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The Conway Moonshine Module is a Reflected K3 Theory (2020)
Journal Article
Taormina, A., & Wendland, K. (2020). The Conway Moonshine Module is a Reflected K3 Theory. Advances in Theoretical and Mathematical Physics, 24(5), 1247-1323. https://doi.org/10.4310/atmp.2020.v24.n5.a6

Recently, Duncan and Mack-Crane established an isomorphism, as Virasoro modules at central charges c = 12, between the space of states of the Conway Moonshine Module and the space of states of a special K3 theory that was extensively studied some tim... Read More about The Conway Moonshine Module is a Reflected K3 Theory.

SU(2) channels the cancellation of K3 BPS states (2020)
Journal Article
Taormina, A., & Wendland, K. (2020). SU(2) channels the cancellation of K3 BPS states. Journal of High Energy Physics, 2020(04), Article 184. https://doi.org/10.1007/jhep04%282020%29184

The conformal field theoretic elliptic genus, an invariant for N = (2, 2) superconformal field theories, counts the BPS states in any such theory with signs, according to their bosonic or fermionic nature. For K3 theories, this invariant is the sourc... Read More about SU(2) channels the cancellation of K3 BPS states.

Not doomed to fail (2018)
Journal Article
Taormina, A., & Wendland, K. (2018). Not doomed to fail. Journal of High Energy Physics, 2018(09), Article 062. https://doi.org/10.1007/jhep09%282018%29062

In their recent manuscript “An uplifting discussion of T-duality ” [26], J. Harvey and G. Moore have reevaluated a mod two condition appearing in asymmetric orbifold constructions as an obstruction to the description of certain symmetries of toroidal... Read More about Not doomed to fail.

Reciprocal Nucleopeptides as the Ancestral Darwinian Self-Replicator (2017)
Journal Article
Banwell, E. F., Piette, B. M., Taormina, A., & Heddle, J. G. (2018). Reciprocal Nucleopeptides as the Ancestral Darwinian Self-Replicator. Molecular Biology and Evolution, 35(2), 404-416. https://doi.org/10.1093/molbev/msx292

Even the simplest organisms are too complex to have spontaneously arisen fully-formed, yet precursors to first life must have emerged ab initio from their environment. A watershed event was the appearance of the first entity capable of evolution: the... Read More about Reciprocal Nucleopeptides as the Ancestral Darwinian Self-Replicator.

A twist in the M24 moonshine story (2015)
Journal Article
Taormina, A., & Wendland, K. (2015). A twist in the M24 moonshine story. Confluentes mathematici, 7(1), 83-113. https://doi.org/10.5802/cml.19

Prompted by the Mathieu Moonshine observation, we identify a pair of 45-dimensional vector spaces of states that account for the first order term in the massive sector of the elliptic genus of K3 in every Z2-orbifold CFT on K3. These generic states a... Read More about A twist in the M24 moonshine story.

A K3 sigma model with Z_2^8:M_20 symmetry (2014)
Journal Article
Gaberdiel, M., Taormina, A., Volpato, R., & Wendland, K. (2014). A K3 sigma model with Z_2^8:M_20 symmetry. Journal of High Energy Physics, 2014(2), Article 22. https://doi.org/10.1007/jhep02%282014%29022

The K3 sigma model based on the Z2-orbifold of the D4-torus theory is studied. It is shown that it has an equivalent description in terms of twelve free Majorana fermions, or as a rational conformal field theory based on the affine algebra b su(2)6.... Read More about A K3 sigma model with Z_2^8:M_20 symmetry.

The overarching finite symmetry group of Kummer surfaces in the Mathieu group M24 (2013)
Journal Article
Taormina, A., & Wendland, K. (2013). The overarching finite symmetry group of Kummer surfaces in the Mathieu group M24. Journal of High Energy Physics, 2013(08), Article 125. https://doi.org/10.1007/jhep08%282013%29125

In view of a potential interpretation of the role of the Mathieu group M24 in the context of strings compactied on K3 surfaces, we develop techniques to combine groups of symmetries from dierent K3 surfaces to larger `overarching' symmetry groups. We... Read More about The overarching finite symmetry group of Kummer surfaces in the Mathieu group M24.

DNA Cages with Icosahedral Symmetry in Bionanotechnology (2009)
Book Chapter
Jonoska, N., Taormina, A., & Twarock, R. (2009). DNA Cages with Icosahedral Symmetry in Bionanotechnology. In A. Condon, D. Harel, & J. Kok (Eds.), Algorithmic bioprocesses (141-158). Springer Verlag. https://doi.org/10.1007/978-3-540-88869-7_9

Blueprints for polyhedral cages with icosahedral symmetry made of circular DNA molecules are provided. The basic rule is that every edge of the cage is met twice in opposite directions by the DNA strand(s), and vertex junctions are realized by a set... Read More about DNA Cages with Icosahedral Symmetry in Bionanotechnology.

DNA duplex cage structures with icosahedral symmetry (2009)
Journal Article
Grayson, N., Taormina, A., & Twarock, R. (2009). DNA duplex cage structures with icosahedral symmetry. Theoretical Computer Science, 410(15), 1440-1447. https://doi.org/10.1016/j.tcs.2008.12.005

A construction method for duplex cage structures with icosahedral symmetry made out of single-stranded DNA molecules is presented and applied to an icosidodecahedral cage. It is shown via a mixture of analytic and computer techniques that there exist... Read More about DNA duplex cage structures with icosahedral symmetry.