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 |
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285 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{5}$ | 0.6284 | 0.7608 | 0.826 | [M:[0.692, 1.2853, 0.7375, 0.692, 1.2625], q:[0.8327, 0.81], qb:[0.4753, 0.4526], phi:[0.3574]] | [M:[[1, -4, -1], [0, 2, 2], [0, 1, -5], [0, -5, 1], [0, -1, 5]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | ${}$ | -5 | 2*t^2.076 + t^2.784 + 2*t^3.788 + 4*t^3.856 + 3*t^4.152 + 2*t^4.86 + t^4.928 + t^5.567 + 4*t^5.864 + 6*t^5.932 - 5*t^6. - 2*t^6.068 + 4*t^6.228 + 2*t^6.571 + 4*t^6.64 + 3*t^6.936 - 4*t^7.072 - 2*t^7.14 + 3*t^7.575 + 8*t^7.643 + 6*t^7.712 - 2*t^7.78 + 6*t^7.94 + 8*t^8.008 - 10*t^8.076 - 3*t^8.144 + 5*t^8.304 + t^8.351 + 4*t^8.647 + 6*t^8.716 - 5*t^8.784 - 4*t^8.852 - t^4.072/y - (2*t^6.148)/y + t^7.152/y + (2*t^7.86)/y + (2*t^7.996)/y - (3*t^8.224)/y + (4*t^8.864)/y + (8*t^8.932)/y - t^4.072*y - 2*t^6.148*y + t^7.152*y + 2*t^7.86*y + 2*t^7.996*y - 3*t^8.224*y + 4*t^8.864*y + 8*t^8.932*y | (g1*t^2.076)/(g2^4*g3) + (g3*t^2.076)/g2^5 + g2^3*g3^3*t^2.784 + g1*g3^3*t^3.788 + (g3^5*t^3.788)/g2 + g1*g2^3*t^3.856 + 2*g2^2*g3^2*t^3.856 + (g2*g3^4*t^3.856)/g1 + (g1*t^4.152)/g2^9 + (g1^2*t^4.152)/(g2^8*g3^2) + (g3^2*t^4.152)/g2^10 + (g1*g3^2*t^4.86)/g2 + (g3^4*t^4.86)/g2^2 + g2*g3*t^4.928 + g2^6*g3^6*t^5.567 + (g1^2*g3^2*t^5.864)/g2^4 + (2*g1*g3^4*t^5.864)/g2^5 + (g3^6*t^5.864)/g2^6 + (g1^2*t^5.932)/(g2*g3) + (2*g1*g3*t^5.932)/g2^2 + (2*g3^3*t^5.932)/g2^3 + (g3^5*t^5.932)/(g1*g2^4) - 3*t^6. - (g1*g2*t^6.)/g3^2 - (g3^2*t^6.)/(g1*g2) - (g2^3*t^6.068)/g3^3 - (g2^2*t^6.068)/(g1*g3) + (g1^3*t^6.228)/(g2^12*g3^3) + (g1^2*t^6.228)/(g2^13*g3) + (g1*g3*t^6.228)/g2^14 + (g3^3*t^6.228)/g2^15 + g1*g2^3*g3^6*t^6.571 + g2^2*g3^8*t^6.571 + g1*g2^6*g3^3*t^6.64 + 2*g2^5*g3^5*t^6.64 + (g2^4*g3^7*t^6.64)/g1 + (g1^2*g3*t^6.936)/g2^5 + (g1*g3^3*t^6.936)/g2^6 + (g3^5*t^6.936)/g2^7 - (g1*t^7.072)/g3^3 - (2*t^7.072)/(g2*g3) - (g3*t^7.072)/(g1*g2^2) - (g2^2*t^7.14)/g3^4 - (g2*t^7.14)/(g1*g3^2) + g1^2*g3^6*t^7.575 + (g1*g3^8*t^7.575)/g2 + (g3^10*t^7.575)/g2^2 + g1^2*g2^3*g3^3*t^7.643 + 3*g1*g2^2*g3^5*t^7.643 + 3*g2*g3^7*t^7.643 + (g3^9*t^7.643)/g1 + g1^2*g2^6*t^7.712 + g1*g2^5*g3^2*t^7.712 + 2*g2^4*g3^4*t^7.712 + (g2^3*g3^6*t^7.712)/g1 + (g2^2*g3^8*t^7.712)/g1^2 - g2^7*g3*t^7.78 - (g2^6*g3^3*t^7.78)/g1 + (g1^3*g3*t^7.94)/g2^8 + (2*g1^2*g3^3*t^7.94)/g2^9 + (2*g1*g3^5*t^7.94)/g2^10 + (g3^7*t^7.94)/g2^11 + (2*g1^2*t^8.008)/g2^6 + (g1^3*t^8.008)/(g2^5*g3^2) + (2*g1*g3^2*t^8.008)/g2^7 + (2*g3^4*t^8.008)/g2^8 + (g3^6*t^8.008)/(g1*g2^9) - (g1^2*t^8.076)/(g2^3*g3^3) - (4*g1*t^8.076)/(g2^4*g3) - (4*g3*t^8.076)/g2^5 - (g3^3*t^8.076)/(g1*g2^6) - t^8.144/(g1*g2^3) - (g1*t^8.144)/(g2*g3^4) - t^8.144/(g2^2*g3^2) + (g1^2*t^8.304)/g2^18 + (g1^4*t^8.304)/(g2^16*g3^4) + (g1^3*t^8.304)/(g2^17*g3^2) + (g1*g3^2*t^8.304)/g2^19 + (g3^4*t^8.304)/g2^20 + g2^9*g3^9*t^8.351 + (g1^2*g3^5*t^8.647)/g2 + (2*g1*g3^7*t^8.647)/g2^2 + (g3^9*t^8.647)/g2^3 + g1^2*g2^2*g3^2*t^8.716 + 2*g1*g2*g3^4*t^8.716 + 2*g3^6*t^8.716 + (g3^8*t^8.716)/(g1*g2) - g1*g2^4*g3*t^8.784 - 3*g2^3*g3^3*t^8.784 - (g2^2*g3^5*t^8.784)/g1 - 2*g2^6*t^8.852 - (2*g2^5*g3^2*t^8.852)/g1 - t^4.072/(g2*g3*y) - t^6.148/(g2^6*y) - (g1*t^6.148)/(g2^5*g3^2*y) + (g1*t^7.152)/(g2^9*y) + (g1*g3^2*t^7.86)/(g2*y) + (g3^4*t^7.86)/(g2^2*y) + (g2^3*t^7.996)/(g1*y) + (g2^4*t^7.996)/(g3^2*y) - (g1^2*t^8.224)/(g2^9*g3^3*y) - (g1*t^8.224)/(g2^10*g3*y) - (g3*t^8.224)/(g2^11*y) + (g1^2*g3^2*t^8.864)/(g2^4*y) + (2*g1*g3^4*t^8.864)/(g2^5*y) + (g3^6*t^8.864)/(g2^6*y) + (g1^2*t^8.932)/(g2*g3*y) + (3*g1*g3*t^8.932)/(g2^2*y) + (3*g3^3*t^8.932)/(g2^3*y) + (g3^5*t^8.932)/(g1*g2^4*y) - (t^4.072*y)/(g2*g3) - (t^6.148*y)/g2^6 - (g1*t^6.148*y)/(g2^5*g3^2) + (g1*t^7.152*y)/g2^9 + (g1*g3^2*t^7.86*y)/g2 + (g3^4*t^7.86*y)/g2^2 + (g2^3*t^7.996*y)/g1 + (g2^4*t^7.996*y)/g3^2 - (g1^2*t^8.224*y)/(g2^9*g3^3) - (g1*t^8.224*y)/(g2^10*g3) - (g3*t^8.224*y)/g2^11 + (g1^2*g3^2*t^8.864*y)/g2^4 + (2*g1*g3^4*t^8.864*y)/g2^5 + (g3^6*t^8.864*y)/g2^6 + (g1^2*t^8.932*y)/(g2*g3) + (3*g1*g3*t^8.932*y)/g2^2 + (3*g3^3*t^8.932*y)/g2^3 + (g3^5*t^8.932*y)/(g1*g2^4) |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
181 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6485 | 0.7963 | 0.8144 | [M:[0.6913, 1.2958, 0.7078, 0.7007], q:[0.8352, 0.8127], qb:[0.4736, 0.4701], phi:[0.3521]] | t^2.074 + t^2.102 + t^2.123 + t^2.831 + t^3.848 + t^3.859 + 2*t^3.887 + t^3.916 + t^4.148 + t^4.176 + t^4.197 + t^4.204 + t^4.225 + t^4.247 + t^4.905 + t^4.933 + t^4.944 + t^4.954 + t^5.662 + t^5.922 + t^5.933 + t^5.951 + 2*t^5.961 + t^5.982 + 2*t^5.989 - 3*t^6. - t^4.056/y - t^4.056*y | detail |