Campaign groups have received letters reminding them about penalties under new protest laws.
Defending the Home Office letters, Mr Tugendhat told the BBC that anti-monarchy groups have the "liberty that anybody in the United Kingdom has to protest, what they don't have the liberty to do is to disrupt others".
Mr Tugendhat refused to discuss what actions could be punished at the Coronation "for fear of encouraging people to find loopholes", but said they were introduced in response to protests in the UK becoming "disruptive" and "intrusive".Officers are being drafted in from forces elsewhere in the country to bolster policing numbers
The Met will use live facial recognition cameras which scan faces and search for matches against a watch list - in this case, police say, people whose presence would "raise public protection concerns" including those wanted for arrest or have outstanding warrants. Anyone who fixes themselves to an object or building to create an immovable obstacle, a tactic known as "locking on", could be jailed for six months.
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