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 |
---|---|---|---|---|---|---|---|---|---|
513 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{3}$ | 0.6926 | 0.8476 | 0.8172 | [M:[0.9918, 0.9753, 1.0082, 1.0247], q:[0.5288, 0.4795], qb:[0.4959, 0.5123], phi:[0.4959]] | [M:[[-2], [-6], [2], [6]], q:[[7], [-5]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.926 + 2*t^2.975 + 2*t^3.025 + t^3.074 + t^3.123 + t^4.364 + t^4.414 + 2*t^4.463 + 2*t^4.512 + 2*t^4.562 + t^4.611 + t^4.66 + 2*t^5.951 + t^6. + 2*t^6.049 + 2*t^6.099 + 2*t^6.148 + t^6.197 + t^6.247 + t^7.29 + 2*t^7.34 + 2*t^7.389 + 3*t^7.438 + 4*t^7.488 + 4*t^7.537 + 4*t^7.586 + 4*t^7.636 + 3*t^7.685 + 2*t^7.734 + t^7.784 + t^8.729 + t^8.778 + t^8.827 + t^8.877 + t^8.926 - t^8.975 - t^4.488/y - t^7.463/y + t^7.512/y + (2*t^8.901)/y + (3*t^8.951)/y - t^4.488*y - t^7.463*y + t^7.512*y + 2*t^8.901*y + 3*t^8.951*y | t^2.926/g1^6 + (2*t^2.975)/g1^2 + 2*g1^2*t^3.025 + g1^6*t^3.074 + g1^10*t^3.123 + t^4.364/g1^11 + t^4.414/g1^7 + (2*t^4.463)/g1^3 + 2*g1*t^4.512 + 2*g1^5*t^4.562 + g1^9*t^4.611 + g1^13*t^4.66 + (2*t^5.951)/g1^4 + t^6. + 2*g1^4*t^6.049 + 2*g1^8*t^6.099 + 2*g1^12*t^6.148 + g1^16*t^6.197 + g1^20*t^6.247 + t^7.29/g1^17 + (2*t^7.34)/g1^13 + (2*t^7.389)/g1^9 + (3*t^7.438)/g1^5 + (4*t^7.488)/g1 + 4*g1^3*t^7.537 + 4*g1^7*t^7.586 + 4*g1^11*t^7.636 + 3*g1^15*t^7.685 + 2*g1^19*t^7.734 + g1^23*t^7.784 + t^8.729/g1^22 + t^8.778/g1^18 + t^8.827/g1^14 + t^8.877/g1^10 + t^8.926/g1^6 - t^8.975/g1^2 - t^4.488/(g1*y) - t^7.463/(g1^3*y) + (g1*t^7.512)/y + (2*t^8.901)/(g1^8*y) + (3*t^8.951)/(g1^4*y) - (t^4.488*y)/g1 - (t^7.463*y)/g1^3 + g1*t^7.512*y + (2*t^8.901*y)/g1^8 + (3*t^8.951*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 |
---|---|---|---|---|---|---|---|---|
802 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ | 0.6935 | 0.8487 | 0.8171 | [M:[0.9891, 0.9673, 1.0109, 1.0327, 0.9891], q:[0.5381, 0.4728], qb:[0.4946, 0.5163], phi:[0.4946]] | t^2.902 + 3*t^2.967 + t^3.033 + t^3.098 + t^3.163 + t^4.32 + t^4.386 + 2*t^4.451 + 2*t^4.516 + 2*t^4.582 + t^4.647 + t^4.712 + t^5.869 + 4*t^5.935 - t^4.484/y - t^4.484*y | detail | |
804 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}M_{5}$ | 0.696 | 0.8528 | 0.8162 | [M:[0.9839, 0.9516, 1.0161, 1.0484, 0.9516], q:[0.5564, 0.4597], qb:[0.4919, 0.5242], phi:[0.4919]] | 2*t^2.855 + 2*t^2.952 + 2*t^3.048 + t^3.242 + t^4.234 + t^4.331 + 2*t^4.427 + 2*t^4.524 + 2*t^4.621 + t^4.718 + t^4.814 + 2*t^5.71 + 2*t^5.807 + 4*t^5.903 - t^4.476/y - t^4.476*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 |
---|---|---|---|---|---|---|---|---|---|
329 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ | 0.7203 | 0.8807 | 0.8179 | [M:[0.9045, 1.0186, 0.7904, 0.9814], q:[0.5292, 0.5663], qb:[0.4522, 0.6433], phi:[0.4522]] | t^2.371 + 2*t^2.713 + t^2.944 + t^3.056 + t^3.287 + t^3.517 + t^4.07 + t^4.301 + t^4.412 + t^4.532 + 2*t^4.643 + t^4.742 + t^4.755 + t^4.874 + t^4.986 + 2*t^5.085 + t^5.216 + t^5.316 + 3*t^5.427 + t^5.658 + t^5.889 - t^6. - t^4.357/y - t^4.357*y | detail |