Fleabag stars Phoebe Waller-Bridge and Andrew Scott are in the running for acting prizes at this year’s Olivier awards. The nominations, which were announced on Tuesday, include best actress for Waller-Bridge for reprising the role in her Fleabag monologue in a sold-out season in the West End and best actor for Scott for his performance as a washed-up matinee idol in Noël Coward’s Present Laughter at the Old Vic. Waller-Bridge received a second nomination for Fleabag, which will compete for the award for best entertainment or comedy play. Fleabag was nominated for an Olivier award in 2014 when it was staged at Soho theatre after an Edinburgh fringe run, years before it became a hit TV series.

The show leading this year’s Olivier nominations, with a tally of nine, is the bright and bold jukebox musical & Juliet, which features hit songs produced by the Swedish pop mastermind Max Martin and imagines an alternative ending to Shakespeare’s tragedy Romeo and Juliet. The musical received three acting nominations (for David Bedella, Cassidy Janson and Miriam-Teak Lee) as well as nominations for best new musical, best original score or new orchestrations, best theatre choreographer and best lighting, set and costume designs. & Juliet won six prizes at the WhatsOnStage awards on Sunday. For the Olivier award for best new musical it is up against an adaptation of the French film Amélie and two hit American shows, Waitress and Dear Evan Hansen.

The best actor in a musical category features two young performers in their West End debuts: Sam Tutty as the troubled teenager Evan Hansen and Jac Yarrow in Joseph and the Amazing Technicolor Dreamcoat. Charlie Stemp is nominated for Mary Poppins and so is Andy Nyman for Fiddler on the Roof, which picked up eight nominations including one for Trevor Nunn as best director and one for Judy Kuhn as best actress in a musical. In that category, Kuhn and Miriam Teak-Lee are up against Audrey Brisson for Amélie and Zizi Strallen for Mary Poppins. Dear Evan Hansen has seven nominations in total, with four of its cast recognised in the best supporting role categories.

Rosmersholm is nominated for five Oliviers. Photograph: Johan Persson

Revivals of Arthur Miller’s Death of a Salesman and Henrik Ibsen’s Rosmersholm picked up five nominations each, including best actor for Wendell Pierce as Miller’s Willy Loman and best actress for Sharon D Clarke who plays his wife, Linda. Hayley Atwell (Rosmersholm) and Juliet Stevenson (The Doctor) are also nominated for best actress and Toby Jones (Uncle Vanya) and James McAvoy (Cyrano de Bergerac) are in the running for best actor.

The best director award – now given in honour of Sir Peter Hall after his name was omitted from the “in memoriam” segment in 2018 – is between Jamie Lloyd for Cyrano de Bergerac, Trevor Nunn for Fiddler on the Roof, Ian Rickson for Uncle Vanya, and Marianne Elliott and Miranda Cromwell who co-directed Death of a Salesman.

The best new play category features The Ocean at the End of the Lane, The Doctor and Leopoldstadt, which Tom Stoppard has said could be his final play, as well as A Very Expensive Poison – written by Lucy Prebble and based on the book by Guardian journalist Luke Harding. Prebble on Tuesday also won the Susan Smith Blackburn award for women writers.

In the technical categories, the brothers Ben and Max Ringham are nominated for their sound designs for both at the National Theatre and Cyrano de Bergerac at the Playhouse. For best set design, Rae Smith will see if her design for Rosmersholm will beat her set for Uncle Vanya, or if both will lose out to either Bob Crowley for Mary Poppins or Soutra Gilmour for & Juliet.

The awards ceremony is on 5 April at the Royal Albert Hall in London, and will be osted by Jason Manford.

The nominations in full

Best actor in a supporting role in a musical

David Bedella for & Juliet at Shaftesbury theatre

Stewart Clarke for Fiddler on the Roof at Playhouse theatre

Jack Loxton for Dear Evan Hansen at Noël Coward theatre

Rupert Young for Dear Evan Hansen at Noël Coward theatre

Best actress in a supporting role in a musical

Lucy Anderson for Dear Evan Hansen at Noël Coward theatre

Petula Clark for Mary Poppins at Prince Edward theatre

Cassidy Janson for & Juliet at Shaftesbury theatre

Lauren Ward for Dear Evan Hansen at Noël Coward theatre

Best original score or new orchestrations

& Juliet – New Orchestrations by Bill Sherman and Dominic Fallacaro at Shaftesbury theatre

Amélie the Musical – musical supervisor and arrangements by Barnaby Race at the Other Palace

Dear Evan Hansen – music and lyrics by Benj Pasek and Justin Paul, orchestration by Alex Lacamoire at Noël Coward theatre

Fiddler on the Roof – New Orchestrations by Jason Carr at Playhouse theatre

Waitress – music and lyrics by Sara Bareilles at Adelphi theatre

& Juliet at Shaftesbury theatre. Photograph: David M Benett/Getty Images

Best new dance production

La Fiesta by Israel Galván at Sadler’s Wells

Ingoma by Mthuthuzeli November for Ballet Black at Royal Opera House – Linbury theatre

Mám by Michael Keegan-Dolan for Teaċ Daṁsa at Sadler’s Wells

Vessel by Damien Jalet and Kohei Nawa at Sadler’s Wells

Outstanding achievement in dance

Sara Baras for her choreography and performance in Ballet Flamenco – Sombras at Sadler’s Wells

Anne Teresa De Keersmaeker for her performance in Mitten wir im Leben sind/Bach6Cellosuiten at Sadler’s Wells

Gisèle Vienne for choreography of Crowd, presented by Dance Umbrella at

Sadler’s Wells

Best entertainment or comedy play

Emilia at Vaudeville theatre

Fleabag at Wyndham’s theatre

Magic Goes Wrong at Vaudeville theatre

The Upstart Crow at Gielgud theatre

Best theatre choreographer

Fabian Aloise for Evita at Regent’s Park Open Air theatre

Matthew Bourne and Stephen Mear for Mary Poppins at Prince Edward theatre

Jerome Robbins and Matt Cole for Fiddler on the Roof at Playhouse theatre

Jennifer Weber for & Juliet at Shaftesbury theatre

Best musical revival

Evita at Regent’s Park Open Air theatre

Fiddler on the Roof at Playhouse theatre

Joseph and the Amazing Technicolor Dreamcoat at the London Palladium

Mary Poppins at Prince Edward theatre

Andy Nyman in Fiddler on the Roof. Photograph: Johan Persson

Best actor in a musical

Andy Nyman for Fiddler on the Roof at Playhouse theatre

Charlie Stemp for Mary Poppins at Prince Edward theatre

Sam Tutty for Dear Evan Hansen at Noël Coward theatre

Jac Yarrow for Joseph and the Amazing Technicolor Dreamcoat at the London Palladium

Best actress in a musical

Audrey Brisson for Amélie the Musical at the Other Palace

Judy Kuhn for Fiddler on the Roof at Playhouse theatre

Miriam-Teak Lee for & Juliet at Shaftesbury theatre

Zizi Strallen for Mary Poppins at Prince Edward theatre

Best revival

Cyrano de Bergerac at Playhouse theatre

Death of a Salesman at the Young Vic and Piccadilly theatre

Present Laughter at the Old Vic

Rosmersholm at Duke of York’s theatre

Best family show

Mr Gum and the Dancing Bear – the Musical! at National Theatre – Dorfman

Oi Frog & Friends! at Lyric theatre

To the Moon and Back at Barbican theatre

The Worst Witch at Vaudeville Theatre

Outstanding achievement in an affiliate theatre

Baby Reindeer at Bush theatre

Blues in the Night at Kiln theatre

Our Lady of Kibeho at Theatre Royal Stratford East

Seven Methods of Killing Kylie Jenner at Jerwood Theatre Upstairs at the Royal Court theatre

Warheads at Park theatre

Best lighting design

Neil Austin for Rosmersholm at Duke of York’s theatre

Paule Constable for The Ocean at the End of the Lane at the National Theatre – Dorman

Howard Hudson for & Juliet at Shaftesbury theatre

Bruno Poet for Uncle Vanya at Harold Pinter theatre

Best sound design

Gregory Clarke for Rosmersholm at Duke of York’s theatre

Emma Laxton for Emilia at Vaudeville theatre

Ben and Max Ringham for Anna at the National Theatre – Dorfman

Ben and Max Ringham for Cyrano de Bergerac at Playhouse theatre

Best costume design

Hugh Durrant for Goldilocks and the Three Bears at the London Palladium

Jonathan Lipman for Fiddler on the Roof at Playhouse theatre

Joanna Scotcher for Emilia at Vaudeville theatre

Paloma Young for & Juliet at Shaftesbury theatre

Best set design

Bob Crowley for Mary Poppins at Prince Edward theatre

Soutra Gilmour for & Juliet at Shaftesbury theatre

Rae Smith for Rosmersholm at Duke of York’s theatre

Rae Smith for Uncle Vanya at Harold Pinter theatre

Best actor in a supporting role

Arinzé Kene for Death of a Salesman at the Young Vic

Colin Morgan for All My Sons at the Old Vic

Adrian Scarborough for Leopoldstadt at Wyndham’s theatre

Reece Shearsmith for A Very Expensive Poison at the Old Vic

Indira Varma in Present Laughter. Photograph: Manuel Harlan

Best actress in a supporting role

Michele Austin for Cyrano de Bergerac at Playhouse theatre

Sophie Thompson for Present Laughter at the Old Vic

Indira Varma for Present Laughter at the Old Vic

Josie Walker for The Ocean at the End of the Lane at the National Theatre – Dorfman

Best new opera production

Berenice at the Royal Opera House – Linbury theatre

Billy Budd at the Royal Opera House

Hansel and Gretel at Regent’s Park Open Air theatre

Noye’s Fludde at Theatre Royal Stratford East

Outstanding achievement in opera

Jette Parker Young Artists for their performances in Berenice, Death in Venice and Phaedra at Royal Opera House

The Children’s Ensemble for their performance in Noye’s Fludde at Theatre Royal Stratford East

Martyn Brabbins and James Henshaw for their conducting of The Mask of Orpheus for English National Opera at London Coliseum

Wendell Pierce and Sharon D Clarke in Death of a Salesman. Photograph: Tristram Kenton/The Guardian

Best actor

Toby Jones for Uncle Vanya at Harold Pinter theatre

James McAvoy for Cyrano de Bergerac at Playhouse theatre

Wendell Pierce for Death of a Salesman at the Young Vic and Piccadilly theatre

Andrew Scott for Present Laughter at the Old Vic

Best actress

Hayley Atwell for Rosmersholm at Duke of York’s theatre

Sharon D Clarke for Death of a Salesman at Piccadilly theatre

Juliet Stevenson for The Doctor at Almeida theatre

Phoebe Waller-Bridge for Fleabag at Wyndham’s theatre

Best director

Marianne Elliott and Miranda Cromwell for Death of a Salesman at the Young Vic and Piccadilly theatre

Jamie Lloyd for Cyrano de Bergerac at Playhouse theatre

Trevor Nunn for Fiddler on the Roof at Playhouse theatre

Ian Rickson for Uncle Vanya at Harold Pinter theatre

Best new play

A Very Expensive Poison at the Old Vic

The Doctor at Almeida theatre

Leopoldstadt at Wyndham’s theatre

The Ocean at the End of the Lane at National Theatre – Dorfman

Best new musical