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Full-Text Articles in Physics
Uv Completions For Non-Critical Strings, Fabio Apruzzi, Falk Hassler, Jonathan J. Heckman, Ilarion V. Melnikov
Uv Completions For Non-Critical Strings, Fabio Apruzzi, Falk Hassler, Jonathan J. Heckman, Ilarion V. Melnikov
Publications and Research
Compactifications of the physical superstring to two dimensions provide a general template for realizing 2D conformal field theories coupled to worldsheet gravity, i.e. non-critical string theories. Motivated by this observation, in this paper we determine the quasi-topological 8D theory which governs the vacua of 2D N = (0, 2) gauged linear sigma models (GLSMs) obtained from compactifications of type I and heterotic strings on a Calabi-Yau fourfold. We also determine the quasi-topological 6D theory governing the 2D vacua of intersecting 7-branes in compactifications of F-theory on an elliptically fibered Calabi-Yau fivefold, where matter fields and interaction terms localize on lower-dimensional …
Clifford Algebras And Their Decomposition Into Conjugate Fermionic Heisenberg Algebras, Sultan Catto, Yasemin Gürcan, Amish Khalfan, Levent Kurt, V. Kato La
Clifford Algebras And Their Decomposition Into Conjugate Fermionic Heisenberg Algebras, Sultan Catto, Yasemin Gürcan, Amish Khalfan, Levent Kurt, V. Kato La
Publications and Research
We discuss a construction scheme for Clifford numbers of arbitrary dimension. The scheme is based upon performing direct products of the Pauli spin and identity matrices. Conjugate fermionic algebras can then be formed by considering linear combinations of the Clifford numbers and the Hermitian conjugates of such combinations. Fermionic algebras are important in investigating systems that follow Fermi-Dirac statistics. We will further comment on the applications of Clifford algebras to Fueter analyticity, twistors, color algebras, M-theory and Leech lattice as well as unification of ancient and modern geometries through them.
Unifying Ancient And Modern Geometries Through Octonions, Sultan Catto, Yasemin Gürcan, Amish Khalfan, Levent Kurt
Unifying Ancient And Modern Geometries Through Octonions, Sultan Catto, Yasemin Gürcan, Amish Khalfan, Levent Kurt
Publications and Research
We show the first unified description of some of the oldest known geometries such as the Pappus’ theorem with more modern ones like Desargues’ theorem, Monge’s theorem and Ceva’s theorem, through octonions, the highest normed division algebra in eight dimensions. We also show important applications in hadronic physics, giving a full description of the algebra of color applicable to quark physics, and comment on further applications.