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 |
---|---|---|---|---|---|---|---|---|---|
56960 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}M_{7}$ | 0.6931 | 0.8496 | 0.8159 | [M:[1.0303, 1.0061, 0.9697, 0.9818, 0.9939, 1.0182, 0.9818], q:[0.4909, 0.4788], qb:[0.503, 0.5394], phi:[0.497]] | [M:[[10], [2], [-10], [-6], [-2], [6], [-6]], q:[[-3], [-7]], qb:[[1], [13]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}$ | -3 | t^2.909 + 2*t^2.945 + 2*t^2.982 + t^3.091 + t^3.127 + t^4.363 + t^4.4 + 2*t^4.436 + t^4.473 + t^4.509 + t^4.546 + t^4.582 + t^4.618 + t^4.728 + t^5.854 + 4*t^5.891 + 3*t^5.927 + t^5.964 - 3*t^6. + 3*t^6.073 + t^6.109 - t^6.146 + t^6.218 + t^6.255 + t^7.272 + 2*t^7.309 + 4*t^7.345 + 4*t^7.382 + 4*t^7.418 + t^7.454 + t^7.491 + 2*t^7.527 + 3*t^7.564 + t^7.6 + 2*t^7.673 + 3*t^7.709 + t^7.819 + t^7.855 + t^8.727 + t^8.763 + 3*t^8.8 + 5*t^8.836 + 7*t^8.873 + t^8.909 - 5*t^8.945 - 5*t^8.982 - t^4.491/y - t^7.436/y - t^7.473/y + t^7.509/y + t^7.546/y + (2*t^8.854)/y + (3*t^8.891)/y + (4*t^8.927)/y + t^8.964/y - t^4.491*y - t^7.436*y - t^7.473*y + t^7.509*y + t^7.546*y + 2*t^8.854*y + 3*t^8.891*y + 4*t^8.927*y + t^8.964*y | t^2.909/g1^10 + (2*t^2.945)/g1^6 + (2*t^2.982)/g1^2 + g1^10*t^3.091 + g1^14*t^3.127 + t^4.363/g1^15 + t^4.4/g1^11 + (2*t^4.436)/g1^7 + t^4.473/g1^3 + g1*t^4.509 + g1^5*t^4.546 + g1^9*t^4.582 + g1^13*t^4.618 + g1^25*t^4.728 + t^5.854/g1^16 + (4*t^5.891)/g1^12 + (3*t^5.927)/g1^8 + t^5.964/g1^4 - 3*t^6. + 3*g1^8*t^6.073 + g1^12*t^6.109 - g1^16*t^6.146 + g1^24*t^6.218 + g1^28*t^6.255 + t^7.272/g1^25 + (2*t^7.309)/g1^21 + (4*t^7.345)/g1^17 + (4*t^7.382)/g1^13 + (4*t^7.418)/g1^9 + t^7.454/g1^5 + t^7.491/g1 + 2*g1^3*t^7.527 + 3*g1^7*t^7.564 + g1^11*t^7.6 + 2*g1^19*t^7.673 + 3*g1^23*t^7.709 + g1^35*t^7.819 + g1^39*t^7.855 + t^8.727/g1^30 + t^8.763/g1^26 + (3*t^8.8)/g1^22 + (5*t^8.836)/g1^18 + (7*t^8.873)/g1^14 + t^8.909/g1^10 - (5*t^8.945)/g1^6 - (5*t^8.982)/g1^2 - t^4.491/(g1*y) - t^7.436/(g1^7*y) - t^7.473/(g1^3*y) + (g1*t^7.509)/y + (g1^5*t^7.546)/y + (2*t^8.854)/(g1^16*y) + (3*t^8.891)/(g1^12*y) + (4*t^8.927)/(g1^8*y) + t^8.964/(g1^4*y) - (t^4.491*y)/g1 - (t^7.436*y)/g1^7 - (t^7.473*y)/g1^3 + g1*t^7.509*y + g1^5*t^7.546*y + (2*t^8.854*y)/g1^16 + (3*t^8.891*y)/g1^12 + (4*t^8.927*y)/g1^8 + (t^8.964*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
58736 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6993 | 0.8615 | 0.8117 | [M:[1.0642, 1.0128, 0.9358, 0.9615, 0.9872, 1.0385, 0.9615, 0.9102], q:[0.4808, 0.4551], qb:[0.5064, 0.5834], phi:[0.4936]] | t^2.731 + t^2.808 + 2*t^2.885 + 2*t^2.962 + t^3.192 + t^4.211 + t^4.288 + 2*t^4.365 + t^4.442 + t^4.519 + t^4.596 + t^4.673 + t^4.75 + t^4.981 + t^5.461 + t^5.538 + 2*t^5.615 + 3*t^5.692 + 4*t^5.769 + 3*t^5.846 + 2*t^5.923 - 3*t^6. - t^4.481/y - t^4.481*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 |
---|---|---|---|---|---|---|---|---|---|
55322 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ | 0.6919 | 0.8476 | 0.8162 | [M:[1.0153, 1.0031, 0.9847, 0.9908, 0.9969, 1.0092], q:[0.4954, 0.4893], qb:[0.5015, 0.5199], phi:[0.4985]] | t^2.954 + t^2.972 + 2*t^2.991 + t^3.028 + t^3.046 + t^3.064 + t^4.431 + t^4.449 + 2*t^4.468 + t^4.486 + t^4.505 + t^4.523 + t^4.541 + t^4.56 + t^4.615 + 2*t^5.945 + t^5.963 + 2*t^5.982 - 2*t^6. - t^4.495/y - t^4.495*y | detail |