  We study the radius $R_T$ of a self-repellent fractional Brownian motion
$\left\{B^H_t\right\}_{0\le t\le T}$ taking values in $\mathbb{R}^d$. Our
sharpest result is for $d=1$, where we find that with high probability,
\begin{equation*}
  R_T \asymp T^\nu, \quad \text{with $\nu=\frac{2}{3}\left(1+H\right)$.}
\end{equation*} For $d>1$, we provide upper and lower bounds for the exponent
$\nu$, but these bounds do not match.
