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Context. Lyman alpha emitting galaxies (LAEs) are used to probe the distantuniverse and are therefore important for galaxy evolution studies and forproviding clues to the nature of the epoch of reionization, but the exactcircumstances under which Lyman alpha escapes a galaxy are still not fullyunderstood.  Aims. The Trident project is designed to simultaneously examine Lyman alpha,H-alpha and Lyman Continuum emission from galaxies at redshift z~2, thuslinking together these three aspects of ionising radiation in galaxies. In thispaper, we outline the strategy of this project and examine the properties ofLAEs in the GOODS North field.  Methods. We performed a narrowband LAE survey in GOODS North using existingand two custom made filters at the Nordic Optical Telescope with MOSCA. We usecomplementary broad band archival data in the field to make a careful candidateselection and perform optical to near-IR SED fitting. We also estimatefar-infrared luminosities by matching our candidates to detections inSpitzer/MIPS 24{\mu}m and Herschel/PACS catalogs.  Results. We find a total of 25 LAE candidates, probing mainly the bright endof the LAE luminosity function with L_Ly {\alpha} ~ 1-15e42 erg/s. They displaya range of masses of ~0.5-50e9 M_solar, and average ages from a few tens of Myrto 1 Gyr when assuming a constant star formation history. The majority of ourcandidates also show signs of recent elevated star formation. Three candidateshave counterparts in the GOODS-Herschel far-IR catalogue, with luminositiesconsistent with ultra-luminous infrared galaxies (ULIRGs).  Conclusions. The wide range of parameters derived from our SED fitting, aswell as part of our sample being detected as ULIRGs, seems to indicate that atthese Lyman alpha luminosities, LAEs do not necessarily have to be youngdwarfs, and that a lack of dust is not required for Lyman alpha to escape.

Trident: A three-pronged galaxy survey. I. Lyman alpha emitting galaxies at z~2 in GOODS North