T$ \overline{T} $ deformation in SCFTs and integrable supersymmetric theories

Ebert, Stephen; Sun, Hao-Yu; Sun, Zhengdi

doi:10.1007/jhep09(2021)082

Title: T$$ \overline{T} $$ deformation in SCFTs and integrable supersymmetric theories

Journal Article · 15 September 2021 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep09(2021)082 · OSTI ID:1851197

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Univ. of California, Los Angeles, CA (United States). Mani L. Bhaumik Institute for Theoretical Physics; Univ. of California, Los Angeles, CA (United States)
Univ. of California, Berkeley, CA (United States). Dept. of Physics. Center for Theoretical Physics; Univ. of Texas, Austin, TX (United States). Dept. of Physics
Univ. of California, San Diego, CA (United States). Dept. of Physics

We calculate the $ \mathcal{S} $-multiplets for two-dimensional Euclidean $ \mathcal{N} $ = (0, 2) and $ \mathcal{N} $ = (2, 2) superconformal field theories under the T$ \overline{T} $ deformation at leading order of perturbation theory in the deformation coupling. Then, from these $ \mathcal{N} $ = (0, 2) deformed multiplets, we calculate two- and three-point correlators. We show the $ \mathcal{N} $ = (0, 2) chiral ring’s elements do not flow under the T$ \overline{T} $ deformation. Specializing to integrable supersymmetric seed theories, such as $ \mathcal{N} $ = (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} $ deformation.

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Research Organization:: Univ. of California, San Diego, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC); Simons Foundatoin

Grant/Contract Number:: SC0009919

OSTI ID:: 1851197

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 9 Vol. 2021; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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Title: T$$ \overline{T} $$ deformation in SCFTs and integrable supersymmetric theories

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