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 |
---|---|---|---|---|---|---|---|---|---|
917 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.702 | 0.8612 | 0.8151 | [M:[1.0, 0.937, 1.063, 0.874, 1.0], q:[0.4685, 0.5315], qb:[0.4685, 0.5945], phi:[0.4843]] | [M:[[0], [-4], [4], [-8], [0]], q:[[-2], [2]], qb:[[-2], [6]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{1}M_{5}$ | -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 | t^2.622/g1^8 + t^2.811/g1^4 + t^2.906/g1^2 + 2*t^3. + 2*g1^4*t^3.189 + (3*t^4.264)/g1^5 + (2*t^4.453)/g1 + 3*g1^3*t^4.642 + g1^7*t^4.831 + g1^11*t^5.02 + t^5.244/g1^16 + t^5.433/g1^12 + t^5.528/g1^10 + t^5.622/g1^8 + t^5.717/g1^6 + (2*t^5.811)/g1^4 + (2*t^5.906)/g1^2 - t^6. + 2*g1^2*t^6.094 + g1^8*t^6.378 + (3*t^6.886)/g1^13 + (3*t^7.075)/g1^9 + (3*t^7.169)/g1^7 + (6*t^7.264)/g1^5 - t^7.358/g1^3 + (6*t^7.453)/g1 + g1*t^7.547 + 4*g1^3*t^7.642 - 2*g1^5*t^7.736 + 4*g1^7*t^7.831 + t^7.866/g1^24 + 2*g1^11*t^8.02 + t^8.055/g1^20 - g1^13*t^8.114 + t^8.15/g1^18 + 2*g1^15*t^8.209 + t^8.244/g1^16 + t^8.339/g1^14 + (2*t^8.433)/g1^12 + (6*t^8.528)/g1^10 - (3*t^8.622)/g1^8 + (6*t^8.717)/g1^6 - (5*t^8.811)/g1^4 + (6*t^8.906)/g1^2 - t^4.453/(g1*y) - t^7.075/(g1^9*y) - t^7.358/(g1^3*y) + (g1*t^7.547)/y + (g1^7*t^7.831)/y + t^8.433/(g1^12*y) + t^8.528/(g1^10*y) + (2*t^8.622)/(g1^8*y) + t^8.717/(g1^6*y) + (4*t^8.811)/(g1^4*y) + (2*t^8.906)/(g1^2*y) - (t^4.453*y)/g1 - (t^7.075*y)/g1^9 - (t^7.358*y)/g1^3 + g1*t^7.547*y + g1^7*t^7.831*y + (t^8.433*y)/g1^12 + (t^8.528*y)/g1^10 + (2*t^8.622*y)/g1^8 + (t^8.717*y)/g1^6 + (4*t^8.811*y)/g1^4 + (2*t^8.906*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
1405 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ | 0.6969 | 0.8525 | 0.8175 | [M:[1.0, 0.9542, 1.0458, 0.9083, 1.0, 1.0458], q:[0.4771, 0.5229], qb:[0.4771, 0.5687], 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 |
---|---|---|---|---|---|---|---|---|---|
588 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ | 0.7293 | 0.896 | 0.8139 | [M:[1.0, 0.7765, 0.8995, 0.877, 1.0], q:[0.5503, 0.4497], qb:[0.5503, 0.6733], phi:[0.4441]] | t^2.329 + t^2.631 + t^2.665 + t^2.698 + 2*t^3. + t^3.671 + t^4.031 + 2*t^4.332 + 3*t^4.634 + t^4.659 + t^4.701 + t^4.96 + t^4.994 + 2*t^5.003 + t^5.028 + t^5.262 + t^5.296 + 3*t^5.329 + t^5.363 + t^5.372 + t^5.397 + 2*t^5.665 - 2*t^6. - t^4.332/y - t^4.332*y | detail |