The geometric modulus of Calabi-Yau spaces is interpreted as fields in the effective field theory following the compactification of string theory. This interpretation is grounded in concrete formulas, as detailed in textbooks such as "Green-Schwarz-Witten." The process involves expressing vertex operators for massless fields using harmonic forms on the Calabi-Yau manifold, providing a rigorous mathematical framework for this interpretation.
PREREQUISITESThe discussion is beneficial for theoretical physicists, string theorists, and mathematicians interested in the geometric aspects of Calabi-Yau spaces and their applications in string theory.
TFT said:People usually interpret the geometric modulus of a Calabi-Yau internal space as fields in the effective field theory, after compactification of a string theory on some Calabi-Yau space, without a good explanation of this interpretation. If you have a good explanation, please share with us.