nLab Carlos S. Shahbazi

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Selected writings

On generalized Spin(7)-manifolds and M-theory on G₂-manifolds:

• Mariana Graña, Carlos S. Shahbazi, Marco Zambon, $Spin(7)$-manifolds in compactifications to four dimensions, JHEP11(2014)046 [arXiv:1405.3698]

On G-structures in M-theory:

• Carlos S. Shahbazi, M-theory on non-Kähler manifolds, JHEP 09 (2015) 178 [arXiv:1503.00733]

On D=6 supergravity:

• M. Garcia-Fernandez, Carlos S. Shahbazi: Self-dual generalized metrics for pure $\mathcal{N}=1$ six-dimensional Supergravity [arXiv:1505.03088, inSpire:1369379]

and in relation to contact geometry:

• Ángel Murcia, Carlos S. Shahbazi, Contact metric three manifolds and Lorentzian geometry with torsion in six-dimensional supergravity, Journal of Geometry and Physics 158 (2020) [arXiv:1912.08723, doi:10.1016/j.geomphys.2020.103868]

Discussion of Killing spinors on globally hyperbolic Lorentzian manifolds:

• Ángel Murcia, Carlos S. Shahbazi, Parallel spinors on globally hyperbolic Lorentzian four-manifolds, Ann Glob Anal Geom 61 (2022) 253–292 [arXiv:2011.02423, doi:10.1007/s10455-021-09808-y]

On duality-symmetric abelian Yang-Mills theory (“premetric electromagnetism”) in the generality allowing “U-duality-twists” among several abelian gauge fields, motivated by application to D=4 supergravity:

• Calin Lazaroiu, Carlos S. Shahbazi, The duality covariant geometry and DSZ quantization of abelian gauge theory, Advances in Theoretical and Mathematical Physics 26 (2022) 2213–2312 [arXiv:2101.07236, doi:10.4310/ATMP.2022.v26.n7.a5]

• Calin Lazaroiu, Carlos S. Shahbazi, The geometry and DSZ quantization of four-dimensional supergravity, Letters in Mathematical Physics 113 4 (2023) [arXiv:2101.07778, doi:10.1007/s11005-022-01626-y]

On variants of differentially concretified higher moduli stacks of ordinary differential cohomology (higher bundle gerbes with connection) with application to higher gauge theory:

• Severin Bunk, Carlos S. Shahbazi, Higher Geometric Structures on Manifolds and the Gauge Theory of Deligne Cohomology [arXiv:2304.06633]

On differential spinors (such as Killing spinors) with respect to torsion understood as connections on bundle gerbes (as occurs in in supergravity):

• Carlos S. Shahbazi, Differential spinors and Kundt three-manifolds with skew-torsion [arXiv:2405.03756]

• Carlos S. Shahbazi: Torsion parallel spinors on Lorentzian four-manifolds and supersymmetric evolution flows on bundle gerbes, PhD thesis, Hamburg (2025) [arXiv:2507.06228]