Hi Airan,
Yes, FILTER = LowQual if PE<3 OR MAPQ<20 (for translocations: PE<5 OR MAPQ<20). Precise variants have split-read support (SR>0).
All VCF INFO fields give information about the structural variant site whereas all genotype tags (FORMAT fields) are about the genotype of one particular sample. An example is for instance a deletion site occurring in 100 out of 1000 samples so at 10% frequency. The deletion site will be very confident because Delly accumulates evidence from 100 deletion carriers. However, a single sample having this deletion might have only 1 read supporting the deletion and 6 reads supporting the reference so the genotype could be het. or hom. reference depending on the quality of the read pairs. These reference and alternative read counts + qualities are used to compute genotype likelihoods for hom. ref., het. and hom. alt. (GLs). The final genotype (GT) is simply derived from the best GL and GQ is a phred-scaled genotype quality reflecting the confidence in this genotype. If GQ<15 the genotype is flagged as LowQual.
I mostly worked on the genotyping lately so if you plan to filter based on the genotypes please update to the latest Delly version, v0.5.9.
-Tobias