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Remarks on QCD 4 with fundamental and adjoint matter (2023)
Journal Article
Anber, M. M., Lohitsiri, N., & Sulejmanpasic, T. (2023). Remarks on QCD 4 with fundamental and adjoint matter. Journal of High Energy Physics, 2023(12), Article 63. https://doi.org/10.1007/jhep12%282023%29063

We study 4-dimensional SU(N) gauge theory with one adjoint Weyl fermion and fundamental matter — either bosonic or fermionic. Symmetries, their ’t Hooft anomalies, and the Vafa-Witten-Weingarten theorems strongly constrain the possible bulk phases. T... Read More about Remarks on QCD 4 with fundamental and adjoint matter.

Modified Villain formulation of Abelian Chern-Simons theory (2023)
Journal Article
Jacobson, T., & Sulejmanpasic, T. (2023). Modified Villain formulation of Abelian Chern-Simons theory. Physical Review D, 107(12), Article 125017. https://doi.org/10.1103/physrevd.107.125017

We formulate U(1)k Chern-Simons theory on a Euclidean spacetime lattice using the modified Villain approach. Various familiar aspects of continuum Chern-Simons theory such as level quantization, framing, the discrete 1-form symmetry and its ’t Hooft... Read More about Modified Villain formulation of Abelian Chern-Simons theory.

Lattice quantum Villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities (2023)
Journal Article
Fazza, L., & Sulejmanpasic, T. (2023). Lattice quantum Villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities. Journal of High Energy Physics, 2023(5), Article 17. https://doi.org/10.1007/jhep05%282023%29017

We construct Villain Hamiltonians for compact scalars and abelian gauge theories. The Villain integers are promoted to integral spectrum operators, whose canonical conjugates are naturally compact scalars. Further, depending on the theory, these conj... Read More about Lattice quantum Villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities.