A path integral for the chiral-form partition function

Abstract

Starting from the recent action proposed by Sen [1, 2], we evaluate the partition function of the compact chiral boson on a two-dimensional torus using a path-integral formulation. Crucially, we use a Wick-rotation procedure obtained from a complex deformation of the physical spacetime metric. This directly reproduces the expected result including general characteristics for the theta functions. We also present results for the chiral 2-form potential in six dimensions which can be readily extended to 4k+2 dimensions.

Toward a Further Understanding of the Decreased β-Phase Content in β-Nucleated Polypropylene Random Copolymer: From Nucleation and Growth Kinetics

“…The form of the right part in eq also conforms to the free energy-dependent partition function q (=∑exp. (−Δ G* / RT )) commonly used in the field of statistical mechanics. − Thereby, the parameter i β / i based on the nucleation barrier is expected to describe the nucleation selectivity of DCHT. The value of i β / i is between 0 (β-nuclei is not induced at all) and 100% (β-nuclei is the only type).…”

Exploring T‐Duality for Self‐Dual Fields

“…This is acceptable since dimensional reduction of those terms is straightforward, and it suffices to focus our attention on the RR 5-form flux kinetic term. This kinetic term in the 10d pseudoaction looks like S ∼ ∫ 10d F (5) ∧ ⋆F (5) = ∫ 10d dC (4) ∧ ⋆dC (4) .…”

“…The mode expansion of the field strength is easily recovered from the mode expansion of the gauge potential. In the limit where the circle is shrunk to zero size, only the zero modes survive (we drop the subscript for them) and the effective kinetic term in 9d assumes the form 5) ∧ ⋆f (5) + h (4) ∧ ⋆h (4) )…”

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