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# $$\boldsymbol {T\overline{T}}$$ , $$\boldsymbol {J\overline{T}}$$ , $$\boldsymbol{T\overline{J}}$$ and string theory

## Abstract

We calculate the spectrum of a two dimensional CFT on a cylinder, perturbed by a generallinear combination of $${T\overline{T}}$$,$$ {J\overline{T}}$$ and $${T\overline{J}}$$, by utilizing the relation of this problem to certainsolvable single trace current-current deformations of theworldsheet theory of strings on AdS _{3}. We show that this spectrum is well behaved (i.e.the energies are real) if and onlyif the dual bulk geometry is well behaved (i.e.the signature of the bulk spacetime is (1,2)and there are no closed timelike curves). Here, we also comment on the relations of string theory on AdS _{3} and its deformations to symmetric product CFT’s, matrix string theory, and a black hole description of highly excited fundamental strings.

- Authors:

- Hebrew Univ. of Jerusalem (Israel). Racah Inst. of Physics
- Univ. of Chicago, IL (United States)

- Publication Date:

- Research Org.:
- Univ. of Chicago, IL (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); Israel Science Foundation

- OSTI Identifier:
- 1593907

- Grant/Contract Number:
- SC0009924; 2289/18

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of Physics. A, Mathematical and Theoretical

- Additional Journal Information:
- Journal Volume: 52; Journal Issue: 38; Journal ID: ISSN 1751-8113

- Publisher:
- IOP Publishing

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Chakraborty, Soumangsu, Giveon, Amit, and Kutasov, David. $\boldsymbol {T\overline{T}}$ , $\boldsymbol {J\overline{T}}$ , $\boldsymbol{T\overline{J}}$ and string theory. United States: N. p., 2019.
Web. doi:10.1088/1751-8121/ab3710.
```

```
Chakraborty, Soumangsu, Giveon, Amit, & Kutasov, David. $\boldsymbol {T\overline{T}}$ , $\boldsymbol {J\overline{T}}$ , $\boldsymbol{T\overline{J}}$ and string theory. United States. doi:10.1088/1751-8121/ab3710.
```

```
Chakraborty, Soumangsu, Giveon, Amit, and Kutasov, David. Mon .
"$\boldsymbol {T\overline{T}}$ , $\boldsymbol {J\overline{T}}$ , $\boldsymbol{T\overline{J}}$ and string theory". United States. doi:10.1088/1751-8121/ab3710.
```

```
@article{osti_1593907,
```

title = {$\boldsymbol {T\overline{T}}$ , $\boldsymbol {J\overline{T}}$ , $\boldsymbol{T\overline{J}}$ and string theory},

author = {Chakraborty, Soumangsu and Giveon, Amit and Kutasov, David},

abstractNote = {We calculate the spectrum of a two dimensional CFT on a cylinder, perturbed by a generallinear combination of ${T\overline{T}}$,$ {J\overline{T}}$ and ${T\overline{J}}$, by utilizing the relation of this problem to certainsolvable single trace current-current deformations of theworldsheet theory of strings on AdS3. We show that this spectrum is well behaved (i.e.the energies are real) if and onlyif the dual bulk geometry is well behaved (i.e.the signature of the bulk spacetime is (1,2)and there are no closed timelike curves). Here, we also comment on the relations of string theory on AdS3 and its deformations to symmetric product CFT’s, matrix string theory, and a black hole description of highly excited fundamental strings.},

doi = {10.1088/1751-8121/ab3710},

journal = {Journal of Physics. A, Mathematical and Theoretical},

number = 38,

volume = 52,

place = {United States},

year = {2019},

month = {8}

}

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