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Black isn't a color. It's just absence of light. So, a torch can't project light having such color. However, for the second part (dis-illuminate everything), I have an answer: Light is wave and waves can cancel each other. Projecting specially programmed adjustable light wave which create fully destructive interference with other available light waves can ...

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Wow that's an interesting question. I believe the answer is no, and the reason is that you can have light, or no light, but you cannot have "not light." If that makes sense. Darkness is the absence of light, so you cannot really have a material darkness. A similar idea is that cold is just a lack of heat. If you make something cold, it is not because ...

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The connection of superconductivity to Seiberg-Witten theory can be understood through the observation that superconductivity is related to the Meissner effect, which is the exclusion of magnetic field lines from a superconductor. Seiberg-Witten theory is based on the analysis of the moduli space of an $\mathcal{N}=2$ supersymmetric Yang-Mills theory. It ...

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Spin one fields are in the adjoint representation because of the specific transformation behaviour of such modes under gauge symmetries. This is basically a symmetry requirement on the lagrangian. Regarding your second question: the two multiplets are different. In one case we have a central charge and in the other we do not. However, the issue is ...

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A good analogy for the difference between the two can be given in terms of two other examples of anomalies, that are possibly more familiar. Consider a field theory with a global symmetry, take $U(1)$ for simplicity. At the classical level, the equations of motion lead to the existence of a conserved current (Noether's theorem). At the quantum level, the ...

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One usually considers Ricci-Flat target spaces for string propagation. If one doesn't care about the conformal anomaly, then given that one can think of an n-sheeted Riemann surface as given by the quotient of the Poincare upper half plane by some Fuchsian group. A first step to your question then is to compute the partition function for the sigma model with ...

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