In these lecture notes we first assemble the basic ingredients of supersymmetric gauge
theories (particularly N= 4 super-Yang-Mills theory), supergravity, and superstring theory …

According to the AdS/CFT dictionary, perturbing the large N boundary theory by a relevant
double-trace deformation of the form f Script O 2 corresponds in the bulk to imposing``mixed'' …

We perform a one-loop calculation of the vacuum energy of a tachyon field in anti–de Sitter
space with boundary conditions corresponding to the presence of a double-trace operator in …

One of the aims of this book is to explain in a basic manner the seemingly difficult issues of
mathematical structure using some specific examples as a guide. In each of the cases …

A bstract We describe conformal defects of p dimensions in a free scalar theory on a d-
dimensional flat space as boundary conditions on the conformally flat space ℍ p+ 1× 𝕊 d …

A bstract We build the framework for performing loop computations in the defect version
of\(\mathcal {N}\)= 4 super Yang-Mills theory which is dual to the probe D5-D3 brane system …

We compute the vacuum polarization for a massless, conformally coupled scalar field on the
covering space of global, four-dimensional, anti-de Sitter space-time. Since anti-de Sitter …

Positive frequency Wightman function and vacuum expectation value of the energy–
momentum tensor are computed for a massive scalar field with general curvature coupling …

A bstract The two-point function and the vacuum expectation value (VEV) of the current
density are investigated for a massive charged scalar field with arbitrary curvature coupling …

In this paper, we investigate the vacuum expectation values (VEVs) of the field squared and
the energy–momentum tensor associated with a massive scalar quantum field induced by a …