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 |
---|---|---|---|---|---|---|---|---|---|
58538 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.4618 | 1.6639 | 0.8785 | [X:[1.3458], M:[0.6917], q:[0.5326, 0.5701], qb:[0.4486, 0.4861], phi:[0.3271]] | [X:[[6]], M:[[12]], q:[[-11], [7]], qb:[[2], [20]], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}^{2}q_{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.07 + 2*t^2.94 + 2*t^3.06 + t^3.17 + 3*t^4.04 + 2*t^4.15 + t^4.91 + 4*t^5.02 + 4*t^5.13 + 2*t^5.24 + 2*t^5.89 + t^6. + 7*t^6.11 + 5*t^6.22 + t^6.34 - t^6.87 + 6*t^6.98 + 10*t^7.09 + 9*t^7.21 + 4*t^7.32 + t^7.74 + 4*t^7.96 + 9*t^8.07 + 14*t^8.19 + 9*t^8.3 + 2*t^8.41 - t^8.72 - 2*t^8.94 + t^8.94/y^2 - t^3.98/y - t^4.96/y - t^6.06/y - (2*t^6.93)/y - (3*t^7.04)/y - t^7.15/y - t^7.91/y + t^8.24/y + t^8.89/y - t^3.98*y - t^4.96*y - t^6.06*y - 2*t^6.93*y - 3*t^7.04*y - t^7.15*y - t^7.91*y + t^8.24*y + t^8.89*y + t^8.94*y^2 | g1^12*t^2.07 + (2*t^2.94)/g1^9 + 2*g1^9*t^3.06 + g1^27*t^3.17 + 3*g1^6*t^4.04 + 2*g1^24*t^4.15 + t^4.91/g1^15 + 4*g1^3*t^5.02 + 4*g1^21*t^5.13 + 2*g1^39*t^5.24 + (2*t^5.89)/g1^18 + t^6. + 7*g1^18*t^6.11 + 5*g1^36*t^6.22 + g1^54*t^6.34 - t^6.87/g1^21 + (6*t^6.98)/g1^3 + 10*g1^15*t^7.09 + 9*g1^33*t^7.21 + 4*g1^51*t^7.32 + t^7.74/g1^42 + (4*t^7.96)/g1^6 + 9*g1^12*t^8.07 + 14*g1^30*t^8.19 + 9*g1^48*t^8.3 + 2*g1^66*t^8.41 - t^8.72/g1^45 - (2*t^8.94)/g1^9 + t^8.94/(g1^9*y^2) - t^3.98/(g1^3*y) - t^4.96/(g1^6*y) - (g1^9*t^6.06)/y - (2*t^6.93)/(g1^12*y) - (3*g1^6*t^7.04)/y - (g1^24*t^7.15)/y - t^7.91/(g1^15*y) + (g1^39*t^8.24)/y + t^8.89/(g1^18*y) - (t^3.98*y)/g1^3 - (t^4.96*y)/g1^6 - g1^9*t^6.06*y - (2*t^6.93*y)/g1^12 - 3*g1^6*t^7.04*y - g1^24*t^7.15*y - (t^7.91*y)/g1^15 + g1^39*t^8.24*y + (t^8.89*y)/g1^18 + (t^8.94*y^2)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
61249 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.4638 | 1.6658 | 0.8788 | [X:[1.349], M:[0.6981, 0.9764], q:[0.5268, 0.5739], qb:[0.4497, 0.4968], phi:[0.3255]] | t^2.09 + 3*t^2.93 + t^3.07 + t^3.21 + 3*t^4.05 + 2*t^4.19 + t^4.88 + 5*t^5.02 + 3*t^5.16 + 2*t^5.31 + 5*t^5.86 - t^3.98/y - t^4.95/y - t^3.98*y - t^4.95*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 |
---|---|---|---|---|---|---|---|---|---|
57398 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4412 | 1.6237 | 0.8876 | [X:[1.3465], q:[0.5315, 0.5709], qb:[0.4488, 0.4883], phi:[0.3268]] | 2*t^2.941 + 2*t^3.059 + t^3.177 + t^3.921 + 3*t^4.039 + t^4.158 + t^4.901 + 2*t^5.02 + 2*t^5.138 + t^5.256 + 2*t^5.882 + t^6. - t^3.98/y - t^4.961/y - t^3.98*y - t^4.961*y | detail |