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 |
---|---|---|---|---|---|---|---|---|---|
186 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.489 | 0.6143 | 0.7961 | [M:[1.2024, 0.7976], q:[0.4008, 1.1984], qb:[0.3967, 0.4008], phi:[0.4008]] | [M:[[3], [-3]], q:[[1], [-2]], qb:[[-4], [1]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | 2*t^2.393 + 2*t^2.405 + t^3.583 + t^3.595 + t^3.607 + 4*t^4.785 + 5*t^4.798 + 2*t^4.81 + 2*t^5.976 + 2*t^5.988 - t^6. + t^7.166 + 6*t^7.178 + 6*t^7.19 + 2*t^7.202 + 2*t^7.215 + 4*t^8.368 + 3*t^8.38 - 5*t^8.393 - 4*t^8.405 - t^8.417 - t^4.202/y - t^6.607/y + t^7.785/y + (5*t^7.798)/y + t^7.81/y + (2*t^8.976)/y + (4*t^8.988)/y - t^4.202*y - t^6.607*y + t^7.785*y + 5*t^7.798*y + t^7.81*y + 2*t^8.976*y + 4*t^8.988*y | (2*t^2.393)/g1^3 + 2*g1^2*t^2.405 + t^3.583/g1^7 + t^3.595/g1^2 + g1^3*t^3.607 + (4*t^4.785)/g1^6 + (5*t^4.798)/g1 + 2*g1^4*t^4.81 + (2*t^5.976)/g1^10 + (2*t^5.988)/g1^5 - t^6. + t^7.166/g1^14 + (6*t^7.178)/g1^9 + (6*t^7.19)/g1^4 + 2*g1*t^7.202 + 2*g1^6*t^7.215 + (4*t^8.368)/g1^13 + (3*t^8.38)/g1^8 - (5*t^8.393)/g1^3 - 4*g1^2*t^8.405 - g1^7*t^8.417 - (g1*t^4.202)/y - (g1^3*t^6.607)/y + t^7.785/(g1^6*y) + (5*t^7.798)/(g1*y) + (g1^4*t^7.81)/y + (2*t^8.976)/(g1^10*y) + (4*t^8.988)/(g1^5*y) - g1*t^4.202*y - g1^3*t^6.607*y + (t^7.785*y)/g1^6 + (5*t^7.798*y)/g1 + g1^4*t^7.81*y + (2*t^8.976*y)/g1^10 + (4*t^8.988*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
296 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.506 | 0.6461 | 0.7832 | [M:[1.2155, 0.7845, 0.7845], q:[0.4052, 1.1896], qb:[0.3793, 0.4052], phi:[0.4052]] | 3*t^2.353 + 2*t^2.431 + t^3.491 + t^3.569 + 7*t^4.707 + 7*t^4.784 + 2*t^4.862 + 3*t^5.845 + 3*t^5.922 - 3*t^6. - t^4.216/y - t^4.216*y | detail | |
295 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5069 | 0.6453 | 0.7855 | [M:[1.1786, 0.8214, 0.75], q:[0.3929, 1.2143], qb:[0.4286, 0.3929], phi:[0.3929]] | t^2.25 + 2*t^2.357 + 2*t^2.464 + t^3.536 + t^3.643 + t^4.5 + 2*t^4.607 + 4*t^4.714 + 5*t^4.821 + 4*t^4.929 + t^5.786 + t^5.893 - t^6. - t^4.179/y - t^4.179*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 |
---|---|---|---|---|---|---|---|---|---|
118 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ | 0.5344 | 0.6715 | 0.7957 | [M:[1.0, 1.0], q:[0.5973, 0.9638], qb:[0.4027, 0.2805], phi:[0.4389]] | t^2.05 + 2*t^2.634 + 2*t^3. + t^3.366 + 2*t^3.733 + 2*t^4.099 + 3*t^4.683 + 2*t^5.05 + 2*t^5.267 + t^5.416 + 2*t^5.634 + 2*t^5.783 + t^6. - t^4.317/y - t^4.317*y | detail |