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 |
---|---|---|---|---|---|---|---|---|---|
55603 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6483 | 0.8029 | 0.8074 | [M:[1.0593, 0.7034, 0.8221, 1.1779, 1.0593, 1.0551], q:[0.5317, 0.4089], qb:[0.7648, 0.4131], phi:[0.4703]] | [M:[[4], [-20], [-12], [12], [4], [-30]], q:[[19], [-23]], qb:[[1], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | -1 | t^2.11 + t^2.466 + t^3.165 + 2*t^3.178 + t^3.521 + t^3.534 + t^3.865 + t^3.877 + t^3.89 + t^4.221 + t^4.233 + t^4.246 + t^4.576 + t^4.602 + t^4.932 + t^5.276 + 2*t^5.288 + t^5.632 + 2*t^5.644 + t^5.975 + t^5.987 - t^6. - t^6.013 + 3*t^6.331 + 3*t^6.343 + 2*t^6.356 - t^6.368 + 2*t^6.687 + 2*t^6.699 + 2*t^6.712 + t^7.03 + 3*t^7.043 + t^7.055 + t^7.068 + 2*t^7.386 + 4*t^7.398 + t^7.411 + t^7.424 + t^7.729 + 2*t^7.742 + 3*t^7.754 + t^7.767 + t^7.779 + t^8.085 + 2*t^8.098 - t^8.123 + t^8.135 + 3*t^8.441 + 3*t^8.454 + t^8.466 - 2*t^8.479 + t^8.491 + 3*t^8.797 + 2*t^8.81 + t^8.822 + t^8.847 - t^4.411/y - t^6.521/y + t^7.233/y + t^7.246/y - t^7.589/y + t^8.276/y + (2*t^8.288)/y + t^8.301/y + t^8.632/y + (3*t^8.644)/y + t^8.975/y + (2*t^8.987)/y - t^4.411*y - t^6.521*y + t^7.233*y + t^7.246*y - t^7.589*y + t^8.276*y + 2*t^8.288*y + t^8.301*y + t^8.632*y + 3*t^8.644*y + t^8.975*y + 2*t^8.987*y | t^2.11/g1^20 + t^2.466/g1^12 + t^3.165/g1^30 + 2*g1^4*t^3.178 + t^3.521/g1^22 + g1^12*t^3.534 + t^3.865/g1^48 + t^3.877/g1^14 + g1^20*t^3.89 + t^4.221/g1^40 + t^4.233/g1^6 + g1^28*t^4.246 + t^4.576/g1^32 + g1^36*t^4.602 + t^4.932/g1^24 + t^5.276/g1^50 + (2*t^5.288)/g1^16 + t^5.632/g1^42 + (2*t^5.644)/g1^8 + t^5.975/g1^68 + t^5.987/g1^34 - t^6. - g1^34*t^6.013 + (3*t^6.331)/g1^60 + (3*t^6.343)/g1^26 + 2*g1^8*t^6.356 - g1^42*t^6.368 + (2*t^6.687)/g1^52 + (2*t^6.699)/g1^18 + 2*g1^16*t^6.712 + t^7.03/g1^78 + (3*t^7.043)/g1^44 + t^7.055/g1^10 + g1^24*t^7.068 + (2*t^7.386)/g1^70 + (4*t^7.398)/g1^36 + t^7.411/g1^2 + g1^32*t^7.424 + t^7.729/g1^96 + (2*t^7.742)/g1^62 + (3*t^7.754)/g1^28 + g1^6*t^7.767 + g1^40*t^7.779 + t^8.085/g1^88 + (2*t^8.098)/g1^54 - g1^14*t^8.123 + g1^48*t^8.135 + (3*t^8.441)/g1^80 + (3*t^8.454)/g1^46 + t^8.466/g1^12 - 2*g1^22*t^8.479 + g1^56*t^8.491 + (3*t^8.797)/g1^72 + (2*t^8.81)/g1^38 + t^8.822/g1^4 + g1^64*t^8.847 - t^4.411/(g1^2*y) - t^6.521/(g1^22*y) + t^7.233/(g1^6*y) + (g1^28*t^7.246)/y - (g1^2*t^7.589)/y + t^8.276/(g1^50*y) + (2*t^8.288)/(g1^16*y) + (g1^18*t^8.301)/y + t^8.632/(g1^42*y) + (3*t^8.644)/(g1^8*y) + t^8.975/(g1^68*y) + (2*t^8.987)/(g1^34*y) - (t^4.411*y)/g1^2 - (t^6.521*y)/g1^22 + (t^7.233*y)/g1^6 + g1^28*t^7.246*y - g1^2*t^7.589*y + (t^8.276*y)/g1^50 + (2*t^8.288*y)/g1^16 + g1^18*t^8.301*y + (t^8.632*y)/g1^42 + (3*t^8.644*y)/g1^8 + (t^8.975*y)/g1^68 + (2*t^8.987*y)/g1^34 |
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 |
---|---|---|---|---|---|---|---|---|
57261 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6688 | 0.8418 | 0.7944 | [M:[1.0579, 0.7107, 0.8264, 1.1736, 1.0579, 1.066, 0.6944], q:[0.5249, 0.4173], qb:[0.7645, 0.4091], phi:[0.4711]] | t^2.083 + t^2.132 + t^2.479 + 2*t^3.174 + t^3.198 + t^3.521 + t^3.545 + t^3.868 + t^3.892 + t^4.166 + 2*t^4.215 + t^4.24 + t^4.264 + 2*t^4.562 + t^4.611 + t^4.958 + 2*t^5.257 + t^5.281 + 2*t^5.306 + t^5.33 + t^5.604 + t^5.628 + 2*t^5.653 + t^5.677 + t^5.951 - t^6. - t^4.413/y - t^4.413*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 |
---|---|---|---|---|---|---|---|---|---|
48112 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6552 | 0.8131 | 0.8058 | [M:[1.054, 0.73, 0.838, 1.162, 1.054], q:[0.5065, 0.4395], qb:[0.7635, 0.3985], phi:[0.473]] | t^2.19 + t^2.514 + t^2.715 + 2*t^3.162 + t^3.486 + t^3.609 + t^3.81 + t^3.933 + t^4.056 + t^4.134 + t^4.257 + t^4.38 + t^4.458 + t^4.704 + t^4.905 + t^5.028 + t^5.229 + 2*t^5.352 + t^5.43 + 2*t^5.676 + t^5.877 - t^6. - t^4.419/y - t^4.419*y | detail |