Supercharge

In theoretical physics, a supercharge is a generator of supersymmetry transformations. It is an example of the general notion of a charge in physics.

Supercharge, denoted by the symbol Q, is an operator which transforms bosons into fermions, and vice versa. Since the supercharge operator changes a particle with spin one-half to a particle with spin one or zero, the supercharge itself is a spinor that carries one half unit of spin.^[1]^[2]

Depending on the context, supercharges may also be called Grassmann variables or Grassmann directions; they are generators of the exterior algebra of anti-commuting numbers, the Grassmann numbers. All these various usages are essentially synonymous; they refer to the $\mathbb {Z} _{2}$ grading between bosons and fermions, or equivalently, the grading between c-numbers and a-numbers. Calling it a charge emphasizes the notion of a symmetry at work.

Commutation

Supercharge is described by the super-Poincaré algebra.

Supercharge commutes with the Hamiltonian operator:

[ Q , H ] = 0

So does its adjoint.

References

^ "Supersymmetry to the rescue?". The Official String Theory Web Site. Archived from the original on 2018-11-02.
^ von Hippel, Matthew. "Supersymmetry, to the Rescue!". 4 Gravitons The trials and tribulations of four gravitons and a postdoc. Retrieved 18 April 2021.

This quantum mechanics-related article is a stub. You can help Wikipedia by expanding it.

Read other articles:

Leeward Passage

Channel in the United States Virgin Islands Leeward PassageGreat and Little Hans Lollik Islands with St. Thomas visible in the background beyond Leeward Passage.Leeward PassageShow map of the U.S. Virgin IslandsLeeward PassageShow map of Lesser AntillesLeeward PassageShow map of CaribbeanCoordinates18°22′23″N 64°53′59″W / 18.37306°N 64.89972°W / 18.37306; -64.89972Basin countriesUnited States Virgin Islands The Leeward Passage is a channel between Hans...

Hari Orang Muda Sedunia 2011

Hari Orang Muda Sedunia XXVI Hari Orang Muda Sedunia XXVI Hendaklah kamu berakar di dalam Dia dan dibangun di atas Dia (Kol. 2:7) Lokasi Madrid, Spanyol Tanggal 16-21 Agustus 2011 Hari Orang Muda Sedunia 2011 adalah kegiatan umat Katolik yang akan diadakan dalam enam hari mulai 16 sampai 21 Agustus 2011 di Madrid, Spanyol khusus untuk kaum muda.[1] Kegiatan ini akan memakan biaya sekitar €50 juta, separuh dibiayai dengan pajak (pada skala nasional, regional dan lokal) dan separuh d...

Eeklo

EekloMunicipalityPusat kota Eeklo BenderaLambang kebesaranLocation of Eeklo EekloLokasi di Belgia Letak Eeklo di Flandria Timur Koordinat: 51°11′N 03°33′E / 51.183°N 3.550°E / 51.183; 3.550Koordinat: 51°11′N 03°33′E / 51.183°N 3.550°E / 51.183; 3.550Negara BelgiaMasyarakatMasyarakat FlandriaDaerahDaerah FlandriaProvinsiFlandria TimurArrondissementEekloPemerintahan • Wali KotaKoen Loete (CD&V) • Pa...

St. James Park (San Jose)

Park in San Jose, California St. James ParkView west towards the old Santa Clara County Courthouse along N 1st St from St. James Park.Coordinates37°20′20″N 121°53′28″W / 37.338949°N 121.891203°W / 37.338949; -121.891203Area6.8 acres (2.8 ha)Created1800sOperated byDepartment of Parks, Recreation & Neighborhood Services, City of San JoseOpendaily, sunrise – sunsetPublic transit access Saint JamesWebsitewww.sanjoseca.gov/Home/Components/Facilit...

Oklahoma earthquake swarms (2009–present)

Series of earthquakes in central Oklahoma, southern Kansas, and northern Texas This article is about earthquakes in Oklahoma and vicinity since 2009. For other earthquakes, see List of earthquakes in Oklahoma. Parts of this article (those related to earthquakes from 2017–present) need to be updated. Please help update this article to reflect recent events or newly available information. (July 2020) Oklahoma area earthquake swarmsSeismicity map of Oklahoma and vicinityTime2009–presentDurat...

Lira Turki

Konten dan perspektif penulisan artikel ini tidak menggambarkan wawasan global pada subjeknya. Silakan bantu mengembangkan atau bicarakan artikel ini di halaman pembicaraannya, atau buat artikel baru, bila perlu. (Pelajari cara dan kapan saatnya untuk menghapus pesan templat ini)Lira TurkiTürkiye lirası (Turki)Lira Turki baruISO 4217KodeTRYNomor949DenominasiSubsatuan 1/100kuruşSimbol₺ kuruşkrUang kertas Sering digunakan₺5, ₺10, ₺20, ₺50, ₺100, ₺200Uang koin...

Canine parvovirus

Contagious virus mainly affecting dogs This article is about canine parvovirus type 2. For canine parvovirus type 1, see Carnivore bocaparvovirus 1. Canine parvovirus Electron micrograph of canine parvovirus Virus classification (unranked): Virus Realm: Monodnaviria Kingdom: Shotokuvirae Phylum: Cossaviricota Class: Quintoviricetes Order: Piccovirales Family: Parvoviridae Genus: Protoparvovirus Species: Carnivore protoparvovirus 1 Virus: Canine parvovirus Canine parvovirus (also referred to a...

Allegheny National Forest

National forest in Pennsylvania, United States Allegheny National ForestMead Run in the Allegheny National ForestLocationWarren, McKean, Forest, and Elk counties, Pennsylvania, USANearest cityWarren, PACoordinates41°39′11″N 79°2′5″W / 41.65306°N 79.03472°W / 41.65306; -79.03472Area513,175 acres (2,076.75 km2)[1]EstablishedSeptember 24, 1923[2]Governing bodyU.S. Forest ServiceWebsiteAllegheny National Forest The Allegheny Natio...

Abraham Lincoln Association

Abraham Lincoln AssociationFormation1908 (as the Lincoln Centennial Association)Typenonprofit, member-supportedHeadquartersSpringfield, Illinois, USAPresidentMichael BurlingameMain organBoard of DirectorsWebsiteabrahamlincolnassociation.org The Abraham Lincoln Association (ALA) is an American association advancing studies on Abraham Lincoln and disseminating scholarship about Lincoln.[1] The ALA was founded in 1908 to lead a national celebration of Lincoln's 100th birthday and continu...

Vorobyovy Gory (Metro Moskwa)

Vorobyovy GoryStasiun Metro MoskwaLokasiRussiaPemilikMoskovsky MetropolitenJalur!C 1 Jalur Sokolnicheskaya Jumlah peron1 peron pulauJumlah jalur2KonstruksiTinggi peron1ParkirTidak adaFasilitas sepedaTidak adaInformasi lainKode stasiun016SejarahDibuka1 Desember 1959; 64 tahun lalu (1959-12-01)Dibangun kembali20 Oktober 1983; 40 tahun lalu (1983-10-20) to 14 Desember 2002; 21 tahun lalu (2002-12-14)Nama sebelumnyaLeninskye GoryOperasi layanan Stasiun sebelum...

莎拉·阿什頓-西里洛

莎拉·阿什頓-西里洛2023年8月，阿什頓-西里洛穿著軍服出生 (1977-07-09) 1977年7月9日（46歲）美國佛羅里達州国籍美國别名莎拉·阿什頓（Sarah Ashton）莎拉·西里洛（Sarah Cirillo）金髮女郎（Blonde）职业記者、活動家、政治活動家和候選人、軍醫活跃时期2020年—雇主內華達州共和黨候選人（2020年）《Political.tips》（2020年—）《LGBTQ國度》（2022年3月—2022年10月）烏克蘭媒�...

Oriental Orthodoxy in Egypt

Religion in Egypt Religions in Egypt Islam Sunni Shia Christianity Coptic Orthodoxy Greek Orthodoxy Catholicism Protestantism Judaism Religious institutions Al-Azhar University Dar al-Ifta al-Misriyyah Coptic Orthodox Church Religious Organizations Al-Azhar Salafist Call Muslim Brotherhood al-Jama'a al-Islamiyya Catechetical School of Alexandria General Congregation Council Unrecognized religions & denominations Ahmadiyya Baháʼí Faith Hinduism Other topics Irreligion in Egypt Secularis...

龍澤寺 (西予市)

龍澤寺本堂所在地愛媛県西予市城川町魚成753山号禹門山（うもんざん）宗派曹洞宗總持寺派本尊釈迦牟尼如来創建年 1323年開山徳翁正呈禅師[1]中興年 1433年中興仲翁守邦禅師札所等新四国曼荼羅霊場51番札所公式サイト https://ryutaku-ji.jp/法人番号 2500005003193 テンプレートを表示龍澤寺（りゅうたくじ）は、愛媛県西予市にある寺院である。曹洞宗總持寺派に属�...

BMW Seri 8

BMW Seri 8InformasiMasa produksi1990–19992018–SekarangBodi & rangkaKelasGrand tourer (S)Bentuk kerangka2-pintu coupé2-pintu konvertibel4-pintucoupéTata letakPenggerak roda belakangpenggerak seluruh roda (xDrive) BMW Seri 8 adalah rangkaian grand tourer coupe dan konvertibel yang diproduksi oleh BMW. Seri 8 diperkenalkan pada tahun 1990 di bawah kode model E31 dan hanya tersedia sebagai coupé dua pintu.[1] Mobil ini didukung oleh berbagai mesin bensin V8 dan V12.[2&...

وزارة الخارجية (السودان)

لمعانٍ أخرى، طالع وزارة الخارجية (توضيح). جمهورية السودانوزارة الخارجية وزارة الخارجية (السودان) تفاصيل الوكالة الحكومية البلد السودان الاسم الكامل وزارة الخارجية تأسست يناير 1956 المركز الخرطوم، السودان الإدارة منصب المدير وزير الخارجية [لغات أخرى]&...

Automatic content recognition

Identification technology This article has multiple issues. Please help improve it or discuss these issues on the talk page. (Learn how and when to remove these template messages) This article appears to contain a large number of buzzwords. There might be a discussion about this on the talk page. Please help improve this article if you can. (June 2015) This article relies excessively on references to primary sources. Please improve this article by adding secondary or tertiary sources. Find so...

بيتم أب

بيتم أب (بالإنجليزية:Beat 'em up وتعني «أبرحهم ضرباً») عنوان اللعبة زينو كلاش من ضمن لعبة بيتم آب. هدف اللعبة ألعاب البيتم أب تركز على مقاتلة اللاعب للعديد من الأعداء من خلال اللكم أو الركل، أو باستخدام السيوف كما في ألعاب الهاك آند سلاش (بالإنجليزية: Hack & Slash) في العديد من المرا�...

Young Ideas

1943 film For the silent film, see Young Ideas (1924 film). Young IdeasFilm posterDirected byJules DassinWritten byIan McLellan HunterBill NobleProduced byRobert SiskStarringSusan PetersHerbert MarshallMary AstorCinematographyCharles Lawton Jr.Edited byRalph E. WintersDistributed byMGMRelease date August 2, 1943 (1943-08-02) Running time77 minutesCountryUnited StatesLanguageEnglish Young Ideas is a 1943 American romantic comedy film directed by Jules Dassin and starring Susan P...

Georg Henrik von Wright

Finnish philosopher (1916–2003) Georg Henrik von Wrightvon Wright in 1972Born14 June 1916Helsinki, Grand Duchy of FinlandDied16 June 2003(2003-06-16) (aged 87)Helsinki, FinlandEducationUniversity of Helsinki(1934–1937, 1939–1941;PhD, 1941)University of Cambridge(graduate student, 1939)Era20th-century philosophyRegionWestern philosophySchoolAnalytic philosophyInstitutionsUniversity of CambridgeUniversity of HelsinkiCornell UniversityAcademic advisorsEino KailaDoctoral studentsJaakko...

Decision tree learning

Machine learning algorithm This article is about decision trees in machine learning. For the use of the term in decision analysis, see Decision tree. Part of a series onMachine learningand data mining Paradigms Supervised learning Unsupervised learning Semi-supervised learning Self-supervised learning Reinforcement learning Meta-learning Online learning Batch learning Curriculum learning Rule-based learning Neuro-symbolic AI Neuromorphic engineering Quantum machine learning Problems Classific...

PROFILPELAJAR.COM