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- W4386977650 abstract "We show that all lowest Landau level projected and unprojected chiral parton type fractional quantum Hall ground and edge state trial wave functions, which take the form of products of integer quantum Hall wave functions, can be expressed as conformal field theory (CFT) correlation functions, where we can associate a chiral algebra to each state which defines a CFT that is the ``smallest'' such CFT that can generate the corresponding ground and edge state trial wave functions. A field-theoretic generalisation of Laughlin's plasma analogy, known as generalised screening, is formulated for these states. If this holds, along with an additional assumption, we argue that the inner products of edge state trial wave functions, for parton states with a unique densest wave function, can be expressed as matrix elements of an exponentiated local action operator of the CFT, generalising the result of Dubail et al. [PRB 85, 11531 (2012)], which implies the equality between edge state and entanglement level counting to state counting in the CFT. We numerically test this result in the case of the unprojected $nu = 2/5$ composite fermion state and the bosonic $nu = 1$ $phi_2^2$ parton state. We discuss how Read's arguments [PRB 79, 045308 (2009)] still apply, implying that conformal blocks of the CFT defined by the given chiral algebra are valid quasi-hole trial wave functions, with the adiabatic braiding statistics given by the monodromy of these functions. It is shown that all chiral composite fermion wave functions can be expressed as CFT correlation functions without explicit symmetrisation and that the ground, edge, and quasi-hole trial wave functions of the $phi_n^m$ parton states can be expressed as the conformal blocks of the $U(1) otimes SU(n)_m$ WZW models. We discuss the $phi_2^k$ series in detail, where several examples of quasi-hole braiding statistics calculations are given." @default.
- W4386977650 created "2023-09-23" @default.
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- W4386977650 date "2023-09-21" @default.
- W4386977650 modified "2023-10-18" @default.
- W4386977650 title "Conformal field theory approach to parton fractional quantum Hall trial wave functions" @default.
- W4386977650 doi "https://doi.org/10.48550/arxiv.2309.11910" @default.
- W4386977650 hasPublicationYear "2023" @default.
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