Bootstrapping Deconfined Quantum Tricriticality

Area of Science:

• Condensed matter physics
• Quantum field theory
• High-energy physics

Background:

• Deconfined quantum criticality describes exotic phase transitions.
• The Neel to valence bond solid transition is a prime example.
• The CP^{N-1} model is a relevant field theory, with N=2 for this transition.

Purpose of the Study:

• Investigate the SO(5) symmetric fixed points relevant to the Neel-VBS transition.
• Determine the scaling dimension of the second relevant singlet operator.
• Validate theoretical predictions using conformal bootstrap methods.

Main Methods:

• Conformal bootstrap analysis of SO(5) invariant fixed points.
• Comparison with large N computations of monopole operator scaling dimensions.
• Exploration of tricritical points corresponding to two relevant SU(2)xU(1) singlets.

Main Results:

• Bootstrap bounds are saturated by large N predictions.
• The second relevant singlet operator is found to have a dimension of approximately 2.36.
• Strong evidence supporting the description of the Neel-VBS transition by the conformal bootstrap.

Conclusions:

• The conformal bootstrap provides an accurate description of the Neel-VBS transition.
• The study validates theoretical predictions for scaling dimensions even at small N.
• This work offers insights into the nature of deconfined quantum criticality.