Published July 1, 2017 | Version v1
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N = 2 $$ \mathcal{N}=2 $$ Chern-Simons-matter theories without vortices

Creators

  • 1. Institució Catalana de Recerca i Estudis Avançats
  • 2. Instituto de Física La Plata
  • 3. Consejo Nacional de Investigaciones Científicas y Técnicas

Description

We study $$ \mathcal{N}=2 $$ Chern-Simons-matter theories with gauge group $$ {U}_{k_1}(1)\times {U}_{k2}(1) $$ . We find that, when k 1 + k 2 = 0, the partition function computed by localization dramatically simplifies and collapses to a single term. We show that the same condition prevents the theory from having supersymmetric vortex configurations. The theories include mass-deformed ABJM theory with U(1) k × U −k (1) gauge group as a particular case. Similar features are shared by a class of CS-matter theories with gauge group $$ {U_k}_{{}_1}(1)\times \cdots \times {U}_{k_N}(1) $$ .

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

ندرس نظريات $$\ mathcal{N }=2 $$ Chern - Simons - matter مع مجموعة القياس ${ U }_{ k _1 }( 1)\times {U }_{ k2}( 1 )$$ . نجد أنه عندما k 1 + k 2 = 0، فإن دالة التقسيم المحسوبة عن طريق التوطين تبسط بشكل كبير وتنهار إلى حد واحد. نظهر أن نفس الحالة تمنع النظرية من الحصول على تكوينات دوامة فائقة التناظر. تتضمن النظريات نظرية ABJM مشوهة الكتلة مع مجموعة قياس U(1) k × U -k (1) كحالة معينة. تتم مشاركة ميزات مماثلة من قبل فئة من نظريات CS - matter مع مجموعة القياس ${ U_k }_{{}_1}( 1)\times \cdots \times {U }_{ k_N }( 1 )$$ .

Translated Description (French)

Nous étudions les théories $$ \mathcal{N}=2 $$ Chern-Simons-matter avec le groupe de jauges $$ {U}_{k_1}(1)\times {U}_{k2}(1) $$ . Nous constatons que, lorsque k 1 + k 2 = 0, la fonction de partition calculée par localisation simplifie considérablement et s'effondre en un seul terme. Nous montrons que la même condition empêche la théorie d'avoir des configurations de vortex supersymétriques. Les théories comprennent la théorie ABJM déformée en masse avec le groupe de jauge U(1) k × U −k (1) comme cas particulier. Des caractéristiques similaires sont partagées par une classe de théories CS-matter avec le groupe de jauges $$ {U_k}_{{}_1}(1)\times \cdots \times {U}_{k_N}(1) $$ .

Translated Description (Spanish)

Estudiamos $$ \mathcal{N}=2 $$ teorías de materia de Chern-Simons con el grupo de indicadores $$ {U}_{k_1}(1)\times {U}_{k2}(1) $$ . Encontramos que, cuando k 1 + k 2 = 0, la función de partición calculada por localización se simplifica drásticamente y se colapsa en un solo término. Mostramos que la misma condición evita que la teoría tenga configuraciones de vórtices supersimétricos. Las teorías incluyen la teoría ABJM deformada por masa con el grupo de calibre U(1) k × U −k (1) como caso particular. Una clase de teorías de CS-materia comparte características similares con el grupo de indicadores $$ {U_k}_{{}_1}(1)\times \cdots \times {U}_{k_N}(1) $$ .

Files

10.1007%2FJHEP07%282017%29062.pdf.pdf

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Additional details

Additional titles

Translated title (Arabic)
N = 2 $$\ mathcal{N}=2 $$ نظريات Chern - Simons - matter بدون دوامات
Translated title (French)
N = 2 $$ \mathcal{N}=2 $$ Théories de la matière de Chern-Simons sans tourbillons
Translated title (Spanish)
N = 2 $$ \mathcal{N}=2 $$ Teorías de materia de Chern-Simons sin vórtices

Identifiers

Other
https://openalex.org/W2606876831
DOI
10.1007/jhep07(2017)062

Is supplement to
https://openalex.org/W4394670020 (Other)
https://openalex.org/W4365211448 (Other)
https://openalex.org/W3201975321 (Other)
https://openalex.org/W3157610188 (Other)
https://openalex.org/W2988537909 (Other)
https://openalex.org/W2906727551 (Other)
https://openalex.org/W2092192837 (Other)
https://openalex.org/W2037611704 (Other)
https://openalex.org/W2026480334 (Other)
https://openalex.org/W1999664853 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Argentina

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