Speaker
Description
Consistency relations of large-scale structures provide exact nonperturbative results for cross-correlations of cosmic fields in the squeezed limit. They only depend on the equivalence principle and the assumption of Gaussian initial conditions, and remain nonzero at equal times for cross-correlations of density fields with velocity or momentum fields, or with the time derivative of density fields. In this talk I will introduce consistency relations for large scale structure and apply them to observational probes that involve the integrated Sachs-Wolfe effect or the kinematic Sunyaev-Zeldovich effect. In particular, I will show how cross-correlations with the integrated Sachs-Wolfe effect show a specific angular dependence which could be used to test the equivalence principle and the primordial Gaussianity, or to check the modeling of large-scale structures.