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<p>Aspects of superstring theory on black-strings backgrounds, corresponding to deformed BTZ black holes, formed near <i>k NS</i>5 branes by <i>p</i> fundamental strings, and single-trace <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <mi>T</mi> <mover accent="true"> <mi>T</mi> <mo stretchy="true">¯</mo> </mover> <mo>+</mo> <mi>J</mi> <mover accent="true"> <mi>T</mi> <mo stretchy="true">¯</mo> </mover> <mo>+</mo> <mi>T</mi> <mover accent="true"> <mi>J</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( T\overline{T}+J\overline{T}+T\overline{J} \)</EquationSource> </InlineEquation> holography, are presented. It is shown that for a particular asymptotic value of the <i>B</i>-field, the excitation energy of a long string plus its contribution to the energy of the black hole is that in <InlineEquation ID="IEq3"> <EquationSource Format="MATHML"><math display="inline"> <mi>T</mi> <mover accent="true"> <mi>T</mi> <mo stretchy="true">¯</mo> </mover> <mo>+</mo> <mi>J</mi> <mover accent="true"> <mi>T</mi> <mo stretchy="true">¯</mo> </mover> <mo>+</mo> <mi>T</mi> <mover accent="true"> <mi>J</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( T\overline{T}+J\overline{T}+T\overline{J} \)</EquationSource> </InlineEquation> deformed <i>CFT</i><sub>2</sub> with <i>c</i> = 6<i>k</i>. The excitation energy of a winding <i>w &gt;</i> 1 long string plus its contribution to the background, a <i>w/p</i> fraction of the black-hole energy, evolves according to that in a <i>Z</i><sub><i>w</i></sub> twisted sector of a <i>p</i>-fold symmetric product of the latter.</p>

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On string theory on deformed BTZ and \( T\overline{T}+J\overline{T}+T\overline{J} \)

  • 期刊论文

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  • 发表日期：

    2026年2月16日

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  • Amit Giveon,
  • Daniel Vainshtein

摘要

Aspects of superstring theory on black-strings backgrounds, corresponding to deformed BTZ black holes, formed near k NS5 branes by p fundamental strings, and single-trace T T ¯ + J T ¯ + T J ¯ \( T\overline{T}+J\overline{T}+T\overline{J} \) holography, are presented. It is shown that for a particular asymptotic value of the B-field, the excitation energy of a long string plus its contribution to the energy of the black hole is that in T T ¯ + J T ¯ + T J ¯ \( T\overline{T}+J\overline{T}+T\overline{J} \) deformed CFT2 with c = 6k. The excitation energy of a winding w > 1 long string plus its contribution to the background, a w/p fraction of the black-hole energy, evolves according to that in a Zw twisted sector of a p-fold symmetric product of the latter.