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 |
---|---|---|---|---|---|---|---|---|---|
2163 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{7}$ | 0.675 | 0.8455 | 0.7983 | [M:[1.0291, 1.068, 1.1651, 0.8349, 0.699, 0.9709, 0.8349], q:[0.767, 0.534], qb:[0.4369, 0.3981], phi:[0.466]] | [M:[[13], [-4], [5], [-5], [3], [-13], [-5]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$ | ${}M_{5}q_{1}q_{2}$ | -1 | t^2.097 + 2*t^2.505 + t^2.796 + t^2.913 + t^3.204 + t^3.612 + t^3.786 + t^3.903 + t^4.019 + 2*t^4.194 + t^4.311 + 3*t^4.602 + t^4.893 + 4*t^5.01 + 3*t^5.301 + 2*t^5.417 + 3*t^5.709 + t^5.825 - t^6. + 3*t^6.116 + 2*t^6.291 + 2*t^6.408 + 3*t^6.524 + t^6.583 + 4*t^6.699 + 4*t^6.815 + t^6.932 + 5*t^7.107 + 2*t^7.223 - t^7.282 + 2*t^7.398 + 6*t^7.515 + t^7.573 + t^7.631 - t^7.689 + 5*t^7.806 + 5*t^7.922 + t^7.981 + t^8.039 - 2*t^8.097 + 6*t^8.214 + 3*t^8.33 + t^8.388 - 3*t^8.505 + 7*t^8.621 + t^8.738 + t^8.796 + 2*t^8.913 - t^4.398/y - t^6.495/y - t^6.903/y + (2*t^7.602)/y + (2*t^7.893)/y + (2*t^8.01)/y + (4*t^8.301)/y + (2*t^8.417)/y - t^8.592/y + (4*t^8.709)/y + t^8.884/y - t^4.398*y - t^6.495*y - t^6.903*y + 2*t^7.602*y + 2*t^7.893*y + 2*t^8.01*y + 4*t^8.301*y + 2*t^8.417*y - t^8.592*y + 4*t^8.709*y + t^8.884*y | g1^3*t^2.097 + (2*t^2.505)/g1^5 + g1^4*t^2.796 + t^2.913/g1^13 + t^3.204/g1^4 + t^3.612/g1^12 + g1^14*t^3.786 + t^3.903/g1^3 + t^4.019/g1^20 + 2*g1^6*t^4.194 + t^4.311/g1^11 + (3*t^4.602)/g1^2 + g1^7*t^4.893 + (4*t^5.01)/g1^10 + (3*t^5.301)/g1 + (2*t^5.417)/g1^18 + (3*t^5.709)/g1^9 + t^5.825/g1^26 - t^6. + (3*t^6.116)/g1^17 + 2*g1^9*t^6.291 + (2*t^6.408)/g1^8 + (3*t^6.524)/g1^25 + g1^18*t^6.583 + 4*g1*t^6.699 + (4*t^6.815)/g1^16 + t^6.932/g1^33 + (5*t^7.107)/g1^7 + (2*t^7.223)/g1^24 - g1^19*t^7.282 + 2*g1^2*t^7.398 + (6*t^7.515)/g1^15 + g1^28*t^7.573 + t^7.631/g1^32 - g1^11*t^7.689 + (5*t^7.806)/g1^6 + (5*t^7.922)/g1^23 + g1^20*t^7.981 + t^8.039/g1^40 - 2*g1^3*t^8.097 + (6*t^8.214)/g1^14 + (3*t^8.33)/g1^31 + g1^12*t^8.388 - (3*t^8.505)/g1^5 + (7*t^8.621)/g1^22 + t^8.738/g1^39 + g1^4*t^8.796 + (2*t^8.913)/g1^13 - (g1^2*t^4.398)/y - (g1^5*t^6.495)/y - t^6.903/(g1^3*y) + (2*t^7.602)/(g1^2*y) + (2*g1^7*t^7.893)/y + (2*t^8.01)/(g1^10*y) + (4*t^8.301)/(g1*y) + (2*t^8.417)/(g1^18*y) - (g1^8*t^8.592)/y + (4*t^8.709)/(g1^9*y) + (g1^17*t^8.884)/y - g1^2*t^4.398*y - g1^5*t^6.495*y - (t^6.903*y)/g1^3 + (2*t^7.602*y)/g1^2 + 2*g1^7*t^7.893*y + (2*t^8.01*y)/g1^10 + (4*t^8.301*y)/g1 + (2*t^8.417*y)/g1^18 - g1^8*t^8.592*y + (4*t^8.709*y)/g1^9 + g1^17*t^8.884*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 |
---|---|---|---|---|---|---|---|---|
4137 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6815 | 0.8555 | 0.7967 | [M:[1.015, 1.0723, 1.1596, 0.8404, 0.6958, 0.985, 0.8404, 0.9277], q:[0.7681, 0.5362], qb:[0.4488, 0.3915], phi:[0.4638]] | t^2.087 + 2*t^2.521 + 2*t^2.783 + t^2.955 + t^3.651 + t^3.741 + t^3.913 + t^4.085 + 2*t^4.175 + t^4.347 + 3*t^4.608 + 2*t^4.87 + 4*t^5.042 + 4*t^5.304 + 2*t^5.476 + 2*t^5.566 + 2*t^5.738 + t^5.91 - 2*t^6. - t^4.392/y - t^4.392*y | detail | |
4138 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}q_{1}q_{2}$ | 0.6956 | 0.8848 | 0.7862 | [M:[1.0271, 1.0686, 1.1643, 0.8357, 0.6986, 0.9729, 0.8357, 0.6986], q:[0.7671, 0.5343], qb:[0.4386, 0.3971], phi:[0.4657]] | 2*t^2.096 + 2*t^2.507 + t^2.794 + t^2.919 + t^3.206 + t^3.617 + t^3.78 + t^4.029 + 4*t^4.191 + t^4.316 + 5*t^4.603 + 2*t^4.89 + 5*t^5.014 + 4*t^5.301 + 2*t^5.426 + 4*t^5.713 + t^5.837 + t^5.876 - 2*t^6. - t^4.397/y - t^4.397*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 |
---|---|---|---|---|---|---|---|---|---|
1134 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.661 | 0.8205 | 0.8057 | [M:[1.0148, 1.0724, 1.1596, 0.8404, 0.6957, 0.9852], q:[0.7681, 0.5362], qb:[0.449, 0.3915], phi:[0.4638]] | t^2.087 + t^2.521 + t^2.783 + t^2.955 + t^3.217 + t^3.479 + t^3.651 + t^3.74 + t^3.913 + t^4.085 + 2*t^4.174 + t^4.347 + 2*t^4.609 + t^4.87 + 2*t^5.043 + 2*t^5.304 + t^5.477 + t^5.566 + 2*t^5.738 + t^5.911 - t^4.391/y - t^4.391*y | detail |