<p>We study the partition function associated with the democratic formulation of M-theory, focusing on its global definition and quantum properties. Using a path integral representation that makes manifest the underlying cohomological structure, we analyze the coupled system of M-theory form fields (<i>A</i><sub>3</sub> + <i>A</i><sub>6</sub>), and the background fields (<i>C</i><sub>4</sub> + <i>C</i><sub>7</sub>), as well as their associated global transformations. We show that the resulting description is naturally captured by a Heisenberg-type group reflecting the presence of a quadratic coupling between electric and magnetic degrees of freedom. This framework provides a transparent characterization of the global structure of the theory, clarifies the role of higher-form global symmetry, and allows for a consistent definition of the partition function in terms of higher-dimensional auxiliary manifolds.</p>

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Holographic partition function of democratic M-theory

  • J. A. Rosabal

摘要

We study the partition function associated with the democratic formulation of M-theory, focusing on its global definition and quantum properties. Using a path integral representation that makes manifest the underlying cohomological structure, we analyze the coupled system of M-theory form fields (A3 + A6), and the background fields (C4 + C7), as well as their associated global transformations. We show that the resulting description is naturally captured by a Heisenberg-type group reflecting the presence of a quadratic coupling between electric and magnetic degrees of freedom. This framework provides a transparent characterization of the global structure of the theory, clarifies the role of higher-form global symmetry, and allows for a consistent definition of the partition function in terms of higher-dimensional auxiliary manifolds.