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 |
---|---|---|---|---|---|---|---|---|---|
3162 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5958 | 0.7587 | 0.7852 | [X:[1.5696], M:[0.4304, 1.2912, 0.7088, 1.0128, 0.9872, 0.7088, 0.8353], q:[0.924, 0.6456], qb:[0.3672, 0.3416], phi:[0.4304]] | [X:[[2]], M:[[-2], [-6], [6], [-14], [14], [6], [24]], q:[[5], [-3]], qb:[[-11], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{7}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | 2*t^2.126 + t^2.506 + t^2.582 + t^2.962 + t^3.038 + t^3.341 + t^3.418 + t^3.797 + 3*t^4.253 + 2*t^4.632 + 3*t^4.709 + t^5.012 + 3*t^5.088 + 3*t^5.165 + 3*t^5.467 + 3*t^5.544 + t^5.847 + 4*t^5.923 - t^6. + 2*t^6.303 + 5*t^6.379 - t^6.456 + t^6.682 + 4*t^6.759 + 3*t^6.835 - 2*t^6.912 + 3*t^7.138 + 5*t^7.215 + 3*t^7.291 - t^7.368 + t^7.517 + 7*t^7.594 + 5*t^7.671 + 3*t^7.973 + 8*t^8.05 - 3*t^8.126 - t^8.203 + t^8.353 + 6*t^8.429 + 6*t^8.506 - 5*t^8.582 - t^8.659 + 4*t^8.808 + 7*t^8.885 - t^4.291/y - t^6.418/y - t^6.797/y - t^6.874/y + t^7.253/y + (2*t^7.632)/y + (3*t^7.709)/y + t^7.785/y + (3*t^8.088)/y + (3*t^8.165)/y + (3*t^8.467)/y + (3*t^8.544)/y + t^8.621/y + t^8.847/y + (3*t^8.923)/y - t^4.291*y - t^6.418*y - t^6.797*y - t^6.874*y + t^7.253*y + 2*t^7.632*y + 3*t^7.709*y + t^7.785*y + 3*t^8.088*y + 3*t^8.165*y + 3*t^8.467*y + 3*t^8.544*y + t^8.621*y + t^8.847*y + 3*t^8.923*y | 2*g1^6*t^2.126 + g1^24*t^2.506 + t^2.582/g1^4 + g1^14*t^2.962 + t^3.038/g1^14 + g1^32*t^3.341 + g1^4*t^3.418 + g1^22*t^3.797 + 3*g1^12*t^4.253 + 2*g1^30*t^4.632 + 3*g1^2*t^4.709 + g1^48*t^5.012 + 3*g1^20*t^5.088 + (3*t^5.165)/g1^8 + 3*g1^38*t^5.467 + 3*g1^10*t^5.544 + g1^56*t^5.847 + 4*g1^28*t^5.923 - t^6. + 2*g1^46*t^6.303 + 5*g1^18*t^6.379 - t^6.456/g1^10 + g1^64*t^6.682 + 4*g1^36*t^6.759 + 3*g1^8*t^6.835 - (2*t^6.912)/g1^20 + 3*g1^54*t^7.138 + 5*g1^26*t^7.215 + (3*t^7.291)/g1^2 - t^7.368/g1^30 + g1^72*t^7.517 + 7*g1^44*t^7.594 + 5*g1^16*t^7.671 + 3*g1^62*t^7.973 + 8*g1^34*t^8.05 - 3*g1^6*t^8.126 - t^8.203/g1^22 + g1^80*t^8.353 + 6*g1^52*t^8.429 + 6*g1^24*t^8.506 - (5*t^8.582)/g1^4 - t^8.659/g1^32 + 4*g1^70*t^8.808 + 7*g1^42*t^8.885 - t^4.291/(g1^2*y) - (g1^4*t^6.418)/y - (g1^22*t^6.797)/y - t^6.874/(g1^6*y) + (g1^12*t^7.253)/y + (2*g1^30*t^7.632)/y + (3*g1^2*t^7.709)/y + t^7.785/(g1^26*y) + (3*g1^20*t^8.088)/y + (3*t^8.165)/(g1^8*y) + (3*g1^38*t^8.467)/y + (3*g1^10*t^8.544)/y + t^8.621/(g1^18*y) + (g1^56*t^8.847)/y + (3*g1^28*t^8.923)/y - (t^4.291*y)/g1^2 - g1^4*t^6.418*y - g1^22*t^6.797*y - (t^6.874*y)/g1^6 + g1^12*t^7.253*y + 2*g1^30*t^7.632*y + 3*g1^2*t^7.709*y + (t^7.785*y)/g1^26 + 3*g1^20*t^8.088*y + (3*t^8.165*y)/g1^8 + 3*g1^38*t^8.467*y + 3*g1^10*t^8.544*y + (t^8.621*y)/g1^18 + g1^56*t^8.847*y + 3*g1^28*t^8.923*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 |
---|---|---|---|---|---|---|---|---|
5015 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6081 | 0.7792 | 0.7804 | [X:[1.5702], M:[0.4298, 1.2895, 0.7105, 1.0089, 0.9911, 0.7105, 0.842, 0.8597], q:[0.9254, 0.6448], qb:[0.3641, 0.3464], phi:[0.4298]] | 2*t^2.131 + t^2.526 + 2*t^2.579 + t^2.973 + t^3.027 + t^3.368 + t^3.815 + 3*t^4.263 + 2*t^4.657 + 5*t^4.71 + t^5.052 + 4*t^5.105 + 5*t^5.158 + 3*t^5.499 + 2*t^5.552 + t^5.606 + t^5.894 + 4*t^5.947 - 2*t^6. - t^4.29/y - t^4.29*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 |
---|---|---|---|---|---|---|---|---|---|
2095 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ | 0.5831 | 0.734 | 0.7944 | [X:[1.5732], M:[0.4268, 1.2803, 0.7197, 0.9873, 1.0127, 0.7197], q:[0.9331, 0.6401], qb:[0.3472, 0.3725], phi:[0.4268]] | 2*t^2.159 + t^2.561 + t^2.962 + t^3.038 + t^3.363 + t^3.439 + t^3.516 + t^3.917 + 3*t^4.318 + 3*t^4.72 + 3*t^5.121 + 2*t^5.197 + 2*t^5.523 + 2*t^5.599 + 2*t^5.675 + t^5.924 - t^6. - t^4.28/y - t^4.28*y | detail |