Abstract
Using Majorana fermions and elementary mesons we find new massless quantum field theories with weakly interacting ultraviolet fixed points. We also find new classes of large N equivalences amongst SU, SO and Sp gauge theories with different types of matter fields and Yukawa interactions. Results include a triality of asymptotically safe theories and dualities between asymptotically free matter-gauge theories with identical fixed points, phase diagrams, and scaling exponents. Implications for conformal field theory and orbifold reductions are indicated.
Highlights
Equivalences or dualities between seemingly different theories can provide valuable insights into the dynamics of quantum fields at weak and strong coupling
Well-known examples include equivalences between SU, SO, and Sp gauge theories in the limit where the rank of the gauge group is large [1], electric-magnetic duality in supersymmetric theories [2], the seminal AdS/CFT conjecture [3], or equivalences between theories related by orbifold/ orientifold projections [4,5,6,7,8,9] where parent and child theories achieve coinciding perturbative expansions in the planar limit, and, under some conditions, nonperturbative equivalence [10,11]
Results include a triality of asymptotically safe theories with SU, SO, or Sp gauge groups with identical phase diagrams and scaling exponents at ultraviolet critical points, and dualities between asymptotically free gauge-matter theories with identical infrared critical points and more
Summary
Equivalences or dualities between seemingly different theories can provide valuable insights into the dynamics of quantum fields at weak and strong coupling. The discovery of interacting ultraviolet fixed points in QCD-like theories, first conjectured in [15], has sparked a lot of interest [16,17,18,19,20,21,22,23,24,25,26,27,28,29,30]. It has led to a general classification of four-dimensional (4D) quantum field theories including necessary and sufficient conditions and strict no-go theorems for weakly interacting fixed points [18,27]. With the help of perturbation theory, the renormalization group (RG), negative dimensionality theorems, and ideas from string theory, we put forward new classes of large N equivalences among gauge-Yukawa theories with different gauge or global symmetries, and different types of matter fields. Results include a triality of asymptotically safe theories with SU, SO, or Sp gauge groups with identical phase diagrams and scaling exponents at ultraviolet critical points, and dualities between asymptotically free gauge-matter theories with identical infrared critical points and more
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call