Modular invariance and thermal effective field theory in CFT
Abstract We use thermal effective field theory to derive that the coefficient of the first subleading piece of the thermal free energy, c 1, is equal to the coefficient of the subleading piece of the Casimir energy on S 1 × S d−2 for d ≥ 4. We conjecture that this coefficient obeys a sign constraint...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)200 |
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| author | Kuroush Allameh Edgar Shaghoulian |
| author_facet | Kuroush Allameh Edgar Shaghoulian |
| author_sort | Kuroush Allameh |
| collection | DOAJ |
| description | Abstract We use thermal effective field theory to derive that the coefficient of the first subleading piece of the thermal free energy, c 1, is equal to the coefficient of the subleading piece of the Casimir energy on S 1 × S d−2 for d ≥ 4. We conjecture that this coefficient obeys a sign constraint c 1 ≥ 0 in CFT and collect some evidence for this bound. We discuss various applications of the thermal effective field theory, including placing the CFT on different spatial backgrounds and turning on chemical potentials for U(1) charge and angular momentum. Along the way, we derive the high-temperature partition function on a sphere with arbitrary angular velocities using only time dilation and length contraction. |
| format | Article |
| id | doaj-art-52221951c6514a549495bfb3b4e5b62d |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-52221951c6514a549495bfb3b4e5b62d2025-02-09T12:07:08ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112510.1007/JHEP01(2025)200Modular invariance and thermal effective field theory in CFTKuroush Allameh0Edgar Shaghoulian1Physics Department, UC Santa CruzPhysics Department, UC Santa CruzAbstract We use thermal effective field theory to derive that the coefficient of the first subleading piece of the thermal free energy, c 1, is equal to the coefficient of the subleading piece of the Casimir energy on S 1 × S d−2 for d ≥ 4. We conjecture that this coefficient obeys a sign constraint c 1 ≥ 0 in CFT and collect some evidence for this bound. We discuss various applications of the thermal effective field theory, including placing the CFT on different spatial backgrounds and turning on chemical potentials for U(1) charge and angular momentum. Along the way, we derive the high-temperature partition function on a sphere with arbitrary angular velocities using only time dilation and length contraction.https://doi.org/10.1007/JHEP01(2025)200Conformal and W SymmetryEffective Field TheoriesThermal Field TheoryAdS-CFT Correspondence |
| spellingShingle | Kuroush Allameh Edgar Shaghoulian Modular invariance and thermal effective field theory in CFT Journal of High Energy Physics Conformal and W Symmetry Effective Field Theories Thermal Field Theory AdS-CFT Correspondence |
| title | Modular invariance and thermal effective field theory in CFT |
| title_full | Modular invariance and thermal effective field theory in CFT |
| title_fullStr | Modular invariance and thermal effective field theory in CFT |
| title_full_unstemmed | Modular invariance and thermal effective field theory in CFT |
| title_short | Modular invariance and thermal effective field theory in CFT |
| title_sort | modular invariance and thermal effective field theory in cft |
| topic | Conformal and W Symmetry Effective Field Theories Thermal Field Theory AdS-CFT Correspondence |
| url | https://doi.org/10.1007/JHEP01(2025)200 |
| work_keys_str_mv | AT kuroushallameh modularinvarianceandthermaleffectivefieldtheoryincft AT edgarshaghoulian modularinvarianceandthermaleffectivefieldtheoryincft |