Struct ConformalFieldTheory 

pub struct ConformalFieldTheory {
    pub c: f64,
    pub primaries: Vec<(f64, i32)>,
    pub name: String,
}

Conformal field theory (CFT) data for a 2-D critical theory.

Contains central charge c, operator content (scaling dimensions and spins), and utilities for computing the partition function and modular invariants.

Fields

c: f64

Central charge c.

primaries: Vec<(f64, i32)>

List of (scaling dimension Δ, spin s) for primary operators.

name: String

Theory name.

Implementations

impl ConformalFieldTheory

pub fn new(c: f64, name: impl Into<String>) -> Self

Construct a CFT with central charge c and no primaries yet.

pub fn add_primary(&mut self, delta: f64, spin: i32)

Add a primary operator with scaling dimension Δ and spin s.

pub fn casimir_energy(&self, l: f64) -> f64

Casimir energy on a cylinder of circumference L: E_0 = −π c / (6 L).

pub fn holomorphic_dimensions(&self) -> Vec<(f64, f64)>

Conformal dimensions h = (Δ + s)/2, h̄ = (Δ − s)/2.

pub fn virasoro_character(&self, h: f64, q: f64, n_terms: usize) -> f64

Virasoro character χ_h(τ) in the high-temperature limit (simplified).

χ_h(q) ≈ q^{h − c/24} / η(q), where η(q) ≈ q^{1/24} ∏(1−q^n). Here we use a truncated expansion up to q^N_terms.

pub fn s_matrix_wzw(&self, n: usize, m: usize, k: usize) -> f64

Modular S-matrix element S_{h h’} for a compact boson CFT (c = 1).

S_{nm} = √(2/k) sin(π n m / k) for level-k SU(2) WZW model.

pub fn partition_function(&self, q: f64, n_terms: usize) -> f64

Partition function on a torus: Z(τ) = Tr[q^{L_0 − c/24} q̄^{L̄_0 − c/24}].

Simplified: sum over primaries of |χ_h(q)|².

pub fn central_charge_from_tt(&self, z: f64, tt_correlator: f64) -> f64

Central charge from the two-point function of the stress tensor T(z):

⟨T(z)T(0)⟩ = c/(2z⁴), extract c = 2 z⁴ ⟨T(z)T(0)⟩.

pub fn satisfies_unitarity_bound(&self) -> bool

Unitary bound: all primary operators must satisfy Δ ≥ |s| (Δ ≥ 0 for scalars).

Trait Implementations

impl Clone for ConformalFieldTheory

fn clone(&self) -> ConformalFieldTheory

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for ConformalFieldTheory

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.