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 |
---|---|---|---|---|---|---|---|---|---|
819 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ | 0.6993 | 0.8587 | 0.8143 | [M:[0.9795, 0.9385, 1.0205, 1.0615, 0.8976], q:[0.5717, 0.4488], qb:[0.4898, 0.5307], phi:[0.4898]] | [M:[[-2], [-6], [2], [6], [-10]], q:[[7], [-5]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.693 + t^2.816 + 2*t^2.939 + 2*t^3.061 + t^3.184 + t^4.162 + t^4.285 + 2*t^4.408 + 2*t^4.531 + 2*t^4.654 + t^4.777 + t^4.899 + t^5.385 + t^5.508 + 2*t^5.631 + 2*t^5.754 + 3*t^5.877 + t^6. + t^6.123 + t^6.855 + 2*t^6.978 + 4*t^7.101 + 4*t^7.223 + 5*t^7.346 + 4*t^7.469 + 4*t^7.592 + 2*t^7.715 + 2*t^7.838 + t^7.961 + t^8.078 + t^8.084 + t^8.201 + 3*t^8.324 + 3*t^8.447 + 4*t^8.57 + 2*t^8.693 + 2*t^8.816 - t^8.939 - t^4.469/y - t^7.162/y - t^7.408/y + t^7.531/y + t^7.777/y + t^8.508/y + (2*t^8.631)/y + (4*t^8.754)/y + (4*t^8.877)/y - t^4.469*y - t^7.162*y - t^7.408*y + t^7.531*y + t^7.777*y + t^8.508*y + 2*t^8.631*y + 4*t^8.754*y + 4*t^8.877*y | t^2.693/g1^10 + t^2.816/g1^6 + (2*t^2.939)/g1^2 + 2*g1^2*t^3.061 + g1^6*t^3.184 + t^4.162/g1^11 + t^4.285/g1^7 + (2*t^4.408)/g1^3 + 2*g1*t^4.531 + 2*g1^5*t^4.654 + g1^9*t^4.777 + g1^13*t^4.899 + t^5.385/g1^20 + t^5.508/g1^16 + (2*t^5.631)/g1^12 + (2*t^5.754)/g1^8 + (3*t^5.877)/g1^4 + t^6. + g1^4*t^6.123 + t^6.855/g1^21 + (2*t^6.978)/g1^17 + (4*t^7.101)/g1^13 + (4*t^7.223)/g1^9 + (5*t^7.346)/g1^5 + (4*t^7.469)/g1 + 4*g1^3*t^7.592 + 2*g1^7*t^7.715 + 2*g1^11*t^7.838 + g1^15*t^7.961 + t^8.078/g1^30 + g1^19*t^8.084 + t^8.201/g1^26 + (3*t^8.324)/g1^22 + (3*t^8.447)/g1^18 + (4*t^8.57)/g1^14 + (2*t^8.693)/g1^10 + (2*t^8.816)/g1^6 - t^8.939/g1^2 - t^4.469/(g1*y) - t^7.162/(g1^11*y) - t^7.408/(g1^3*y) + (g1*t^7.531)/y + (g1^9*t^7.777)/y + t^8.508/(g1^16*y) + (2*t^8.631)/(g1^12*y) + (4*t^8.754)/(g1^8*y) + (4*t^8.877)/(g1^4*y) - (t^4.469*y)/g1 - (t^7.162*y)/g1^11 - (t^7.408*y)/g1^3 + g1*t^7.531*y + g1^9*t^7.777*y + (t^8.508*y)/g1^16 + (2*t^8.631*y)/g1^12 + (4*t^8.754*y)/g1^8 + (4*t^8.877*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
1296 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{6}$ | 0.6946 | 0.8504 | 0.8168 | [M:[0.9868, 0.9605, 1.0132, 1.0395, 0.9342, 1.0395], q:[0.5461, 0.4671], qb:[0.4934, 0.5198], phi:[0.4934]] | t^2.802 + 2*t^2.96 + 2*t^3.04 + 2*t^3.119 + t^4.283 + t^4.362 + 2*t^4.441 + 2*t^4.52 + 2*t^4.599 + t^4.678 + t^4.757 + t^5.605 + t^5.763 + 2*t^5.921 - t^4.48/y - t^4.48*y | detail | |
1297 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{6}$ | 0.7059 | 0.8716 | 0.8099 | [M:[0.9727, 0.918, 1.0273, 1.082, 0.8634, 0.918], q:[0.5956, 0.4317], qb:[0.4863, 0.541], phi:[0.4863]] | t^2.59 + 2*t^2.754 + 2*t^2.918 + 2*t^3.082 + t^4.049 + t^4.213 + 2*t^4.377 + 2*t^4.541 + 2*t^4.705 + t^4.869 + t^5.033 + t^5.18 + 2*t^5.344 + 4*t^5.508 + 4*t^5.672 + 4*t^5.836 - t^4.459/y - t^4.459*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 |
---|---|---|---|---|---|---|---|---|---|
526 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.7211 | 0.8891 | 0.811 | [M:[0.9247, 0.774, 1.0753, 0.9247, 0.9247], q:[0.613, 0.4623], qb:[0.613, 0.4623], phi:[0.4623]] | t^2.322 + 4*t^2.774 + 2*t^3.226 + 3*t^4.161 + 4*t^4.613 + t^4.644 + 3*t^5.065 + 4*t^5.096 + 8*t^5.548 - t^4.387/y - t^4.387*y | detail |