expressed by a unitary transformation $\Psi_L(g)=\exp(-i\xi_{\alpha\beta}\Lambda^{\alpha\beta})\Psi_L(0)$, where $\xi_{\alpha\beta}$ is a real symmetric tensor and $\Lambda^{\alpha\beta}=\frac{1}{4}\sum_i \{ R_i^a, R_i^b\}$ is the generator of area-preserving diffeomorphisms [@duncan]. The expression for the transformation matrix and the first-quantized expression for the wavefunction in Eq.(\[laughlinwfg\]) is given in Ref. .

The freedom in choosing $g$ implies that the usual rotationally-symmetric Laughlin wavefunction is a representative of a class of wavefunctions. However, being a topological phase, the physics of the Laughlin state does not depend on any given metric or lengthscales. Various wavefunctions $\Psi_L^{\nu=1/m} (g)$ differ from one another microscopically in terms of the shapes of their elementary droplets. For a FQH state at filling $\nu=p/q$ ($p$, $q$ are not necessarily co-prime), an elementary droplet is a unit of fluid containing $p$ particles in an area that encloses $q$ flux quanta. The incompressible state is a condensate of such elementary droplets. For example, at $\nu=1/3$ we have a single particle occupying each three consequtive orbitals and preventing more particles from populating this region. In the language of root partitions and the Jack polynomials [@jack], the Laughlin $\nu=1/3$ state is defined by a root pattern $100100100100100\ldots$, and therefore its elementary droplet is $100$. Note that these simple 