scholarly journals Twisted string theory in anti-de Sitter space

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Songyuan Li ◽  
Jan Troost
Keyword(s):  
String Theory ◽  
Boundary Energy ◽  
Three Dimensional ◽  
De Sitter Space ◽  
Momentum Tensor ◽  
Space Time ◽  
De Sitter ◽  
World Sheet ◽  
The World ◽  
Time Boundary

Abstract We construct a string theory in three-dimensional anti-de Sitter space-time that is independent of the boundary metric. It is a topologically twisted theory of quantum gravity. We study string theories with an asymptotic N = 2 superconformal symmetry and demonstrate that, when the world sheet coupling to the space-time boundary metric undergoes a U(1) R-symmetry twist, the space-time boundary energy-momentum tensor becomes topological. As a by-product of our analysis, we obtain the world sheet vertex operator that codes the space-time energy-momentum for conformally flat boundary metrics.

scholarly journals JT gravity limit of Liouville CFT and matrix model

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Kenta Suzuki ◽  
Tadashi Takayanagi
Keyword(s):  
String Theory ◽  
Matrix Model ◽  
Semiclassical Limit ◽  
Liouville Theory ◽  
Partition Functions ◽  
Two Dimensional ◽  
De Sitter ◽  
World Sheet ◽  
Boundary Terms ◽  
The World

Abstract In this paper we study a connection between Jackiw-Teitelboim (JT) gravity on two-dimensional anti de-Sitter spaces and a semiclassical limit of c < 1 two-dimensional string theory. The world-sheet theory of the latter consists of a space-like Liouville CFT coupled to a non-rational CFT defined by a time-like Liouville CFT. We show that their actions, disk partition functions and annulus amplitudes perfectly agree with each other, where the presence of boundary terms plays a crucial role. We also reproduce the boundary Schwarzian theory from the Liouville theory description. Then, we identify a matrix model dual of our two-dimensional string theory with a specific time-dependent background in c = 1 matrix quantum mechanics. Finally, we also explain the corresponding relation for the two-dimensional de-Sitter JT gravity.

Noncommutative scalar field in de Sitter space–time and pair creation process

2021 ◽  
Vol 36 (02) ◽  
pp. 2150011
Author(s):  
Nabil Mehdaoui ◽  
Lamine Khodja ◽  
Salah Haouat
Keyword(s):  
Scalar Field ◽  
Chemical Potential ◽  
De Sitter Space ◽  
Space Time ◽  
Pair Creation ◽  
De Sitter ◽  
Creation Process ◽  
Scalar Particles ◽  
Constant Electromagnetic Field

In this work, we address the process of pair creation of scalar particles in [Formula: see text] de Sitter space–time in presence of a constant electromagnetic field by applying the noncommutativity on the scalar field up to first-order in [Formula: see text]. We calculate the density of particles created in the vacuum by the mean of the Bogoliubov transformations. In contrast to a previous result, we show that noncommutativity contributes to the pair creation process. We find that the noncommutativity plays the same role of chemical potential and gives an important interest for studies at high energies.

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