  We identify a new class of closed smooth manifolds for which there exists a
uniform bound on the Lagrangian spectral norm of Hamiltonian deformations of
the zero section in a unit cotangent disk bundle, settling a well-known
conjecture of Viterbo from 2007 as the special case of $T^n.$ This class of
manifolds is defined in topological terms involving the Chas-Sullivan algebra
and the BV-operator on the homology of the free loop space, contains spheres
and is closed under products. We discuss generalizations and various
applications.
