The Covid-19 pandemic has shaken the world since 2020, and impacted all sectors of life. mobility people leaving entering Indonesia was also affected, which halted tourism sector made it unable to support economy welfare Indonesian people. government always puts in effort control impact COVID-19 pandemic, one is by issuing policies that follow overall conditions during pandemic. popular tourist...

We study a vertex operator algebra (VOA) V related to the M(3, p) Virasoro minimal series. This VOA reduces in the simplest case p = 4 to the level two integrable vacuum module of ŝl2. On V there is an action of a commutative current a(z), which is an analog of the current e(z) of ŝl2. Our main concern is the subspace W generated by this action from the highest weight vector of V . Using the Fo...

and the Monster simple group was discussed. In this paper, we will provide the technical details. We will determine the structure of the coset subalgebras and show that they are all generated by two conformal vectors of central charge 1/2.We also study the representation theory of these coset subalgebras and show that the product of two Miyamoto involutions is in the desired conjugacy class of ...

The mixed vanadium-titanium oxo-alkoxy (VTOA) nanoparticles were synthesized via sol-gel method in a chemical reactor with ultra-rapid micromixing. nucleation and growth kinetics particles size, followed by the static/dynamic light scattering methods, quite different from those of pure titanium (TOA) vanadium (VOA) species. It was shown that TOA species appear first serve to be centres attracti...

We use Kazhdan-Lusztig tensoring to, first, describe annihilating ideals of highest weight modules over an affine Lie algebra in terms of the corresponding VOA and, second, to classify tilting functors, an affine analogue of projective functors known in the case of a simple Lie algebra.

For certain vertex operator algebras (e.g., lattice type) and given finite group of automorphisms, we prove existence of a positive definite integral form invariant under the group. Applications include an integral form in the Moonshine VOA which is invariant under the Monster, and examples in other lattice type VOAs.

We determined the inner products of two conformal vectors with central charge 1 2 whose τ -involutions generates S3 if none of τ -involutions are trivial. We also see that a subVA generated by such conformal vectors is a VOA with central charge 1 2 + 20 21 or 4 5 + 6 7 and has a Griess algebra of dimension three or four, respectively.

Let L be a positive definite even lattice of rank one and V + L be the fixed points of the lattice VOA VL associated to L under an automorphism of VL lifting the −1 isometry of L. A set of generators and the full automorphism group of V + L are determined.

We determined the inner products of two conformal vectors with central charge 1 2 whose τ -involutions generates S3 if none of τ -involutions are trivial. We also see that a subVA generated by such conformal vectors is a VOA with central charge 1 2 + 20 21 or 4 5 + 6 7 and has a Griess algebra of dimension three or four, respectively.