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We study (1+1)-dimensional non-linear sigma models whose target space is the flag manifold $U(N)\over U(N_1)\times U(N_2)\cdots U(N_m)$, with a specific focus on the special case $U(N)/U(1)^{N}$.
Kantaro Ohmori, Nathan Seiberg, Shu-Heng Shao
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Topological sigma models on supermanifolds
This paper concerns constructing topological sigma models governing maps from semirigid super Riemann surfaces to general target supermanifolds. We define both the A model and B model in this general setup by defining suitable BRST operators and physical
Bei Jia
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Renormalization of supersymmetric Lifshitz sigma models
We study the renormalization of an N $$ \mathcal{N} $$ = 1 supersymmetric Lifshitz sigma model in three dimensions. The sigma model exhibits worldvolume anisotropy in space and time around the high-energy z = 2 Lifshitz point, such that the worldvolume ...
Ziqi Yan
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Non-compact nonlinear sigma models
The target space of a nonlinear sigma model is usually required to be positive definite to avoid ghosts. We introduce a unique class of nonlinear sigma models where the target space metric has a Lorentzian signature, thus the associated group being non ...
Claudia de Rham +2 more
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The transcriptional response of Drosophila melanogaster to infection with the sigma virus (Rhabdoviridae). [PDF]
Bacterial and fungal infections induce a potent immune response in Drosophila melanogaster, but it is unclear whether viral infections induce an antiviral immune response.
Carpenter Jennifer +33 more
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Non-local non-linear sigma models
We study non-local non-linear sigma models in arbitrary dimension, focusing on the scale invariant limit in which the scalar fields naturally have scaling dimension zero, so that the free propagator is logarithmic.
Steven S. Gubser +4 more
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The age and evolution of an antiviral resistance mutation in Drosophila melanogaster [PDF]
What selective processes underlie the evolution of parasites and their hosts? Arms-race models propose that new host-resistance mutations or parasite counter-adaptations arise and sweep to fixation.
Obbard, Darren J +7 more
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Integrability, duality and sigma models
We introduce and study conformal field theories specified by W −algebras commuting with certain set of screening charges. These CFT’s possess perturbations which define integrable QFT’s. We establish that these QFT’s have local and non-local Integrals of
V. A. Fateev, A. V. Litvinov
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Sigma models with negative curvature
We construct Higgs Effective Field Theory (HEFT) based on the scalar manifold Hn, which is a hyperbolic space of constant negative curvature. The Lagrangian has a non-compact O(n,1) global symmetry group, but it gives a unitary theory as long as only a ...
Rodrigo Alonso +2 more
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Structure Theory for Extended Kepler-Coulomb 3D Classical Superintegrable Systems [PDF]
The classical Kepler-Coulomb system in 3 dimensions is well known to be 2nd order superintegrable, with a symmetry algebra that closes polynomially under Poisson brackets. This polynomial closure is typical for 2nd order superintegrable systems in 2D and
Willard Miller Jr. +5 more
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