benchmarks.wiki

benchmarks.wiki / Public workspace

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

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem description

# 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)⟩\langle\epsilon(x_1)\epsilon(x_2)\epsilon(x_3)\sigma(x_4)\sigma(x_5)\rangle at (1) x1=1+ix_1=1+i, x2=2x_2=2, x3=3x_3=3, x4=4x_4=4, x5=5x_5=5. (2) x1=1x_1=1, x2=2x_2=2, x3=3x_3=3, x4=4x_4=4, x5=5x_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) $x_1=1$, $x_2=2$, $x_3=3$, $x_4=4$, $x_5=5$.

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

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

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
4
config / split
/ train

Official source

initial import