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 |
---|---|---|---|---|---|---|---|---|---|
47289 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}^{2}$ | 0.702 | 0.8612 | 0.8151 | [M:[0.874, 1.0, 1.063, 0.937, 1.0], q:[0.5315, 0.5945], qb:[0.4685, 0.4685], phi:[0.4843]] | [M:[[8], [0], [-4], [4], [0]], q:[[-2], [-6]], qb:[[2], [2]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{2}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$ | -1 | t^2.622 + t^2.811 + t^2.906 + 2*t^3. + 2*t^3.189 + 3*t^4.264 + 2*t^4.453 + 3*t^4.642 + t^4.831 + t^5.02 + t^5.244 + t^5.433 + t^5.528 + t^5.622 + t^5.717 + 2*t^5.811 + 2*t^5.906 - t^6. + 2*t^6.094 + t^6.378 + 3*t^6.886 + 3*t^7.075 + 3*t^7.169 + 6*t^7.264 - t^7.358 + 6*t^7.453 + t^7.547 + 4*t^7.642 - 2*t^7.736 + 4*t^7.831 + t^7.866 + 2*t^8.02 + t^8.055 - t^8.114 + t^8.15 + 2*t^8.209 + t^8.244 + t^8.339 + 2*t^8.433 + 6*t^8.528 - 3*t^8.622 + 6*t^8.717 - 5*t^8.811 + 6*t^8.906 - t^4.453/y - t^7.075/y - t^7.358/y + t^7.547/y + t^7.831/y + t^8.433/y + t^8.528/y + (2*t^8.622)/y + t^8.717/y + (4*t^8.811)/y + (2*t^8.906)/y - t^4.453*y - t^7.075*y - t^7.358*y + t^7.547*y + t^7.831*y + t^8.433*y + t^8.528*y + 2*t^8.622*y + t^8.717*y + 4*t^8.811*y + 2*t^8.906*y | g1^8*t^2.622 + g1^4*t^2.811 + g1^2*t^2.906 + 2*t^3. + (2*t^3.189)/g1^4 + 3*g1^5*t^4.264 + 2*g1*t^4.453 + (3*t^4.642)/g1^3 + t^4.831/g1^7 + t^5.02/g1^11 + g1^16*t^5.244 + g1^12*t^5.433 + g1^10*t^5.528 + g1^8*t^5.622 + g1^6*t^5.717 + 2*g1^4*t^5.811 + 2*g1^2*t^5.906 - t^6. + (2*t^6.094)/g1^2 + t^6.378/g1^8 + 3*g1^13*t^6.886 + 3*g1^9*t^7.075 + 3*g1^7*t^7.169 + 6*g1^5*t^7.264 - g1^3*t^7.358 + 6*g1*t^7.453 + t^7.547/g1 + (4*t^7.642)/g1^3 - (2*t^7.736)/g1^5 + (4*t^7.831)/g1^7 + g1^24*t^7.866 + (2*t^8.02)/g1^11 + g1^20*t^8.055 - t^8.114/g1^13 + g1^18*t^8.15 + (2*t^8.209)/g1^15 + g1^16*t^8.244 + g1^14*t^8.339 + 2*g1^12*t^8.433 + 6*g1^10*t^8.528 - 3*g1^8*t^8.622 + 6*g1^6*t^8.717 - 5*g1^4*t^8.811 + 6*g1^2*t^8.906 - (g1*t^4.453)/y - (g1^9*t^7.075)/y - (g1^3*t^7.358)/y + t^7.547/(g1*y) + t^7.831/(g1^7*y) + (g1^12*t^8.433)/y + (g1^10*t^8.528)/y + (2*g1^8*t^8.622)/y + (g1^6*t^8.717)/y + (4*g1^4*t^8.811)/y + (2*g1^2*t^8.906)/y - g1*t^4.453*y - g1^9*t^7.075*y - g1^3*t^7.358*y + (t^7.547*y)/g1 + (t^7.831*y)/g1^7 + g1^12*t^8.433*y + g1^10*t^8.528*y + 2*g1^8*t^8.622*y + g1^6*t^8.717*y + 4*g1^4*t^8.811*y + 2*g1^2*t^8.906*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 |
---|---|---|---|---|---|---|---|---|
55628 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}^{2}$ + ${ }M_{4}M_{6}$ | 0.6969 | 0.8525 | 0.8175 | [M:[0.9083, 1.0, 1.0458, 0.9542, 1.0, 1.0458], q:[0.5229, 0.5687], qb:[0.4771, 0.4771], phi:[0.4885]] | t^2.725 + t^2.931 + 2*t^3. + 3*t^3.137 + 3*t^4.328 + 2*t^4.466 + 3*t^4.603 + t^4.741 + t^4.878 + t^5.45 + t^5.656 + t^5.863 + 2*t^5.931 - 3*t^6. - t^4.466/y - t^4.466*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 |
---|---|---|---|---|---|---|---|---|---|
46581 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ | 0.7194 | 0.8833 | 0.8145 | [M:[0.8377, 0.8377, 1.0, 1.0, 1.0], q:[0.5812, 0.5812], qb:[0.5812, 0.4188], phi:[0.4594]] | 2*t^2.513 + t^2.757 + 3*t^3. + t^3.487 + t^3.891 + 3*t^4.378 + 6*t^4.865 + 3*t^5.026 + 2*t^5.27 + 4*t^5.513 + 3*t^5.757 - 2*t^6. - t^4.378/y - t^4.378*y | detail |