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 |
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79598 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }q_{2}^{2}S_{1}$ + ${ }M_{2}S_{1}S_{2}$ | 2.382 | 2.5173 | 0.9463 | [X:[], M:[0.7763, 0.8706], q:[0.5296, 0.6941], qb:[], phi:[], S:[0.6119, 0.5175], Sb:[], A:[], Ab:[]] | [X:[], M:[[12], [-2]], q:[[-15], [3]], qb:[], phi:[], S:[[-6], [8]], Sb:[], A:[], Ab:[]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }M_{2}$, ${ }S_{2}^{2}$, ${ }S_{1}^{2}$, ${ }M_{1}^{2}$, ${ }q_{1}^{2}S_{2}$, ${ }M_{1}M_{2}$, ${ }q_{1}^{2}S_{1}$, ${ }M_{2}^{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }M_{1}S_{2}^{2}$, ${ }q_{2}^{2}S_{2}$, ${ }M_{2}S_{2}^{2}$ | ${}$ | -1 | t^2.329 + t^2.612 + t^3.105 + t^3.671 + t^4.658 + t^4.73 + t^4.941 + t^5.013 + 2*t^5.224 + t^5.434 + t^5.717 - t^6. + 2*t^6.21 + t^6.566 + 4*t^6.776 + t^6.987 + 3*t^7.059 + t^7.27 + 3*t^7.342 + t^7.553 + t^7.763 + 2*t^7.836 + 2*t^8.119 + t^8.329 + 3*t^8.402 + 2*t^8.539 + 2*t^8.685 + 3*t^8.822 + 2*t^8.895 - t^4.553/y - t^4.836/y - t^6.881/y - t^7.164/y - (2*t^7.658)/y - t^7.941/y - (2*t^8.224)/y + t^8.434/y - (2*t^8.507)/y + t^8.717/y - t^4.553*y - t^4.836*y - t^6.881*y - t^7.164*y - 2*t^7.658*y - t^7.941*y - 2*t^8.224*y + t^8.434*y - 2*t^8.507*y + t^8.717*y | g1^12*t^2.329 + t^2.612/g1^2 + g1^16*t^3.105 + t^3.671/g1^12 + g1^24*t^4.658 + t^4.73/g1^22 + g1^10*t^4.941 + t^5.013/g1^36 + (2*t^5.224)/g1^4 + g1^28*t^5.434 + g1^14*t^5.717 - t^6. + 2*g1^32*t^6.21 + t^6.566/g1^28 + 4*g1^4*t^6.776 + g1^36*t^6.987 + (3*t^7.059)/g1^10 + g1^22*t^7.27 + (3*t^7.342)/g1^24 + g1^8*t^7.553 + g1^40*t^7.763 + (2*t^7.836)/g1^6 + (2*t^8.119)/g1^20 + g1^12*t^8.329 + (3*t^8.402)/g1^34 + 2*g1^44*t^8.539 + (2*t^8.685)/g1^48 + 3*g1^30*t^8.822 + (2*t^8.895)/g1^16 - (g1^8*t^4.553)/y - t^4.836/(g1^6*y) - (g1^20*t^6.881)/y - (g1^6*t^7.164)/y - (2*g1^24*t^7.658)/y - (g1^10*t^7.941)/y - (2*t^8.224)/(g1^4*y) + (g1^28*t^8.434)/y - (2*t^8.507)/(g1^18*y) + (g1^14*t^8.717)/y - g1^8*t^4.553*y - (t^4.836*y)/g1^6 - g1^20*t^6.881*y - g1^6*t^7.164*y - 2*g1^24*t^7.658*y - g1^10*t^7.941*y - (2*t^8.224*y)/g1^4 + g1^28*t^8.434*y - (2*t^8.507*y)/g1^18 + g1^14*t^8.717*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 |
---|---|---|---|---|---|---|---|---|
79635 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }q_{2}^{2}S_{1}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }M_{1}M_{3}$ | 2.3643 | 2.4864 | 0.9509 | [X:[], M:[0.7812, 0.8698, 1.2188], q:[0.5234, 0.6953], qb:[], phi:[], S:[0.6094, 0.5208], Sb:[], A:[], Ab:[]] | t^2.609 + t^3.125 + 2*t^3.656 + t^4.703 + t^4.969 + 2*t^5.219 + t^5.734 - 2*t^6. - t^4.562/y - t^4.828/y - t^4.562*y - t^4.828*y | detail | |
79631 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }q_{2}^{2}S_{1}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }M_{2}S_{2}^{2}$ | 2.3462 | 2.4891 | 0.9426 | [X:[], M:[0.8571, 0.8571], q:[0.4286, 0.7143], qb:[], phi:[], S:[0.5714, 0.5714], Sb:[], A:[], Ab:[]] | 2*t^2.571 + 2*t^3.429 + 2*t^4.286 + 4*t^5.143 + 2*t^6. - (2*t^4.714)/y - 2*t^4.714*y | detail | {a: 3219/1372, c: 3415/1372, M1: 6/7, M2: 6/7, q1: 3/7, q2: 5/7, S1: 4/7, S2: 4/7} |
79649 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }q_{2}^{2}S_{1}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }M_{3}S_{1}^{2}$ | 2.4 | 2.5491 | 0.9415 | [X:[], M:[0.7716, 0.8714, 0.7716], q:[0.5355, 0.6929], qb:[], phi:[], S:[0.6142, 0.5144], Sb:[], A:[], Ab:[]] | 2*t^2.315 + t^2.614 + t^3.087 + 3*t^4.63 + t^4.756 + 2*t^4.929 + t^5.055 + 2*t^5.228 + 2*t^5.401 + t^5.701 - 2*t^6. - t^4.543/y - t^4.843/y - t^4.543*y - t^4.843*y | detail | |
79642 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }q_{2}^{2}S_{1}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }M_{3}S_{2}^{2}$ | 2.386 | 2.5255 | 0.9448 | [X:[], M:[0.7876, 0.8687, 0.9498], q:[0.5155, 0.6969], qb:[], phi:[], S:[0.6062, 0.5251], Sb:[], A:[], Ab:[]] | t^2.363 + t^2.606 + t^2.85 + t^3.637 + t^4.668 + t^4.726 + t^4.911 + t^4.969 + 3*t^5.212 + t^5.456 + t^5.699 - t^6. - t^4.575/y - t^4.819/y - t^4.575*y - t^4.819*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 |
---|---|---|---|---|---|---|---|---|---|
79530 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }q_{2}^{2}S_{1}$ | 2.3705 | 2.4976 | 0.9491 | [X:[], M:[0.775], q:[0.5312, 0.6938], qb:[], phi:[], S:[0.6125, 0.5167], Sb:[], A:[], Ab:[]] | t^2.325 + t^3.1 + t^3.388 + t^3.675 + t^4.65 + t^4.737 + t^5.025 + t^5.225 + t^5.425 + t^5.713 - t^6. - t^4.55/y - t^4.837/y - t^4.55*y - t^4.837*y | detail |