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{\large\bf A Search for Squarks of R-Parity Violating SUSY at HERA
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{H1 Collaboration}\\                            
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{\small \em DESY, Hamburg, Germany}\\[6mm]
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A search for squarks of $R$-parity violating supersymmetry is
performed in $ep$ collisions at HERA using H1 1994$\rightarrow$1997
data corresponding to an integrated luminosity of $37 $pb$^{-1}$.
Direct single production of squarks of each generation by $e^+$-quark
fusion via a Yukawa coupling $\lambda'$ is considered and various
possible $R$-parity violating decays and gauge decays of the
squarks are taken into account. Such couplings could lead in
particular to leptoquark-like final states or to explicit manifestation
of lepton number violation.
The sensitivity to $\lambda'$ is shown to be only weakly dependent
on the free parameters of the Minimal Supersymmetric Standard Model
and the reach in the mass-coupling plane extends to domains unexplored in
other direct or indirect searches.
For a Yukawa coupling of the electromagnetic strength squark masses
up to $262 $\, GeV  can be excluded at the $95 \%$ confidence level; this
sensitivity reaches still $175 $\, GeV  for a 100 times smaller coupling
strength. Squarks coupling to both $e-q$ and $\tau - q'$ pairs are also
searched for and the absence of signal allows constraints to be set on
the Yukawa coupling involving the $\tau$ lepton which explore a yet
uncovered domain.

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