A global symmetry is a symmetry that holds at all points in the spacetime under consideration, as opposed to a local symmetry which varies from point to point.

Global symmetries require conservation laws, but not forces, in physics.

An example of a global symmetry is the action of the Failed to parse (Missing texvc executable; please see math/README to configure.): U(1)=e^{iq\theta}

Under this transformation the wavefunction changes as Failed to parse (Missing texvc executable; please see math/README to configure.): \psi\rightarrow e^{iq\theta}\psi

Chazwick Bundick better known by his stage name Toro Y Moi, is an American recording artist and producer. His music has taken on many forms since he began recording, but he is often identified with the chillwave movement of summer 2010. As of 2011, his sound has struck out toward progressive rock, especially in a live setting.

The name "Toro y Moi" is half Spanish and half French, and means "the bull and me".

Bundick was born on 7 November 1986, in Columbia, South Carolina, and attended Ridge View High School where he formed well-known Columbia indie rock band The Heist and the Accomplice with three schoolmates. He is of Filipino descent from his mother and African-American descent from his father.

Bundick graduated from the University of South Carolina in spring of 2009 with a bachelor's degree in graphic design. Late in his school career, Bundick formed a close musical relationship with fellow chillwave luminary Ernest Greene who plays under the name Washed Out.

He has since been signed to Carpark Records, on which he released his first full-length album Causers of This in January 2010.

Speedy J (born Jochem George Paap in 1969, Rotterdam ), is a Dutch electronic music producer based in the city of Rotterdam. His breakthrough came with the release in 1992 of the minimal techno track Pullover. Subsequently his material became more mellow as he moved away from the hardcore sounds that were then becoming popular in Belgium and the Netherlands.

His debut album Ginger (1993) was released on Richie Hawtin's Plus 8 record label in the US, while in the UK it was part of Warp Records' Artificial Intelligence series of electronic listening music. A further, more introspective release, G-Spot followed in 1995; a live album, !ive, was also released. Afterwards his work, which included Public Energy No.1 (1997) and A Shocking Hobby (2000) became more experimental, importantly influencing the development of what is known as "IDM", or intelligent dance music.

"Upon first impressions, Public Energy No.1 highlights a big departure from previous Speedy J offerings... in a complete role reversal, it enters upon an iconoclastic electro territory more familiar to admirers of such other purveyors as Autechre, the Aphex Twin, Mike Paradinas and Martin Damm in his Steel persona," wrote Andrez Bergen in 1998 for Australian magazine Inpress.

Elena Jane Goulding (born 30 December 1986), known professionally as Ellie Goulding, is an English singer-songwriter. In 2010 she became the second artist to both top the BBC's annual Sound of... poll and win the Critics' Choice Award at the BRIT Awards in the same year, following Adele's win of both in 2008. After signing to Polydor Records in 2009, she released her first EP in 2009, An Introduction to Ellie Goulding, followed by her debut studio album Lights in 2010. Her album debuted at number one on the UK Albums Chart and has sold over 650,000 copies in the UK. "Lights" was released in America March 8th 2011, where the title track has been certified platinum by the RIAA (excess of 1 million units sold) .

Goulding is a soprano, and her musical style has been compared to that of Kate Nash, Meiko, Lykke Li and Tracey Thorn.

Goulding was born and brought up in a small town near Hereford, Herefordshire, the second of four children. She began playing the clarinet at the age of nine, and at 14 began learning guitar. She attended Lady Hawkins' School in Kington, where she won a main part in a school production, the Wizard Of Oz, as the scarecrow. She started songwriting at the age of 15 and while in college she won a singing competition.