Unimodular jordanian deformations of integrable superstrings
Unimodular jordanian deformations of integrable superstrings
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可积超弦的幺模约旦变形
作者:
S. J. Tongeren
<jats:p>We find new homogeneous <jats:inline-formula><jats:alternatives><jats:tex-math>r</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>r</mml:mi></mml:math></jats:alternatives></jats:inline-formula>
matrices containing supercharges, and use them to find new backgrounds
of Yang-Baxter deformed superstrings. We obtain these as limits of
unimodular inhomogeneous <jats:inline-formula><jats:alternatives><jats:tex-math>r</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>r</mml:mi></mml:math></jats:alternatives></jats:inline-formula>
matrices and associated deformations of
AdS<jats:inline-formula><jats:alternatives><jats:tex-math>_2 imes</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi /><mml:mn>2</mml:mn></mml:msub><mml:mo>×</mml:mo></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>S<jats:inline-formula><jats:alternatives><jats:tex-math>^2 imes</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mi /><mml:mn>2</mml:mn></mml:msup><mml:mo>×</mml:mo></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>T<jats:inline-formula><jats:alternatives><jats:tex-math>^6</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi /><mml:mn>6</mml:mn></mml:msup></mml:math></jats:alternatives></jats:inline-formula>
and AdS<jats:inline-formula><jats:alternatives><jats:tex-math>_5 imes</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi /><mml:mn>5</mml:mn></mml:msub><mml:mo>×</mml:mo></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>S<jats:inline-formula><jats:alternatives><jats:tex-math>^5</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi /><mml:mn>5</mml:mn></mml:msup></mml:math></jats:alternatives></jats:inline-formula>.
Our <jats:inline-formula><jats:alternatives><jats:tex-math>r</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>r</mml:mi></mml:math></jats:alternatives></jats:inline-formula>
matrices are jordanian, but also unimodular, and lead to solutions of
the regular supergravity equations of motion. In general our
deformations are equivalent to particular non-abelian T duality
transformations. Curiously, one of our backgrounds is also equivalent to
one produced by TsT transformations and an S duality transformation.</jats:p>
DOI:
10.1088/1751-8113/49/32/320301
发表时间:
2016
期刊:
Mathematical and Theoretical
影响因子:
--
作者:
Bombardelli D
通讯作者:
Bombardelli D
影响因子:
1.2
作者:
Beisert N
通讯作者:
Beisert N