I will talk about the progress we have made in defining a massless field theory on a flat background with infinite many fields. It is a YM‐like theory which includes also gravity, as well as tower of tensors with increasing spin. It has been derived inspired by the worldline quantization. It has a large HS gauge symmetry which includes also diffeomorphisms. I will explain its main properties and then I will show how to perturbatively quantize it. I will show as well how to define physical amplitudes and, in particular, that its is free of ghosts. It has a hidden symmetry, gauge‐fixed in the initial formulation, which can be unfolded at the price of introducing nonlocalities, but I will argue that such nonlocalities are a gauge artifact. I will compare our results with the existing no‐go theorems about massless HS theories in flat background.
Loriano Bonora (Trieste): A YM‐like theory with infinite many fields
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