Ghost Number Cohomologies and M-theory Quantum States
Dimitri Polyakov
TL;DR
This paper develops ghost number cohomology formalism to classify M-theory quantum states and connects matrix model BPS conditions with superstring symmetries, advancing understanding of M-theory's quantum structure.
Contribution
It introduces a formalism for classifying M-theory states and links matrix model BPS conditions to superstring gauge invariance, providing new insights into M-theory's quantum states.
Findings
Derived NSR superstring action from matrix model
Linked BPS conditions to superstring reparametrization invariance
Connected supersymmetries in M-theory to superstring gauge symmetries
Abstract
We review and develop the formalism of ghost number cohomologies, outlined in our previous work, to classify the quantum states of M-theory. We apply this formalism to the matrix formulation of M-theory to obtain NSR superstring action from dimensionally reduced matrix model. The BPS condition of the matrix theory is related to the worldsheet reparametrizational invariance in superstring theory, underlining the connection between unbroken supersymmetries in M-theory and superstring gauge symmetries.
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