Gst registration in another state

temporary work for few months

You may take registration as a Casual Taxable person in that State for temporary work, it's for 90 days , you may get extension another 90 days ( total  6 months )  so just confirm.  Casual  Taxable person is define under section 2(20) of the CGST Act . 

Take others opinion  as well .  

What is the nature of work??

You can do it form Delhi also by charging and paying IGST 

Work in another State:
• If you supply services from Delhi (your registered place) to a client in another State, it's an inter-State supply (IGST). No separate registration needed.
• If you set up a site office, branch or godown in the other State from which you supply (e.g. a works contract executed at a site, with a site office), registration in that State is generally required (a fixed establishment). For works contracts on immovable property, the place of supply is the location of the property. CBIC and AARs have held that contractors executing works in another State need registration there if they have a place of business at the site.
• For goods supplied from Delhi to the other State, no registration there.