The mathematical definition of Coulomb branches of 3d N=4 gauge theories gives ring objects in the equivariant derived Satake category. We have another fundamental example of a ring object, namely the regular sheaf. It corresponds to the 3d N=4 QFT T[G], studied by Gaiotto-Witten. We also have operations on ring objects, corresponding to products, restrictions, Coulomb/Higgs gauging in the `category' of 3d N=4 QFT's. Thus we conjecture that arbitrary 3d N=4 QFT with G-symmetry gives rise a ring object in the derived Satake for G.
Abstract The Open Science movement focuses on the broad benefits to the scientific enterprise, but its success will depend on the actions of individual scientists. Unless the short-term benefits to the researcher outweigh the costs, only the most altruistic will open up their research efforts to the world. Arguments based on hypothetical future benefits don’t carry much weight, and calls for better tools appear to be mainly driven by tool-designers, not potential users.
Abstract Through the last 20-25 years “we won” many battles in the evolution of FLOSS into mainstream. No one can ignore today the role of open source in software, hardware, high-tech and even business development. However everything seems to be open today: Open Data, Open Innovation, Open Government, Open Research...what do we mean by that? Has “open” the same meaning in all of them? How reliable are the results from such openness?