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Every isometry s of a positive-definite even lattice Q can be lifted to an automorphism of the lattice vertex algebra V_Q. An important problem in vertex algebra theory and conformal field theory is to classify the representations of the s-invariant subalgebra V_Q^s of V_Q, known as an orbifold. In the case when s is an isometry of Q of order two, we have classified the irreducible modules of the orbifold vertex algebra V_Q^s and identified them as submodules of twisted or untwisted V_Q-modules in [Bavalov-Elsinger]. Here we calculate their quantum dimensions and fusion products. The examples where Q is the orthogonal direct sum of two copies of the A_2 root lattice and s is the 2-cycle permutation as well as where Q is the A_n root latice and s is a Dynkin diagram automorphism are presented in detail.

Every isometry s of a positive-definite even lattice Q can be lifted to an automorphism of the lattice vertex algebra V_Q. An important problem in vertex algebra theory and conformal field theory is to classify the representations of the s-invariant subalgebra V_Q^s of V_Q, known as an orbifold. In the case when s is an isometry of Q of order two, we have classified the irreducible modules of the orbifold vertex algebra V_Q^s and identified them as submodules of twisted or untwisted V_Q-modules in [Bavalov-Elsinger]. Here we calculate their quantum dimensions and fusion products. The examples where Q is the orthogonal direct sum of two copies of the A_2 root lattice and s is the 2-cycle permutation as well as where Q is the A_n root latice and s is a Dynkin diagram automorphism are presented in detail.

So it turns out that Quantum Physics is a pretty damn complex & confusing topic. Which may explain why, in this month's tech episode, we spend a lot of time talking about anything but the given topic - Quantum computing.If you're happy that we probably get most of this completely wrong then tune in for particle porn positions, 30's physicists who got some, and a pretty filthy spin on a classic computer science problem - i.e. what if that traveling salesman was selling d*ck pics?--- Send in a voice message: https://anchor.fm/wdawkt/message

So it turns out that Quantum Physics is a pretty damn complex & confusing topic. Which may explain why, in this month's tech episode, we spend a lot of time talking about anything but the given topic - Quantum computing.If you're happy that we probably get most of this completely wrong then tune in for particle porn positions, 30's physicists who got some, and a pretty filthy spin on a classic computer science problem - i.e. what if that traveling salesman was selling d*ck pics?--- Send in a voice message: https://anchor.fm/wdawkt/message

So it turns out that Quantum Physics is a pretty damn complex & confusing topic. Which may explain why, in this month's tech episode, we spend a lot of time talking about anything but the given topic - Quantum computing.If you're happy that we probably get most of this completely wrong then tune in for particle porn positions, 30's physicists who got some, and a pretty filthy spin on a classic computer science problem - i.e. what if that traveling salesman was selling d*ck pics?--- Send in a voice message: https://anchor.fm/wdawkt/message

The realization in 1985 that fullerenes exist in nature [1] as a third form of carbon-carbon clustering, continues to inspire new areas of research. In particular, the study of closed-cage endohedral fullerenes [2-6] is of scientific interest because of its potential application in a number of promising fields from medical imaging to astrophysics. One of these is to provide a possible chronometer for studying the age and origin of certain astromaterials in the solar system. Fullerenes are closed carbon cages that are fundamentally related to a long-standing debate over the "Q-Phase" origin of planetary noble gases in carbonaceous chondrites [7]. Although Q-phase has been identified as the carrier of planetary noble gases [8- 10], its physical nature has not been explained. Our limited understanding of it is based primarily on the laboratory chemical processing which it survives as well as the fact that it must have been widely distributed in the solar nebula [11]. Yet as important as it might be while preoccupying some 30 years of research, the question of what actually is Q-phase remains unresolved.

The realization in 1985 that fullerenes exist in nature [1] as a third form of carbon-carbon clustering, continues to inspire new areas of research. In particular, the study of closed-cage endohedral fullerenes [2-6] is of scientific interest because of its potential application in a number of promising fields from medical imaging to astrophysics. One of these is to provide a possible chronometer for studying the age and origin of certain astromaterials in the solar system. Fullerenes are closed carbon cages that are fundamentally related to a long-standing debate over the "Q-Phase" origin of planetary noble gases in carbonaceous chondrites [7]. Although Q-phase has been identified as the carrier of planetary noble gases [8- 10], its physical nature has not been explained. Our limited understanding of it is based primarily on the laboratory chemical processing which it survives as well as the fact that it must have been widely distributed in the solar nebula [11]. Yet as important as it might be while preoccupying some 30 years of research, the question of what actually is Q-phase remains unresolved.