Mar 2 – 20, 2015
Nordita, Stockholm
Europe/Stockholm timezone

On the existence and construction of gauge invariant theories of p-forms with non-linear dependence on the second derivative of the gauge field

Mar 18, 2015, 2:00 PM
132:028 (Nordita, Stockholm)


Nordita, Stockholm


Dr Vishagan Sivanesan (Institut'd Astrophysique de Paris)


Galileon field theory plays an important role in modified theories of gravity. It arises as the scalar mode in Massive gravity, DGP etc and describes the leading order interactions thereby capturing the salient features of these theories, such as Vainshtein screening and strong coupling. The distinctive aspect of these theories are that they possess derivative interactions that are non-linear in the second derivative of the field. In [1] the authors generalised the Galileon field (0-form) to gauge invariant p-form in a 'direct' way and found that this approach yields trivial field equations when p is odd. In [2] the existence of theories with non-linearity in the second derivative of a gauge invariant vector field was investigated and it was proved that such theories do not exist . Here we investigate the existence of 'Galileon like' theories when p > 1 and odd, using tools from the representation theory of the permutation group. Remarkably, we find such theories do exist for p>1 in a subtle way, and construct them explicitly for some special cases. Moreover, this approach can be considered as a step towards the classification of all gauge invariant theories of p-forms. [1]: 'Arbitrary p-form Galileons' Phys.Rev. D82 (2010) 061501' [2]: 'A no-go theorem for generalized vector Galileons on flat spacetime' JHEP 1404 (2014) 082

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