rong
Jazyk: angličtina
Rok vydání: 2018
Předmět:
scaling: conformal
High Energy Physics - Theory
Nuclear and High Energy Physics
dimension: 3
Critical phenomena
One-dimensional space
Boundary (topology)
FOS: Physical sciences
QC770-798
Scaling dimension
conformal [scaling]
superconductivity: topological
Nuclear and particle physics. Atomic energy. Radioactivity
Field theory (psychology)
ddc:530
correlation function
bootstrap
conformal [field theory]
Mathematical physics
dimension [scaling]
Physics
field theory: conformal
scaling: dimension
scalar [operator]
Conformal Field Theory
Conformal field theory
operator: scalar
High Energy Physics::Phenomenology
Supersymmetry
time reversal [parity]
critical phenomena
High Energy Physics - Theory (hep-th)
Nonperturbative Effects
parity: time reversal
3 [dimension]
topological [superconductivity]
supersymmetry
Critical exponent
Zdroj: Journal of High Energy Physics, Vol 2021, Iss 6, Pp 1-15 (2021)
Journal of High Energy Physics
Journal of high energy physics 06(6), 154 (2021). doi:10.1007/JHEP06(2021)154
DOI: 10.1007/JHEP06(2021)154
Popis: Journal of high energy physics 06(6), 154 (2021). doi:10.1007/JHEP06(2021)154
We develop the numerical bootstrap technique to study the 2 + 1 dimensional $ \mathcal{N} $ = 1 superconformal field theories (SCFTs). When applied to the minimal $ \mathcal{N} $ = 1 SCFT, it allows us to determine its critical exponents to high precision. This model was argued in [1] to describe a quantum critical point (QCP) at the boundary of a 3 + 1D topological superconductor. More interestingly, this QCP can be reached by tuning a single parameter, where supersymmetry (SUSY) is realized as an emergent symmetry. We show that the emergent SUSY condition also plays an essential role in bootstrapping this SCFT. But performing a ���two-sided��� Pad�� re-summation of the large N expansion series, we calculate the critical exponents for Gross-Neveu-Yukawa models at N =4 and N =8.
Published by SISSA, [Trieste]
Databáze: OpenAIRE
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