Coupled free fermion conformal field theories
Sign Up to like & getrecommendations! Published in 2024 at "Journal of High Energy Physics"
DOI: 10.1007/jhep08(2024)115
Abstract: We study a specific class of CFTs that involve coupled free fermions, arising from parafermion CFTs and lattice constructions. We analyse their representation spaces and the underlying exclusion statistics of coupled free fermions using specific… read more here.
Keywords: fermion conformal; field theories; coupled free; conformal field ... See more keywords
Free-fermions and skew stable Grothendieck polynomials
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Algebraic Combinatorics"
DOI: 10.1007/s10801-022-01121-6
Abstract: Skew stable Grothendieck polynomials are $K$-theoretic analogues of skew Schur polynomials. We give a free-fermionic presentation of skew stable Grothendieck polynomials and their dual symmetric functions. By using our presentation, we derive a family of… read more here.
Keywords: stable grothendieck; skew stable; grothendieck polynomials; free fermions ... See more keywords
Free fermions, neutrality and modular transformations
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ad77fe
Abstract: With a view towards higher-spin applications, we study the partition function of a free complex fermion in 2d conformal field theory, restricted to the neutral (zero fermion number) sector. This restriction leads to a partial… read more here.
Keywords: higher spin; neutrality; fermions neutrality; function ... See more keywords
Quasilocal frustration-free free fermions
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DOI: 10.1103/794x-jdn7
Abstract: Recent studies have revealed that frustration-free models, expressed as sums of finite-range interactions or hoppings, exhibit several properties markedly different from those of frustrated models. In this work, we demonstrate that, by relaxing the finite-range… read more here.
Keywords: size; quasilocal frustration; free free; frustration free ... See more keywords
Supersymmetric free fermions and bosons: Locality, symmetry, and topology
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review B"
DOI: 10.1103/physrevb.105.085423
Abstract: Zongping Gong,1, 2 Robert H. Jonsson,1, 2 and Daniel Malz1, 2 Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany Munich Center for Quantum Science and Technology, Schellingstraße 4, 80799 München, Germany (Dated: March 15, 2022)… read more here.
Keywords: supersymmetric free; locality; topology; free fermions ... See more keywords
Exact real-time dynamics with free fermions in disguise
Sign Up to like & getrecommendations! Published in 2024 at "Physical Review B"
DOI: 10.1103/physrevb.111.144306
Abstract: We consider quantum spin chains with a hidden free fermionic structure, distinct from the Jordan-Wigner transformation and its generalizations. We express selected local operators with the hidden fermions. This way we can exactly solve the… read more here.
Keywords: exact real; real time; time; dynamics free ... See more keywords