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CritPt / Challenge_64_main / We consider the two-dimensional Ising conformal field theory.

Problem

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code template

Code

def answer():
    r"""
    Return the values of the 5-point correlation function

    Inputs
    ----------
    None

    Outputs
    ----------
    corr_1, corr_2: float, the 5-point correlation function, $\langle\epsilon(x_1)\epsilon(x_2)\epsilon(x_3)\sigma(x_4)\sigma(x_5)\rangle$ at
        (1) $x_1=1+i$, $x_2=2$, $x_3=3$, $x_4=4$, $x_5=5$
        (2) $x_1=1$, $x_2=2$, $x_3=3$, $x_4=4$, $x_5=5$
    """

    # ------------------ FILL IN YOUR RESULTS BELOW ------------------
    corr_1 = ...
    corr_2 = ...
    # ---------------------------------------------------------------

    return corr_1, corr_2

problem description

# Problem setup: We consider the two-dimensional Ising conformal field theory. # Main problem: Compute the 5-point correlation function

\langle\epsilon(x_1)\epsilon(x_2)\epsilon(x_3)\sigma(x_4)\sigma(x_5)\rangle

at (1)

x_1=1+i

x_2=2

x_3=3

x_4=4

x_5=5

. (2)

x_1=1

x_2=2

x_3=3

x_4=4

x_5=5

Plain-text mathematical notation (without MathML)

# Problem setup:
We consider the two-dimensional Ising conformal field theory.

# Main problem:

Compute the 5-point correlation function ⟨ϵ(x₁)ϵ(x₂)ϵ(x₃)σ(x₄)σ(x₅)⟩ at

(1) x₁=1+i, x₂=2, x₃=3, x₄=4, x₅=5.

(2) x₁=1, x₂=2, x₃=3, x₄=4, x₅=5.

Original LaTeX notation

# Problem setup:
We consider the two-dimensional Ising conformal field theory.

# Main problem:

Compute the 5-point correlation function $\langle\epsilon(x_1)\epsilon(x_2)\epsilon(x_3)\sigma(x_4)\sigma(x_5)\rangle$ at

(1) $x_1=1+i$, $x_2=2$, $x_3=3$, $x_4=4$, $x_5=5$.

(2) $x_1=1$, $x_2=2$, $x_3=3$, $x_4=4$, $x_5=5$.

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Source and history

upstream_id / Original problem ID: Challenge_64_main
task_id: 593a2931-aa62-525b-89dd-42cf9d6c3765
task_key: train--Challenge~5f64~5fmain
task_revision_id: 1
config / split: / train

Official source

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