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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1791 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6082 | 0.781 | 0.7787 | [M:[0.9798, 1.0606, 0.9798, 0.7652], q:[0.7449, 0.2753], qb:[0.4495, 0.4899], phi:[0.5101]] | [M:[[4], [-12], [4], [-3]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}q_{1}q_{2}\tilde{q}_{2}^{2}$ | -1 | t^2.174 + 2*t^2.295 + 2*t^2.939 + 2*t^3.182 + t^3.583 + t^3.705 + t^3.826 + t^4.227 + 2*t^4.348 + 3*t^4.47 + 3*t^4.591 + 2*t^5.114 + 4*t^5.235 + t^5.356 + 3*t^5.477 + t^5.758 + 4*t^5.879 - t^6. + 3*t^6.121 + 3*t^6.364 + t^6.401 + 4*t^6.523 + 3*t^6.644 + 5*t^6.765 + 3*t^6.886 + t^7.008 + 2*t^7.167 + 3*t^7.288 + 4*t^7.409 + 5*t^7.53 + 2*t^7.652 + 4*t^7.773 + t^7.811 + 2*t^7.932 + 3*t^8.053 + 3*t^8.174 - 3*t^8.295 + 3*t^8.417 + t^8.454 + t^8.538 + 2*t^8.576 + 4*t^8.659 + 5*t^8.697 + 7*t^8.818 - 2*t^8.939 - t^4.53/y - t^6.826/y + t^7.348/y + t^7.47/y + (2*t^7.591)/y - t^7.712/y + (2*t^8.114)/y + (5*t^8.235)/y + (2*t^8.356)/y + (4*t^8.477)/y + t^8.758/y + (4*t^8.879)/y - t^4.53*y - t^6.826*y + t^7.348*y + t^7.47*y + 2*t^7.591*y - t^7.712*y + 2*t^8.114*y + 5*t^8.235*y + 2*t^8.356*y + 4*t^8.477*y + t^8.758*y + 4*t^8.879*y | g1^5*t^2.174 + (2*t^2.295)/g1^3 + 2*g1^4*t^2.939 + (2*t^3.182)/g1^12 + g1^11*t^3.583 + g1^3*t^3.705 + t^3.826/g1^5 + g1^18*t^4.227 + 2*g1^10*t^4.348 + 3*g1^2*t^4.47 + (3*t^4.591)/g1^6 + 2*g1^9*t^5.114 + 4*g1*t^5.235 + t^5.356/g1^7 + (3*t^5.477)/g1^15 + g1^16*t^5.758 + 4*g1^8*t^5.879 - t^6. + (3*t^6.121)/g1^8 + (3*t^6.364)/g1^24 + g1^23*t^6.401 + 4*g1^15*t^6.523 + 3*g1^7*t^6.644 + (5*t^6.765)/g1 + (3*t^6.886)/g1^9 + t^7.008/g1^17 + 2*g1^22*t^7.167 + 3*g1^14*t^7.288 + 4*g1^6*t^7.409 + (5*t^7.53)/g1^2 + (2*t^7.652)/g1^10 + (4*t^7.773)/g1^18 + g1^29*t^7.811 + 2*g1^21*t^7.932 + 3*g1^13*t^8.053 + 3*g1^5*t^8.174 - (3*t^8.295)/g1^3 + (3*t^8.417)/g1^11 + g1^36*t^8.454 + t^8.538/g1^19 + 2*g1^28*t^8.576 + (4*t^8.659)/g1^27 + 5*g1^20*t^8.697 + 7*g1^12*t^8.818 - 2*g1^4*t^8.939 - t^4.53/(g1^2*y) - t^6.826/(g1^5*y) + (g1^10*t^7.348)/y + (g1^2*t^7.47)/y + (2*t^7.591)/(g1^6*y) - t^7.712/(g1^14*y) + (2*g1^9*t^8.114)/y + (5*g1*t^8.235)/y + (2*t^8.356)/(g1^7*y) + (4*t^8.477)/(g1^15*y) + (g1^16*t^8.758)/y + (4*g1^8*t^8.879)/y - (t^4.53*y)/g1^2 - (t^6.826*y)/g1^5 + g1^10*t^7.348*y + g1^2*t^7.47*y + (2*t^7.591*y)/g1^6 - (t^7.712*y)/g1^14 + 2*g1^9*t^8.114*y + 5*g1*t^8.235*y + (2*t^8.356*y)/g1^7 + (4*t^8.477*y)/g1^15 + g1^16*t^8.758*y + 4*g1^8*t^8.879*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 |
---|---|---|---|---|---|---|---|---|
2802 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6252 | 0.8113 | 0.7706 | [M:[0.989, 1.0331, 0.989, 0.7583, 0.7803], q:[0.7472, 0.2638], qb:[0.4724, 0.4945], phi:[0.5055]] | t^2.209 + 2*t^2.275 + t^2.341 + 2*t^2.967 + 2*t^3.099 + t^3.725 + t^3.791 + t^4.351 + 2*t^4.417 + 3*t^4.483 + 4*t^4.55 + 2*t^4.616 + t^4.682 + 2*t^5.176 + 4*t^5.242 + 3*t^5.308 + 3*t^5.374 + 2*t^5.44 + 2*t^5.934 - t^6. - t^4.517/y - t^4.517*y | detail | |
2803 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6266 | 0.8141 | 0.7697 | [M:[0.982, 1.054, 0.982, 0.7635, 0.7635], q:[0.7455, 0.2725], qb:[0.455, 0.491], phi:[0.509]] | t^2.182 + 3*t^2.291 + 2*t^2.946 + 2*t^3.162 + t^3.601 + t^3.818 + t^4.257 + 2*t^4.365 + 4*t^4.473 + 6*t^4.581 + 2*t^5.128 + 6*t^5.236 + t^5.345 + 5*t^5.453 + t^5.784 + 4*t^5.892 - 3*t^6. - t^4.527/y - t^4.527*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 |
---|---|---|---|---|---|---|---|---|---|
346 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6106 | 0.7864 | 0.7765 | [M:[0.9696, 1.0912, 0.9696, 0.7332], q:[0.7424, 0.288], qb:[0.4636, 0.4453], phi:[0.5152]] | 2*t^2.2 + t^2.255 + 2*t^2.909 + 2*t^3.274 + t^3.563 + t^3.618 + t^3.745 + t^4.217 + t^4.272 + t^4.327 + 3*t^4.399 + 2*t^4.454 + t^4.509 + 4*t^5.109 + 2*t^5.163 + 3*t^5.473 + t^5.528 + 2*t^5.763 + 5*t^5.818 + t^5.873 + t^5.945 - 3*t^6. - t^4.546/y - t^4.546*y | detail |