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 |
---|---|---|---|---|---|---|---|---|---|
46896 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ | 0.6993 | 0.8587 | 0.8143 | [M:[1.0205, 0.8976, 0.9385, 1.0615, 0.9795], q:[0.5307, 0.4488], qb:[0.5717, 0.4898], phi:[0.4898]] | [M:[[-2], [10], [6], [-6], [2]], q:[[-3], [5]], qb:[[-7], [1]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 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 | g1^10*t^2.693 + g1^6*t^2.816 + 2*g1^2*t^2.939 + (2*t^3.061)/g1^2 + t^3.184/g1^6 + g1^11*t^4.162 + g1^7*t^4.285 + 2*g1^3*t^4.408 + (2*t^4.531)/g1 + (2*t^4.654)/g1^5 + t^4.777/g1^9 + t^4.899/g1^13 + g1^20*t^5.385 + g1^16*t^5.508 + 2*g1^12*t^5.631 + 2*g1^8*t^5.754 + 3*g1^4*t^5.877 + t^6. + t^6.123/g1^4 + g1^21*t^6.855 + 2*g1^17*t^6.978 + 4*g1^13*t^7.101 + 4*g1^9*t^7.223 + 5*g1^5*t^7.346 + 4*g1*t^7.469 + (4*t^7.592)/g1^3 + (2*t^7.715)/g1^7 + (2*t^7.838)/g1^11 + t^7.961/g1^15 + g1^30*t^8.078 + t^8.084/g1^19 + g1^26*t^8.201 + 3*g1^22*t^8.324 + 3*g1^18*t^8.447 + 4*g1^14*t^8.57 + 2*g1^10*t^8.693 + 2*g1^6*t^8.816 - g1^2*t^8.939 - (g1*t^4.469)/y - (g1^11*t^7.162)/y - (g1^3*t^7.408)/y + t^7.531/(g1*y) + t^7.777/(g1^9*y) + (g1^16*t^8.508)/y + (2*g1^12*t^8.631)/y + (4*g1^8*t^8.754)/y + (4*g1^4*t^8.877)/y - g1*t^4.469*y - g1^11*t^7.162*y - g1^3*t^7.408*y + (t^7.531*y)/g1 + (t^7.777*y)/g1^9 + g1^16*t^8.508*y + 2*g1^12*t^8.631*y + 4*g1^8*t^8.754*y + 4*g1^4*t^8.877*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 |
---|---|---|---|---|---|---|---|---|
55174 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{6}$ | 0.6946 | 0.8504 | 0.8168 | [M:[1.0132, 0.9342, 0.9605, 1.0395, 0.9868, 1.0395], q:[0.5198, 0.4671], qb:[0.5461, 0.4934], 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 |
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 |
---|---|---|---|---|---|---|---|---|---|
46490 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.6975 | 0.8554 | 0.8154 | [M:[1.018, 0.9098, 0.9459, 1.0541], q:[0.5271, 0.4549], qb:[0.5631, 0.491], phi:[0.491]] | t^2.729 + t^2.838 + t^2.946 + 3*t^3.054 + t^3.162 + t^4.202 + t^4.311 + 2*t^4.419 + 2*t^4.527 + 2*t^4.635 + t^4.743 + t^4.852 + t^5.459 + t^5.567 + t^5.675 + 2*t^5.784 + 2*t^5.892 - t^4.473/y - t^4.473*y | detail |