We give a review of conformal supergravity considered as a candidate for a fundamental
theory describing physics at Planck distances. Conformal supergravities are supersymmetric …

In an arbitrary unitary 4D CFT we consider a scalar operator ϕ, and the operator ϕ 2 defined
as the lowest dimension scalar which appears in the OPE ϕ× ϕ with a nonzero coefficient …

We re-examine holographic versions of the c-theorem and entanglement entropy in the
context of higher curvature gravity and the AdS/CFT correspondence. We select the gravity …

A bstract We study the constraints of crossing symmetry and unitarity for conformal field
theories in the presence of a boundary, with a focus on the Ising model in various …

The development of Relativistic Quantum Field Theory started in 1932 as a natural
extension of Quantum Mechanics to the relativistic domain [1]. The work of Feynman in the …

We discuss the properties of four-point functions in the context of the correspondence
between a classical supergravity theory in the bulk of the anti–de Sitter (AdS) space and …

Quasi-topological gravity is a new gravitational theory including curvaturecubed interactions
and for which exact black hole solutions were constructed. In a holographic framework …

These lectures notes are based on courses given at National Taiwan University, National
Chiao-Tung University, and National Tsing Hua University in the spring term of 2015 …

A bstract We present the dictionary between the one-particle Hilbert spaces of totally
symmetric tensor-spinor fields of spin s= 3/2, 5/2 with any mass parameter on D-dimensional …

Making use of a recent result of Borchers, an algebraic version of the Bisognano-Wichmann
theorem is given for conformal quantum field theories, ie the Tomita-Takesaki modular group …