criPt

Prompt

{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "axFYkNCBSJf4" }, "source": [ "# Problem setup:\n", "Consider a (1+1)-D CFT on a torus that consists of right- and left-moving edges of a Moore-Read state at filling fraction $\\nu=1/k$. The primary fields are labeled by $(j_L,n_L,j_R,n_R)$, where $j_{L/R}=0,1/2,1$, $n_{L/R}\\in Z_{2k}$ and the electron operators in the theory are $(1,2k,0,0)$ and $(0,0,1,2k)$." ] }, { "cell_type": "markdown", "metadata": { "id": "RS50yGQHpxoL" }, "source": [ "# Main problem:\n", "Given $k=2$, find the expectation values of Verlinde lines assuming the identity operator has expectation value 1. Return your answer as a tuple $(j_L,n_L,j_R,n_R,\\lambda_{(j_L,n_L,j_R,n_R)})$, where $\\lambda_{(j_L,n_L,j_R,n_R)}$ is the expectation value." ] }, { "cell_type": "markdown", "metadata": { "id": "TTIMkf9sluBb" }, "source": [ "### Parsing template:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "97VzjGn6mz3r" }, "outputs": [], "source": [ "import sympy as sp\n", "\n", "def answer():\n", " r\"\"\"\n", " Return the expectation values of Verlinde lines and corresponding labels.\n", "\n", " Inputs\n", " ----------\n", " None\n", "\n", " Outputs\n", " ----------\n", " values: set[tuple[float, int, float, int, complex]], a set of tuples $(j_L,n_L,j_R,n_R,\\lambda_{(j_L,n_L,j_R,n_R)})$\n", " where $\\lambda_{(j_L,n_L,j_R,n_R)}$ is the expectation value of the Verlinde line operator.\n", " \"\"\"\n", "\n", " # ------------------ FILL IN YOUR RESULTS BELOW ------------------\n", " values = ...\n", " # ---------------------------------------------------------------\n", "\n", " return values" ] } ], "metadata": { "colab": { "provenance": [] }, "kernelspec": { "display_name": "Python 3", "name": "python3" }, "language_info": { "name": "python" } }, "nbformat": 4, "nbformat_minor": 0 }