Przyjalkowski, Victor V. Coates, Thomas

Mirror Symmetry is one of the most exciting ideas in mathematics to emerge in the last two decades. It was introduced in physics as a duality between superconformal field theories. This book discusses this rapidly developing aspect of string theory. / Mirror symmetry is one of the most exciting ideas in mathematics to emerge in the last two decades...

Lahoche, Vincent Samary, Dine Ousmane

Tensor models admit the large $N$ limit, dominated by the graphs called melons. The melons are characterized by the Gurau number $\varpi=0$ and the amplitude of the Feynman graphs are proportional to $N^{-\varpi}$. Other leading order contributions i.e. $\varpi> 0$ called pseudo-melons can be taken into account in the renormalization program. The f...

Sun, Dao-Quan Deng, Jian-Bo Li, Ping Hu, Xian-Ru

We explore the possible microscopic structure of a charged AdS black hole from the quantized viewpoint. A further study shows that some black holes cannot absorb "energy quantum" under certain conditions from the view of quantization. By the quantization of the black hole horizon area, we show the relation between the number of quanta of area and t...

Makino, Hiroki Morikawa, Okuto Suzuki, Hiroshi

The gradient flow is the evolution of fields and physical quantities along a dimensionful parameter~$t$, the flow time. We give a simple argument that relates this gradient flow and the Wilsonian renormalization group (RG) flow. We then illustrate the Wilsonian RG flow on the basis of the gradient flow in two examples that possess an infrared fixed...

Modak, Sujoy K.

Over the years, de Sitter spacetime has been a central focus, in studies involving quantum fields, for its importance in the early and late expansion stages of the universe. While de Sitter spacetime closely mimics characteristics of the inflationary and dark energy dominated universe it does not help to understand the radiation and matter dominate...

de Mello Koch, Robert Ramgoolam, Sanjaye
Published in
Journal of High Energy Physics

We define lowest weight polynomials (LWPs), motivated by so(d, 2) representation theory, as elements of the polynomial ring over d × n variables obeying a system of first and second order partial differential equations. LWPs invariant under Sn correspond to primary fields in free scalar field theory in d dimensions, constructed from n fields. The L...

Behan, Connor

We revisit the line of non-unitary theories that interpolate between the Virasoro minimal models. Numerical bootstrap applications have brought about interest in the four-point function involving the scalar primary of lowest dimension. Using recent progress in harmonic analysis on the conformal group, we prove the conjecture that global conformal b...

Inverso, Gianluca
Published in
Journal of High Energy Physics

A procedure is described to construct generalised Scherk-Schwarz uplifts of gauged supergravities. The internal manifold, fluxes, and consistent truncation Ansatz are all derived from the embedding tensor of the lower-dimensional theory. We first describe the procedure to construct generalised Leibniz parallelisable spaces where the vector componen...

Deshpande, Kaustubh Sundrum, Raman
Published in
Journal of High Energy Physics

We develop a supersymmetric bi-axion model of high-scale inflation coupled to supergravity, in which the axionic structure originates from, and is protected by, gauge symmetry in an extra dimension. While local supersymmetry (SUSY) is necessarily Higgsed at high scales during inflation we show that it can naturally survive down to the ∼ TeV scale i...

Davison, Richard A. Gentle, Simon A. Goutéraux, Blaise

The dissipative dynamics of strongly interacting systems are often characterised by the timescale set by the inverse temperature $\tau_P\sim\hbar/(k_BT)$. We show that near a class of strongly interacting quantum critical points that arise in the infra-red limit of translationally invariant holographic theories, there is a collective excitation (a ...