Nikita Sopenko

1. Anomalous symmetries of quantum spin chains and a generalization of the Lieb-Schultz-Mattis theorem
   2024/01/04 by Anton Kapustin, Kapustin, Anton, Nikita Sopenko +1 · 10 citations
   Mathematics · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Strongly Correlated Electrons (cond-mat.str-el)
2. An index for invertible phases of two-dimensional quantum spin systems
   2024/10/02 by Nikita Sopenko, Sopenko, Nikita · 4 citations
   Physics and Astronomy · #Quantum many-body systems #Quantum chaos and dynamical systems
3. Chiral topologically ordered states on a lattice from vertex operator algebras
   2023/01/20 by Nikita Sopenko, Sopenko, Nikita · 1 citation
   Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el)
4. Reflection positivity and a refined index for 2d invertible phases
   2025/09/01 by Nikita Sopenko, Sopenko, Nikita · 3 citations
   Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Physics of Superconductivity and Magnetism #Quantum Physics (quant-ph) #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el) #Topological Materials and Phenomena