Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
79585 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$ | 2.3038 | 2.3948 | 0.962 | [X:[], M:[0.9029, 1.0971, 0.9029], q:[0.7087, 0.7087], qb:[], phi:[], S:[0.4515, 0.6456], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, -2], [0, 2], [0, -2]], q:[[-1, -12], [1, 0]], qb:[], phi:[], S:[[0, -1], [0, 3]], Sb:[], A:[], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{3}$, ${ }S_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }S_{1}^{4}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{2}^{2}S_{1}$ | ${}S_{1}^{3}S_{2}$ | -4 | 2*t^2.709 + t^3.874 + t^4.252 + 3*t^5.417 + 3*t^5.607 - 4*t^6. + 3*t^6.189 + 3*t^6.583 + 3*t^6.961 + t^7.165 - 4*t^7.354 + 4*t^7.544 + 5*t^7.748 - 4*t^7.937 + 5*t^8.126 + 6*t^8.315 + t^8.505 - 12*t^8.709 + 10*t^8.898 - t^4.354/y - t^4.937/y - (2*t^7.063)/y - (2*t^7.646)/y - (2*t^8.228)/y + t^8.417/y - t^8.607/y - (2*t^8.811)/y - t^4.354*y - t^4.937*y - 2*t^7.063*y - 2*t^7.646*y - 2*t^8.228*y + t^8.417*y - t^8.607*y - 2*t^8.811*y | (2*t^2.709)/g2^2 + g2^6*t^3.874 + t^4.252/g2^12 + (3*t^5.417)/g2^4 + t^5.607/(g1^2*g2^25) + t^5.607/g2^13 + (g1^2*t^5.607)/g2 - 2*t^6. - t^6./(g1^2*g2^12) - g1^2*g2^12*t^6. + t^6.189/(g1^2*g2^21) + t^6.189/g2^9 + g1^2*g2^3*t^6.189 + 3*g2^4*t^6.583 + (3*t^6.961)/g2^14 + g2^8*t^7.165 - t^7.354/(g1^2*g2^13) - (2*t^7.354)/g2 - g1^2*g2^11*t^7.354 + t^7.544/(g1^2*g2^22) + (2*t^7.544)/g2^10 + g1^2*g2^2*t^7.544 + t^7.748/g1^2 + 3*g2^12*t^7.748 + g1^2*g2^24*t^7.748 - t^7.937/(g1^2*g2^9) - 2*g2^3*t^7.937 - g1^2*g2^15*t^7.937 + (5*t^8.126)/g2^6 + (2*t^8.315)/(g1^2*g2^27) + (2*t^8.315)/g2^15 + (2*g1^2*t^8.315)/g2^3 + t^8.505/g2^24 - (3*t^8.709)/(g1^2*g2^14) - (6*t^8.709)/g2^2 - 3*g1^2*g2^10*t^8.709 + (3*t^8.898)/(g1^2*g2^23) + (4*t^8.898)/g2^11 + 3*g1^2*g2*t^8.898 - t^4.354/(g2*y) - (g2^3*t^4.937)/y - (2*t^7.063)/(g2^3*y) - (2*g2*t^7.646)/y - (2*g2^5*t^8.228)/y + t^8.417/(g2^4*y) - t^8.607/(g2^13*y) - (2*g2^9*t^8.811)/y - (t^4.354*y)/g2 - g2^3*t^4.937*y - (2*t^7.063*y)/g2^3 - 2*g2*t^7.646*y - 2*g2^5*t^8.228*y + (t^8.417*y)/g2^4 - (t^8.607*y)/g2^13 - 2*g2^9*t^8.811*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
79671 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}S_{2}^{2}$ | 2.3242 | 2.4348 | 0.9546 | [X:[], M:[0.9017, 1.0983, 0.9017, 0.7052], q:[0.7052, 0.7052], qb:[], phi:[], S:[0.4509, 0.6474], Sb:[], A:[], Ab:[]] | t^2.115 + 2*t^2.705 + 2*t^4.231 + 2*t^4.821 + 3*t^5.41 + 3*t^5.584 - 4*t^6. - t^4.353/y - t^4.942/y - t^4.353*y - t^4.942*y | detail | |
79659 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$ + ${ }q_{1}q_{2}S_{1}$ | 2.2938 | 2.3659 | 0.9695 | [X:[], M:[0.9231, 1.0769, 0.9231], q:[0.7692, 0.7692], qb:[], phi:[], S:[0.4615, 0.6154], Sb:[], A:[], Ab:[]] | 2*t^2.769 + t^3.692 + t^4.615 + 3*t^5.538 - t^6. - t^4.385/y - t^4.846/y - t^4.385*y - t^4.846*y | detail | {a: 80631/35152, c: 41583/17576, M1: 12/13, M2: 14/13, M3: 12/13, q1: 10/13, q2: 10/13, S1: 6/13, S2: 8/13} |
79653 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$ + ${ }q_{1}^{2}S_{1}$ | 2.2994 | 2.382 | 0.9653 | [X:[], M:[0.9119, 1.0881, 0.9119], q:[0.772, 0.6993], qb:[], phi:[], S:[0.4559, 0.6322], Sb:[], A:[], Ab:[]] | 2*t^2.736 + t^3.793 + t^4.414 + 3*t^5.471 + t^5.564 - t^6. - t^4.368/y - t^4.896/y - t^4.368*y - t^4.896*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
79517 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{1}M_{2}$ | 2.295 | 2.3785 | 0.9649 | [X:[], M:[0.9046, 1.0954], q:[0.7138, 0.7138], qb:[], phi:[], S:[0.4523, 0.6431], Sb:[], A:[], Ab:[]] | t^2.714 + t^3.286 + t^3.859 + t^4.283 + t^5.428 + 3*t^5.64 - 3*t^6. - t^4.357/y - t^4.929/y - t^4.357*y - t^4.929*y | detail |