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 |
---|---|---|---|---|---|---|---|---|---|
55069 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ | 0.7013 | 0.8626 | 0.813 | [M:[0.9771, 0.8854, 0.9771, 1.0687, 1.0229, 0.9313], q:[0.5344, 0.4885], qb:[0.5802, 0.4427], phi:[0.4885]] | [M:[[2], [10], [2], [-6], [-2], [6]], q:[[-3], [1]], qb:[[-7], [5]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}M_{5}\phi_{1}^{2}$ | 0 | t^2.656 + t^2.794 + 3*t^2.931 + t^3.069 + t^3.206 + t^4.122 + t^4.259 + 2*t^4.397 + 2*t^4.534 + 2*t^4.672 + t^4.809 + t^4.947 + t^5.313 + t^5.45 + 3*t^5.588 + 2*t^5.725 + 5*t^5.863 - t^6.275 + t^6.778 + 2*t^6.916 + 5*t^7.053 + 4*t^7.191 + 6*t^7.328 + 4*t^7.466 + 4*t^7.603 + t^7.741 + 2*t^7.878 + t^7.969 + t^8.106 + t^8.153 + 4*t^8.244 + 3*t^8.381 + 6*t^8.519 + 2*t^8.656 + 5*t^8.794 - 4*t^8.931 - t^4.466/y - t^7.122/y - (2*t^7.397)/y + (2*t^7.534)/y + t^7.809/y + t^8.45/y + (3*t^8.588)/y + (4*t^8.725)/y + (5*t^8.863)/y - t^4.466*y - t^7.122*y - 2*t^7.397*y + 2*t^7.534*y + t^7.809*y + t^8.45*y + 3*t^8.588*y + 4*t^8.725*y + 5*t^8.863*y | g1^10*t^2.656 + g1^6*t^2.794 + 3*g1^2*t^2.931 + t^3.069/g1^2 + t^3.206/g1^6 + g1^11*t^4.122 + g1^7*t^4.259 + 2*g1^3*t^4.397 + (2*t^4.534)/g1 + (2*t^4.672)/g1^5 + t^4.809/g1^9 + t^4.947/g1^13 + g1^20*t^5.313 + g1^16*t^5.45 + 3*g1^12*t^5.588 + 2*g1^8*t^5.725 + 5*g1^4*t^5.863 - t^6.275/g1^8 + g1^21*t^6.778 + 2*g1^17*t^6.916 + 5*g1^13*t^7.053 + 4*g1^9*t^7.191 + 6*g1^5*t^7.328 + 4*g1*t^7.466 + (4*t^7.603)/g1^3 + t^7.741/g1^7 + (2*t^7.878)/g1^11 + g1^30*t^7.969 + g1^26*t^8.106 + t^8.153/g1^19 + 4*g1^22*t^8.244 + 3*g1^18*t^8.381 + 6*g1^14*t^8.519 + 2*g1^10*t^8.656 + 5*g1^6*t^8.794 - 4*g1^2*t^8.931 - (g1*t^4.466)/y - (g1^11*t^7.122)/y - (2*g1^3*t^7.397)/y + (2*t^7.534)/(g1*y) + t^7.809/(g1^9*y) + (g1^16*t^8.45)/y + (3*g1^12*t^8.588)/y + (4*g1^8*t^8.725)/y + (5*g1^4*t^8.863)/y - g1*t^4.466*y - g1^11*t^7.122*y - 2*g1^3*t^7.397*y + (2*t^7.534*y)/g1 + (t^7.809*y)/g1^9 + g1^16*t^8.45*y + 3*g1^12*t^8.588*y + 4*g1^8*t^8.725*y + 5*g1^4*t^8.863*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 |
---|---|---|---|---|---|---|---|---|
56702 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ | 0.7036 | 0.8669 | 0.8116 | [M:[0.9747, 0.8734, 0.9747, 1.076, 1.0253, 0.924, 0.9747], q:[0.538, 0.4873], qb:[0.5886, 0.4367], phi:[0.4873]] | t^2.62 + t^2.772 + 4*t^2.924 + t^3.228 + t^4.082 + t^4.234 + 2*t^4.386 + 2*t^4.538 + 2*t^4.69 + t^4.842 + t^4.994 + t^5.24 + t^5.392 + 4*t^5.544 + 2*t^5.696 + 8*t^5.848 - 3*t^6. - t^4.462/y - t^4.462*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 |
---|---|---|---|---|---|---|---|---|---|
46938 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ | 0.7134 | 0.8806 | 0.8101 | [M:[0.846, 0.8524, 1.0534, 1.0471, 0.9466, 0.9529], q:[0.6272, 0.5267], qb:[0.5203, 0.4262], phi:[0.4749]] | t^2.538 + t^2.557 + t^2.84 + t^2.849 + t^2.859 + t^3.141 + t^3.16 + t^3.982 + t^4.264 + t^4.283 + t^4.547 + t^4.566 + 2*t^4.585 + t^4.867 + t^4.886 + t^5.076 + t^5.095 + t^5.115 + t^5.188 + t^5.378 + t^5.387 + t^5.397 + t^5.407 + t^5.416 + t^5.679 + t^5.689 + 2*t^5.698 + t^5.708 + t^5.718 + t^5.99 - 2*t^6. - t^4.425/y - t^4.425*y | detail |