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 |
---|---|---|---|---|---|---|---|---|---|
2633 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6843 | 0.8549 | 0.8004 | [M:[0.972, 0.7603, 0.8959, 0.8364, 1.1636, 0.7305, 0.8364, 1.2397], q:[0.6479, 0.3801], qb:[0.4563, 0.7835], phi:[0.4331]] | [M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [-1, 5], [1, -1], [2, 2]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{6}M_{8}$ | ${}$ | -3 | t^2.192 + 2*t^2.509 + t^2.598 + t^2.688 + t^2.916 + t^3.58 + t^3.719 + t^4.037 + t^4.294 + 2*t^4.383 + t^4.612 + 2*t^4.701 + t^4.79 + t^4.879 + 3*t^5.018 + 3*t^5.108 + t^5.186 + 2*t^5.197 + t^5.286 + t^5.375 + t^5.425 + t^5.514 + t^5.604 + t^5.832 + t^5.911 - 3*t^6. + t^6.089 + t^6.178 + 2*t^6.228 + t^6.268 + t^6.486 + 2*t^6.546 + t^6.575 + 2*t^6.635 + t^6.803 + 3*t^6.892 + t^6.953 + t^6.982 + t^7.071 + t^7.121 + t^7.16 + 3*t^7.21 + 3*t^7.299 + t^7.378 + 2*t^7.388 + t^7.478 + 3*t^7.528 + t^7.567 + 4*t^7.617 + t^7.696 + 4*t^7.706 + t^7.756 + 3*t^7.795 + 2*t^7.884 + t^7.934 + t^7.963 + t^7.974 + 2*t^8.024 + t^8.063 + t^8.073 + 2*t^8.113 - 4*t^8.192 + t^8.202 - t^8.281 + t^8.291 + t^8.331 + t^8.341 + t^8.42 + t^8.43 - 6*t^8.509 + t^8.519 - 2*t^8.598 + t^8.648 + t^8.677 - 2*t^8.688 + 3*t^8.738 + t^8.748 + 2*t^8.767 + t^8.777 + t^8.827 + t^8.866 + t^8.906 - 3*t^8.916 + t^8.955 - t^4.299/y - t^6.491/y - t^6.808/y - t^6.898/y - t^6.987/y - t^7.215/y + t^7.383/y + t^7.612/y + (3*t^7.701)/y + (2*t^7.79)/y + t^7.879/y + t^8.018/y + (4*t^8.108)/y + (2*t^8.197)/y + t^8.286/y + (2*t^8.425)/y + t^8.514/y + t^8.604/y - t^8.682/y + t^8.772/y + t^8.911/y - t^4.299*y - t^6.491*y - t^6.808*y - t^6.898*y - t^6.987*y - t^7.215*y + t^7.383*y + t^7.612*y + 3*t^7.701*y + 2*t^7.79*y + t^7.879*y + t^8.018*y + 4*t^8.108*y + 2*t^8.197*y + t^8.286*y + 2*t^8.425*y + t^8.514*y + t^8.604*y - t^8.682*y + t^8.772*y + t^8.911*y | (g2^5*t^2.192)/g1 + (2*g1*t^2.509)/g2 + t^2.598/g2^8 + t^2.688/(g1*g2^15) + (g1^2*t^2.916)/g2^14 + t^3.58/(g1^2*g2^6) + g1^2*g2^2*t^3.719 + (g1^4*t^4.037)/g2^4 + (g2^17*t^4.294)/g1 + (2*g2^10*t^4.383)/g1^2 + g1*g2^11*t^4.612 + 2*g2^4*t^4.701 + t^4.79/(g1*g2^3) + t^4.879/(g1^2*g2^10) + (3*g1^2*t^5.018)/g2^2 + (3*g1*t^5.108)/g2^9 + (g2^26*t^5.186)/g1^2 + (2*t^5.197)/g2^16 + t^5.286/(g1*g2^23) + t^5.375/(g1^2*g2^30) + (g1^3*t^5.425)/g2^15 + (g1^2*t^5.514)/g2^22 + (g1*t^5.604)/g2^29 + (g1^4*t^5.832)/g2^28 + g1*g2^7*t^5.911 - 3*t^6. + t^6.089/(g1*g2^7) + t^6.178/(g1^2*g2^14) + 2*g1^3*g2*t^6.228 + t^6.268/(g1^3*g2^21) + (g2^22*t^6.486)/g1^2 + (2*g1^5*t^6.546)/g2^5 + (g2^15*t^6.575)/g1^3 + (2*g1^4*t^6.635)/g2^12 + g2^16*t^6.803 + (3*g2^9*t^6.892)/g1 + (g1^6*t^6.953)/g2^18 + (g2^2*t^6.982)/g1^2 + t^7.071/(g1^3*g2^5) + g1^2*g2^10*t^7.121 + t^7.16/(g1^4*g2^12) + 3*g1*g2^3*t^7.21 + (3*t^7.299)/g2^4 + (g2^31*t^7.378)/g1^3 + (2*t^7.388)/(g1*g2^11) + t^7.478/(g1^2*g2^18) + (3*g1^3*t^7.528)/g2^3 + t^7.567/(g1^3*g2^25) + (4*g1^2*t^7.617)/g2^10 + (g2^25*t^7.696)/g1 + (4*g1*t^7.706)/g2^17 + (g1^6*t^7.756)/g2^2 + (3*t^7.795)/g2^24 + (2*t^7.884)/(g1*g2^31) + (g1^4*t^7.934)/g2^16 + (g2^4*t^7.963)/g1^4 + t^7.974/(g1^2*g2^38) + (2*g1^3*t^8.024)/g2^23 + t^8.063/(g1^3*g2^45) + (g1^8*t^8.073)/g2^8 + (2*g1^2*t^8.113)/g2^30 - (4*g2^5*t^8.192)/g1 + (g1*t^8.202)/g2^37 - t^8.281/(g1^2*g2^2) + t^8.291/g2^44 + g1^3*g2^13*t^8.331 + (g1^5*t^8.341)/g2^29 + g1^2*g2^6*t^8.42 + (g1^4*t^8.43)/g2^36 - (6*g1*t^8.509)/g2 + (g1^3*t^8.519)/g2^43 - (2*t^8.598)/g2^8 + g1^5*g2^7*t^8.648 + (g2^27*t^8.677)/g1^3 - (2*t^8.688)/(g1*g2^15) + 3*g1^4*t^8.738 + (g1^6*t^8.748)/g2^42 + (2*g2^20*t^8.767)/g1^4 + t^8.777/(g1^2*g2^22) + (g1^3*t^8.827)/g2^7 + t^8.866/(g1^3*g2^29) + g2^28*t^8.906 - (3*g1^2*t^8.916)/g2^14 + t^8.955/(g1^4*g2^36) - t^4.299/(g2^4*y) - (g2*t^6.491)/(g1*y) - (g1*t^6.808)/(g2^5*y) - t^6.898/(g2^12*y) - t^6.987/(g1*g2^19*y) - (g1^2*t^7.215)/(g2^18*y) + (g2^10*t^7.383)/(g1^2*y) + (g1*g2^11*t^7.612)/y + (3*g2^4*t^7.701)/y + (2*t^7.79)/(g1*g2^3*y) + t^7.879/(g1^2*g2^10*y) + (g1^2*t^8.018)/(g2^2*y) + (4*g1*t^8.108)/(g2^9*y) + (2*t^8.197)/(g2^16*y) + t^8.286/(g1*g2^23*y) + (2*g1^3*t^8.425)/(g2^15*y) + (g1^2*t^8.514)/(g2^22*y) + (g1*t^8.604)/(g2^29*y) - (g2^6*t^8.682)/(g1^2*y) + t^8.772/(g1^3*g2*y) + (g1*g2^7*t^8.911)/y - (t^4.299*y)/g2^4 - (g2*t^6.491*y)/g1 - (g1*t^6.808*y)/g2^5 - (t^6.898*y)/g2^12 - (t^6.987*y)/(g1*g2^19) - (g1^2*t^7.215*y)/g2^18 + (g2^10*t^7.383*y)/g1^2 + g1*g2^11*t^7.612*y + 3*g2^4*t^7.701*y + (2*t^7.79*y)/(g1*g2^3) + (t^7.879*y)/(g1^2*g2^10) + (g1^2*t^8.018*y)/g2^2 + (4*g1*t^8.108*y)/g2^9 + (2*t^8.197*y)/g2^16 + (t^8.286*y)/(g1*g2^23) + (2*g1^3*t^8.425*y)/g2^15 + (g1^2*t^8.514*y)/g2^22 + (g1*t^8.604*y)/g2^29 - (g2^6*t^8.682*y)/g1^2 + (t^8.772*y)/(g1^3*g2) + g1*g2^7*t^8.911*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 |
---|---|---|---|---|---|---|---|---|
4760 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}X_{1}$ | 0.6468 | 0.7927 | 0.816 | [X:[1.3333], M:[1.1192, 0.6909, 0.9292, 0.8808, 1.1192, 0.6667, 0.8808, 1.3091], q:[0.5354, 0.3454], qb:[0.5354, 0.7737], phi:[0.4525]] | 2*t^2.642 + t^2.715 + t^2.788 + t^3.358 + t^3.43 + 2*t^3.927 + 2*t^4. + 3*t^4.57 + 3*t^5.285 + 2*t^5.358 + t^5.43 + t^5.503 + t^5.575 - 3*t^6. - t^4.358/y - t^4.358*y | detail | |
4764 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{3}M_{9}$ | 0.6783 | 0.8471 | 0.8007 | [M:[1.0044, 0.799, 0.9775, 0.8259, 1.1741, 0.7232, 0.8259, 1.201, 1.0225], q:[0.5961, 0.3995], qb:[0.4264, 0.7746], phi:[0.4509]] | t^2.17 + 2*t^2.478 + t^2.705 + t^3.013 + t^3.067 + t^3.603 + t^3.75 + t^3.911 + t^4.112 + 2*t^4.339 + t^4.42 + 2*t^4.647 + t^4.875 + t^4.929 + 3*t^4.956 + 3*t^5.183 + t^5.237 + t^5.491 + 2*t^5.545 + t^5.718 + 2*t^5.773 - 3*t^6. - t^4.353/y - t^4.353*y | detail | |
4763 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.673 | 0.8358 | 0.8052 | [M:[0.9924, 0.7696, 0.9265, 0.8355, 1.1645, 0.724, 0.8355, 1.2304, 1.119], q:[0.6228, 0.3848], qb:[0.4507, 0.7798], phi:[0.4405]] | t^2.172 + 2*t^2.506 + t^2.779 + t^2.977 + t^3.357 + t^3.63 + t^3.691 + t^4.026 + t^4.208 + 2*t^4.344 + t^4.542 + 2*t^4.679 + t^4.952 + 3*t^5.013 + t^5.058 + t^5.149 + t^5.286 + t^5.484 + t^5.529 + t^5.559 + t^5.757 + 3*t^5.863 + t^5.954 - 3*t^6. - t^4.321/y - t^4.321*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 |
---|---|---|---|---|---|---|---|---|---|
1555 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ | 0.7032 | 0.8896 | 0.7905 | [M:[0.9794, 0.7444, 0.8806, 0.8433, 1.1567, 0.7258, 0.8433], q:[0.6484, 0.3722], qb:[0.4711, 0.7845], phi:[0.431]] | t^2.177 + t^2.233 + 2*t^2.53 + t^2.586 + t^2.642 + t^2.938 + t^3.526 + t^4.119 + t^4.299 + 2*t^4.355 + t^4.411 + t^4.467 + t^4.651 + 2*t^4.707 + 3*t^4.763 + 2*t^4.819 + t^4.875 + 3*t^5.06 + 3*t^5.116 + 3*t^5.172 + t^5.183 + t^5.228 + t^5.283 + t^5.468 + t^5.524 + t^5.58 + t^5.759 + t^5.877 - 3*t^6. - t^4.293/y - t^4.293*y | detail |