Thermal one point functions in large $N$ vector models and holography / (Record no. 433920)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02330nam a22002897a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 250805b |||||||| |||| 00| 0 eng d |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.14 |
| Item number | SRI |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Kumar, Srijan |
| 245 ## - TITLE STATEMENT | |
| Title | Thermal one point functions in large $N$ vector models and holography / |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Bangalore : |
| Name of publisher, distributor, etc | Indian Institute of Science, |
| Date of publication, distribution, etc | 2025. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xii, 246 P. : |
| Other physical details | col. ill. ; |
| Accompanying material | e-Thesis |
| Size of unit | 2.774 Mb |
| 500 ## - GENERAL NOTE | |
| General note | Includes bibliographical references |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | PhD;2025;CHEP |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This thesis develops analytic methods to evaluate thermal one point functions in holography and a class of conformal field theories(CFT) described by large $N$ vector models. For planar charged black holes in $AdS_{d+1}$ we find a suitable large $d$ limit where thermal one point functions can be evaluated exactly. We show that for operators with large scaling dimensions, these 1-point functions probe the geometry interior to the horizon, including the geometry inside the inner horizon. We then study one point functions of higher spin currents in large $N$ vector models on $S^1 \times R^{d−1}$, with $d$ being odd, and demonstrate they exhibit universal features. We show that these 1-point functions at the non-trivial fixed point of the theory tend to its Stefan-Boltzmann value at large spin. At large $d$, 1-point functions at the non-trivial fixed point decay exponentially compared to its Stefan-Boltzmann value. Considering the critical $O(N)$ model on $S^1 \times S2$, we evaluate the finite size corrections to the partition function, stress tensor and the two point function. We find these for the first time despite extensive study of this model in the literature. Applying the OPE inversion formula we show that the finite size corrections to higher spin currents at the non-trivial fixed point of the theory tend to that of the free theory at large spin. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Quantum field theories at finite temperature |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | AdS/CFT correspondance |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Scale and conformal symmetries |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Solvable models of quantum field theories |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Conformal field theories |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Black holes |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Spin |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Advised by David, Justin R |
| Relator term | Advisor |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://etd.iisc.ac.in/handle/2005/7022 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Thesis |
No items available.
