On a problem of Hasse and Ramachandra
Open Mathematics, 2019 Let K be an imaginary quadratic field, and let 𝔣 be a nontrivial integral ideal of K. Hasse and Ramachandra asked whether the ray class field of K modulo 𝔣 can be generated by a single value of the Weber function. We completely resolve this question when
Koo Ja Kyung +2 more
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Non-Abelian gauged fracton matter field theory: Sigma models, superfluids, and vortices
Physical Review Research, 2020 By gauging a higher-moment polynomial degree global symmetry and a discrete charge conjugation (i.e., particle-hole) symmetry coupled to matter fields (two symmetries mutually noncommutative), we derive a class of higher-rank tensor non-Abelian gauge ...
Juven Wang, Shing-Tung Yau
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String field theory, non-commutative Chern-Simons theory and Lie algebra cohomology [PDF]
, 2001 Motivated by noncommutative Chern-Simons theory, we construct an infinite class of field theories that satisfy the axioms of Witten's string field theory. These constructions have no propagating open string degrees of freedom.
Gross, David J., Periwal, Vipul
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New N $$ \mathcal{N} $$ = 2 superconformal field theories from S $$ \mathcal{S} $$ -folds
Journal of High Energy Physics, 2021 We study the four-dimensional N $$ \mathcal{N} $$ = 2 superconformal field theories that describe D3-branes probing the recently constructed N $$ \mathcal{N} $$ = 2 S $$ \mathcal{S} $$ -folds in F-theory.
Simone Giacomelli +2 more
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Aspects of irregular punctures via holography
Journal of High Energy Physics, 2022 We present new families of AdS 5 solutions in M-theory preserving 4d N $$ \mathcal{N} $$ = 2 supersymmetry. We perform a systematic analysis of holographic observables for these solutions, providing evidence for an interpretation in terms of 4d ...
Ibrahima Bah +3 more
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Minimal Polynomials of Some Eta-Quotients Evaluated at CM Points
MathematicsWe study certain eta-quotients of weight zero evaluated at CM points of imaginary quadratic orders. Using the theory of extended form class groups, we show that these special values generate the corresponding ring class fields and we provide explicit ...
Ho Yun Jung
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Continuum tensor network field states, path integral representations and spatial symmetries
New Journal of Physics, 2015 A natural way to generalize tensor network variational classes to quantum field systems is via a continuous tensor contraction. This approach is first illustrated for the class of quantum field states known as continuous matrix-product states (cMPS).
David Jennings +4 more
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Double Ramification Cycles and Quantum Integrable Systems [PDF]
, 2015 In this paper we define a quantization of the Double Ramification Hierarchies of [Bur15b] and [BR14], using intersection numbers of the double ramification cycle, the full Chern class of the Hodge bundle and psi-classes with a given cohomological field ...
Buryak, Alexandr, Rossi, Paolo
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Brauer-Manin pairing, class field theory and motivic homology
, 2012 For a smooth proper variety over a $p$-adic field, the Brauer group and abelian fundamental group are related to the higher Chow groups by the Brauer-Manin pairing and the class field theory.
Bloch +15 more
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Aerosol effective radius governs the relationship between cloud condensation nuclei (CCN) concentration and aerosol backscatter [PDF]
Atmospheric Chemistry and PhysicsUnderstanding the vertical distribution of cloud condensation nuclei (CCN) concentrations is crucial for reducing uncertainty associated with aerosol–cloud interactions (ACIs) and their effective radiative forcing.
E. Lenhardt +13 more
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