Mukhi, Sunil Muralidhara, Girish
Published in
Journal of High Energy Physics

We elaborate and extend the method of Wronskian differential equations for conformal blocks to compute four-point correlation functions on the plane for classes of primary fields in rational (and possibly more general) conformal field theories. This approach leads to universal differential equations for families of CFT’s and provides a very simple ...

Srivastava, Vandna Kumar Sharma, Umesh

• The THDE model in the non-flat universe. • The Statefinder hierarchy diagnostic. • The spatial curvature contributions of the model through statefinder hierarchy. • The effect of the Tsallis model parameter through statefinder hierarchy.

Neiman, Yasha
Published in
Journal of High Energy Physics

We study the dS/CFT duality between minimal type-A higher-spin gravity and the free Sp(2N) vector model. We consider the bulk spacetime as “elliptic” de Sitter space dS4/ℤ2, in which antipodal points have been identified. We apply a technique from arXiv:1509.05890, which extracts the quantum-mechanical commutators (or Poisson brackets) of the linea...

Neiman, Yasha
Published in
Journal of High Energy Physics

We consider the holographic duality between type-A higher-spin gravity in AdS4 and the free U(N) vector model. In the bulk, linearized solutions can be translated into twistor functions via the Penrose transform. We propose a holographic dual to this transform, which translates between twistor functions and CFT sources and operators. We present a t...

Figueroa, Daniel G. Florio, Adrien Shaposhnikov, Mikhail
Published in
Journal of High Energy Physics

We study fermion number non-conservation (or chirality breaking) in Abelian gauge theories at finite temperature. We consider the presence of a chemical potential μ for the fermionic charge, and monitor its evolution with real-time classical lattice simula- tions. This method accounts for short-scale fluctuations not included in the usual effective...

Grabowski, Frederic Kwapisz, Jan H. Meissner, Krzysztof A.

We show that the Conformal Standard Model supplemented with asymptotically safe gravity can be valid up to arbitrarily high energies and give a complete description of particle physics phenomena. We restrict the mass of the second scalar particle to $\sim 300$ GeV and the masses of heavy neutrinos to $\sim 340$ GeV. These predictions can be explici...

Raychowdhury, Indrakshi
Published in
The European Physical Journal C

Prepotential formulation of gauge theories on honeycomb lattice yields local loop states, which are exact and orthonormal being free from any spurious loop degrees of freedom. We illustrate that, the dynamics of orthonormal loop states are exactly same in both the square and honeycomb lattices. We further extend this construction to arbitrary dimen...

Bridgeland, Tom
Published in
Inventiones mathematicae

We study a class of Riemann–Hilbert problems arising naturally in Donaldson–Thomas theory. In certain special cases we show that these problems have unique solutions which can be written explicitly as products of gamma functions. We briefly explain connections with Gromov–Witten theory and exact WKB analysis.

Gomis, Joaquim Kleinschmidt, Axel Palmkvist, Jakob
Published in
Journal of High Energy Physics

We construct free Lie algebras which, together with the algebra of spatial rotations, form infinite-dimensional extensions of finite-dimensional Galilei Maxwell algebras appearing as global spacetime symmetries of extended non-relativistic objects and non-relativistic gravity theories. We show how various extensions of the ordinary Galilei algebra ...

Rennemo, Jørgen Vold Segal, Ed

Kuznetsov has conjectured that Pfaffian varieties should admit non-commutative crepant resolutions which satisfy his Homological Projective Duality. We prove half the cases of this conjecture, by interpreting and proving a duality of non-abelian gauged linear sigma models proposed by Hori.