Generic 2D Horndeski theories arise from dimensional reduction of d≥4 gravities, yielding a Birkhoff theorem for quasi-topological gravities where static spherically symmetric solutions satisfy g_tt g_rr = -1 and are determined algebraically.
McGuigan, C.R
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abstract
We discuss two dimensional string theories containing gauge fields introduced either via coupling to open strings, in which case we get a Born-Infeld type action, or via heterotic compactification. The solutions to the modified background field equations are charged black holes which exhibit interesting space-time geometries. We also compute their masses and charges.
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The one-loop correction to near-extremal quantum entropy in this charged 2D black hole is exponentially suppressed at low temperature but scales as sqrt(beta) when the sl(2,R) level and SL(2,R)-U(1) coupling are tuned, providing a worldsheet realization of the black hole/string transition.
New exact non-SUSY black brane solutions in 10D heterotic supergravity with two gauge charges show a spontaneous symmetry breaking and dynamical instability at low temperature that predicts additional black hole solutions.
The work analyzes the dual geometry of charged black holes in a T-duality invariant heterotic string theory in two dimensions and extends a prior non-perturbative solution to multiple abelian gauge fields.
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All $2D$ generalised dilaton theories from $d\geq 4$ gravities
Generic 2D Horndeski theories arise from dimensional reduction of d≥4 gravities, yielding a Birkhoff theorem for quasi-topological gravities where static spherically symmetric solutions satisfy g_tt g_rr = -1 and are determined algebraically.
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One-loop effect in the charged 2D black hole near extremality
The one-loop correction to near-extremal quantum entropy in this charged 2D black hole is exponentially suppressed at low temperature but scales as sqrt(beta) when the sl(2,R) level and SL(2,R)-U(1) coupling are tuned, providing a worldsheet realization of the black hole/string transition.
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New analytic solutions of non-SUSY black branes in $10$-D heterotic supergravity and the phase transition
New exact non-SUSY black brane solutions in 10D heterotic supergravity with two gauge charges show a spontaneous symmetry breaking and dynamical instability at low temperature that predicts additional black hole solutions.
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Heterotic Black Holes in Duality-Invariant Formalism
The work analyzes the dual geometry of charged black holes in a T-duality invariant heterotic string theory in two dimensions and extends a prior non-perturbative solution to multiple abelian gauge fields.