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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56215 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.6545 | 0.8105 | 0.8076 | [M:[1.1651, 1.0294, 1.0679, 0.8349, 0.6991, 1.0679, 0.9706], q:[0.4367, 0.3982], qb:[0.5339, 0.767], phi:[0.4661]] | [M:[[-5], [-13], [4], [5], [-3], [4], [13]], q:[[11], [-6]], qb:[[2], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{5}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$ | ${}M_{5}\phi_{1}q_{1}q_{2}$ | -1 | t^2.097 + t^2.505 + t^2.912 + 2*t^3.204 + t^3.495 + t^3.611 + t^3.787 + t^3.903 + t^4.018 + 2*t^4.195 + t^4.31 + 2*t^4.602 + 2*t^5.009 + 2*t^5.301 + t^5.416 + 2*t^5.708 + t^5.824 - t^6. + 3*t^6.116 + t^6.292 + 3*t^6.407 + 2*t^6.523 + 3*t^6.699 + 3*t^6.815 + t^6.93 + 3*t^7.106 + 3*t^7.222 + 2*t^7.398 + 4*t^7.514 + t^7.574 + t^7.629 + 3*t^7.805 + 3*t^7.921 + t^7.982 + t^8.037 - 2*t^8.097 + 4*t^8.213 + 2*t^8.328 + t^8.389 + 4*t^8.62 + t^8.736 + t^8.796 + t^8.912 - t^4.398/y - t^6.495/y + t^7.195/y + t^8.009/y + (3*t^8.301)/y + t^8.416/y + (3*t^8.708)/y + t^8.884/y - t^4.398*y - t^6.495*y + t^7.195*y + t^8.009*y + 3*t^8.301*y + t^8.416*y + 3*t^8.708*y + t^8.884*y | t^2.097/g1^3 + g1^5*t^2.505 + g1^13*t^2.912 + 2*g1^4*t^3.204 + t^3.495/g1^5 + g1^12*t^3.611 + t^3.787/g1^14 + g1^3*t^3.903 + g1^20*t^4.018 + (2*t^4.195)/g1^6 + g1^11*t^4.31 + 2*g1^2*t^4.602 + 2*g1^10*t^5.009 + 2*g1*t^5.301 + g1^18*t^5.416 + 2*g1^9*t^5.708 + g1^26*t^5.824 - t^6. + 3*g1^17*t^6.116 + t^6.292/g1^9 + 3*g1^8*t^6.407 + 2*g1^25*t^6.523 + (3*t^6.699)/g1 + 3*g1^16*t^6.815 + g1^33*t^6.93 + 3*g1^7*t^7.106 + 3*g1^24*t^7.222 + (2*t^7.398)/g1^2 + 4*g1^15*t^7.514 + t^7.574/g1^28 + g1^32*t^7.629 + 3*g1^6*t^7.805 + 3*g1^23*t^7.921 + t^7.982/g1^20 + g1^40*t^8.037 - (2*t^8.097)/g1^3 + 4*g1^14*t^8.213 + 2*g1^31*t^8.328 + t^8.389/g1^12 + 4*g1^22*t^8.62 + g1^39*t^8.736 + t^8.796/g1^4 + g1^13*t^8.912 - t^4.398/(g1^2*y) - t^6.495/(g1^5*y) + t^7.195/(g1^6*y) + (g1^10*t^8.009)/y + (3*g1*t^8.301)/y + (g1^18*t^8.416)/y + (3*g1^9*t^8.708)/y + t^8.884/(g1^17*y) - (t^4.398*y)/g1^2 - (t^6.495*y)/g1^5 + (t^7.195*y)/g1^6 + g1^10*t^8.009*y + 3*g1*t^8.301*y + g1^18*t^8.416*y + 3*g1^9*t^8.708*y + (t^8.884*y)/g1^17 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
50803 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6541 | 0.8078 | 0.8098 | [M:[1.1458, 0.9792, 1.0833, 0.8542, 0.6875, 1.0833], q:[0.4792, 0.375], qb:[0.5417, 0.7708], phi:[0.4583]] | t^2.063 + t^2.563 + t^2.938 + 2*t^3.25 + t^3.438 + t^3.625 + t^3.75 + t^3.938 + 2*t^4.125 + t^4.25 + t^4.438 + 2*t^4.625 + t^5. + t^5.125 + 2*t^5.313 + t^5.5 + 2*t^5.813 + t^5.875 - t^6. - t^4.375/y - t^4.375*y | detail | {a: 4019/6144, c: 4963/6144, M1: 55/48, M2: 47/48, M3: 13/12, M4: 41/48, M5: 11/16, M6: 13/12, q1: 23/48, q2: 3/8, qb1: 13/24, qb2: 37/48, phi1: 11/24} |