Abstract
We study the expectation value of the mathrm{T}overline{mathrm{T}} operator in maximally symmetric spacetimes. We define an diffeomorphism invariant biscalar whose coinciding limit gives the expectation value of the mathrm{T}overline{mathrm{T}} operator. We show that this biscalar is a constant in flat spacetime, which reproduces Zamolodchikov’s result in 2004. For spacetimes with non-zero curvature, we show that this is no longer true and the expectation value of the mathrm{T}overline{mathrm{T}} operator depends on both the one- and two-point functions of the stress-energy tensor.
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