Spectrum of Excitations of D3-Branes
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| Publicado en: | PQDT - Global (2025) |
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ProQuest Dissertations & Theses
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| Acceso en línea: | Citation/Abstract Full Text - PDF Full text outside of ProQuest |
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| 045 | 2 | |b d20250101 |b d20251231 | |
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| 100 | 1 | |a Palma, Ignacio Alfonso Cruz | |
| 245 | 1 | |a Spectrum of Excitations of D3-Branes | |
| 260 | |b ProQuest Dissertations & Theses |c 2025 | ||
| 513 | |a Dissertation/Thesis | ||
| 520 | 3 | |a In this thesis, we study the spectrum of excitations of D3-branes with worldvolume flux in AdS5xS5. We present a closed-form expression for the second-order action of the D3-brane in the bosonic sector, constructed using methods of differential geometry of embedded manifolds. The quadratic action is formulated by introducing a basis adapted to curved backgrounds, which allows us to decompose fluctuations into parallel and normal components with respect to the worldvolume. Motivated by the AdS/CFT correspondence, we compute the spectrum of excitations of three distinct D3-brane configurations. The first two correspond to 1/2- and 1/4-BPS spherical D3-branes without worldvolume flux i.e. giant graviton. The 1/2-BPS case is known to be dual to the 1/2-BPS superconformal index in N=4 Super Yang–Mills. For the 1/4-BPS case, we analyze the spectrum with the motivation of extending this duality prescription to the 1/4-BPS index, although a precise matching remains an open problem. For these configurations, the normal fluctuations in S5 reduce to a Landau model, and we identify the conserved charges associated with the system. The third case is the $D3$-brane configuration with worldvolume flux dual to the 1/4-BPS latitude Wilson loop in N=4 SYM in the k-symmetric representation of the gauge group SU(N). For this configuration, we find a complicated quadratic action that contains a non-trivial normal connection and a coupling between the scalar and vectorial fluctuation fields. | |
| 653 | |a Spacetime | ||
| 653 | |a Quantum physics | ||
| 653 | |a Quantum field theory | ||
| 653 | |a String theory | ||
| 653 | |a Gravity | ||
| 653 | |a Hilbert space | ||
| 653 | |a Geometry | ||
| 653 | |a Symmetry | ||
| 653 | |a Mathematics | ||
| 653 | |a Theoretical physics | ||
| 773 | 0 | |t PQDT - Global |g (2025) | |
| 786 | 0 | |d ProQuest |t ProQuest Dissertations & Theses Global | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3283374299/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3283374299/fulltextPDF/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full text outside of ProQuest |u https://repositorio.uc.cl/handle/11534/105749 |