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• W3199252228 abstract "A bstract We calculate the $$ mathcal{S} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>S</mml:mi> </mml:math> -multiplets for two-dimensional Euclidean $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = (0 , 2) and $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = (2 , 2) superconformal field theories under the T $$ overline{T} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mover> <mml:mi>T</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> deformation at leading order of perturbation theory in the deformation coupling. Then, from these $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = (0 , 2) deformed multiplets, we calculate two- and three-point correlators. We show the $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = (0 , 2) chiral ring’s elements do not flow under the T $$ overline{T} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mover> <mml:mi>T</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> deformation. Specializing to integrable supersymmetric seed theories, such as $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = (2 , 2) Landau-Ginzburg models, we use the thermodynamic Bethe ansatz to study the S-matrices and ground state energies. From both an S-matrix perspective and Melzer’s folding prescription, we show that the deformed ground state energy obeys the inviscid Burgers’ equation. Finally, we show that several indices independent of D -term perturbations including the Witten index, Cecotti-Fendley-Intriligator-Vafa index and elliptic genus do not flow under the T $$ overline{T} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mover> <mml:mi>T</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> deformation." @default.
• W3199252228 created "2021-09-27" @default.
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• W3199252228 date "2021-09-01" @default.
• W3199252228 modified "2023-09-29" @default.
• W3199252228 title "T $$ overline{T} $$ deformation in SCFTs and integrable supersymmetric theories" @default.
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• W3199252228 doi "https://doi.org/10.1007/jhep09(2021)082" @default.
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