Gravitational couplings in N $$ \mathcal{N} $$ = 2 heterotic compactifications with Wilson lines
Abstract In this paper we compute the gravitational couplings of the heterotic string compactified on (K3 × T 2)/ℤ N and E 8 × E 8 and predict the Gopakumar Vafa invariants of the dual Calabi Yau manifold in presence of Wilson lines. Here ℤ N acts as an automorphism on K3 associated with the conjuga...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP07(2020)185 |
| _version_ | 1828869599255330816 |
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| author | Aradhita Chattopadhyaya |
| author_facet | Aradhita Chattopadhyaya |
| author_sort | Aradhita Chattopadhyaya |
| collection | DOAJ |
| description | Abstract In this paper we compute the gravitational couplings of the heterotic string compactified on (K3 × T 2)/ℤ N and E 8 × E 8 and predict the Gopakumar Vafa invariants of the dual Calabi Yau manifold in presence of Wilson lines. Here ℤ N acts as an automorphism on K3 associated with the conjugacy classes of M 23 and a shift of 1/N on one of the S 1 of T 2. We study in detail the cases N = 2, 3 for standard and several non-standard embeddings where K3 is realized as toroidal orbifolds T 4 /ℤ4 and T 4 /ℤ3. From these computations we extract the polynomial term in perturbative pre-potential for these orbifold models in presence of a single Wilson line. We also show for standard embeddings the integrality of the Gopakumar Vafa invariants depend on the integrality of Fourier coefficients of Fourier transform of the twisted elliptic genus of K3 in presence of n < 8 Wilson lines. |
| first_indexed | 2024-12-13T05:53:38Z |
| format | Article |
| id | doaj.art-0b33d244ad9645dc91a728762892b4fa |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T05:53:38Z |
| publishDate | 2020-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-0b33d244ad9645dc91a728762892b4fa2022-12-21T23:57:28ZengSpringerOpenJournal of High Energy Physics1029-84792020-07-012020713510.1007/JHEP07(2020)185Gravitational couplings in N $$ \mathcal{N} $$ = 2 heterotic compactifications with Wilson linesAradhita Chattopadhyaya0School of Mathematics, Trinity College DublinAbstract In this paper we compute the gravitational couplings of the heterotic string compactified on (K3 × T 2)/ℤ N and E 8 × E 8 and predict the Gopakumar Vafa invariants of the dual Calabi Yau manifold in presence of Wilson lines. Here ℤ N acts as an automorphism on K3 associated with the conjugacy classes of M 23 and a shift of 1/N on one of the S 1 of T 2. We study in detail the cases N = 2, 3 for standard and several non-standard embeddings where K3 is realized as toroidal orbifolds T 4 /ℤ4 and T 4 /ℤ3. From these computations we extract the polynomial term in perturbative pre-potential for these orbifold models in presence of a single Wilson line. We also show for standard embeddings the integrality of the Gopakumar Vafa invariants depend on the integrality of Fourier coefficients of Fourier transform of the twisted elliptic genus of K3 in presence of n < 8 Wilson lines.http://link.springer.com/article/10.1007/JHEP07(2020)185Superstrings and Heterotic StringsString DualitySuperstring Vacua |
| spellingShingle | Aradhita Chattopadhyaya Gravitational couplings in N $$ \mathcal{N} $$ = 2 heterotic compactifications with Wilson lines Journal of High Energy Physics Superstrings and Heterotic Strings String Duality Superstring Vacua |
| title | Gravitational couplings in N $$ \mathcal{N} $$ = 2 heterotic compactifications with Wilson lines |
| title_full | Gravitational couplings in N $$ \mathcal{N} $$ = 2 heterotic compactifications with Wilson lines |
| title_fullStr | Gravitational couplings in N $$ \mathcal{N} $$ = 2 heterotic compactifications with Wilson lines |
| title_full_unstemmed | Gravitational couplings in N $$ \mathcal{N} $$ = 2 heterotic compactifications with Wilson lines |
| title_short | Gravitational couplings in N $$ \mathcal{N} $$ = 2 heterotic compactifications with Wilson lines |
| title_sort | gravitational couplings in n mathcal n 2 heterotic compactifications with wilson lines |
| topic | Superstrings and Heterotic Strings String Duality Superstring Vacua |
| url | http://link.springer.com/article/10.1007/JHEP07(2020)185 |
| work_keys_str_mv | AT aradhitachattopadhyaya gravitationalcouplingsinnmathcaln2heteroticcompactificationswithwilsonlines |