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 |
---|---|---|---|---|---|---|---|---|---|
3382 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6933 | 0.8483 | 0.8172 | [M:[0.972, 0.7263, 1.028, 0.6702, 0.972, 1.2737], q:[0.486, 0.542], qb:[0.486, 0.7877], phi:[0.4246]] | [M:[[-14], [6], [14], [-22], [-14], [-6]], q:[[-7], [21]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.011 + t^2.547 + 2*t^2.916 + t^3.084 + 2*t^3.821 + t^4.021 + 3*t^4.19 + 2*t^4.358 + t^4.526 + t^4.558 + 2*t^4.927 + 2*t^5.095 + 2*t^5.463 + t^5.631 + 3*t^5.832 - 3*t^6. + t^6.032 - t^6.168 + 3*t^6.2 + 2*t^6.369 + t^6.569 + 6*t^6.737 + t^6.905 + 2*t^6.937 + t^7.073 + 6*t^7.106 + t^7.274 + t^7.442 + 2*t^7.474 + t^7.61 + 2*t^7.642 - 2*t^7.81 + 3*t^7.843 - t^7.979 + 3*t^8.011 + t^8.043 + 3*t^8.211 + 8*t^8.379 - t^8.547 + t^8.58 + t^8.716 + 7*t^8.748 + 2*t^8.884 - 6*t^8.916 + 2*t^8.948 - t^4.274/y - t^6.284/y - t^6.821/y - t^7.19/y + t^7.358/y + t^7.558/y + t^7.726/y + (2*t^7.927)/y + t^8.095/y + t^8.263/y - t^8.295/y + (2*t^8.463)/y + t^8.631/y + (2*t^8.832)/y - t^4.274*y - t^6.284*y - t^6.821*y - t^7.19*y + t^7.358*y + t^7.558*y + t^7.726*y + 2*t^7.927*y + t^8.095*y + t^8.263*y - t^8.295*y + 2*t^8.463*y + t^8.631*y + 2*t^8.832*y | t^2.011/g1^22 + t^2.547/g1^4 + (2*t^2.916)/g1^14 + g1^14*t^3.084 + (2*t^3.821)/g1^6 + t^4.021/g1^44 + (3*t^4.19)/g1^16 + 2*g1^12*t^4.358 + g1^40*t^4.526 + t^4.558/g1^26 + (2*t^4.927)/g1^36 + (2*t^5.095)/g1^8 + (2*t^5.463)/g1^18 + g1^10*t^5.631 + (3*t^5.832)/g1^28 - 3*t^6. + t^6.032/g1^66 - g1^28*t^6.168 + (3*t^6.2)/g1^38 + (2*t^6.369)/g1^10 + t^6.569/g1^48 + (6*t^6.737)/g1^20 + g1^8*t^6.905 + (2*t^6.937)/g1^58 + g1^36*t^7.073 + (6*t^7.106)/g1^30 + t^7.274/g1^2 + g1^26*t^7.442 + (2*t^7.474)/g1^40 + g1^54*t^7.61 + (2*t^7.642)/g1^12 - 2*g1^16*t^7.81 + (3*t^7.843)/g1^50 - g1^44*t^7.979 + (3*t^8.011)/g1^22 + t^8.043/g1^88 + (3*t^8.211)/g1^60 + (8*t^8.379)/g1^32 - t^8.547/g1^4 + t^8.58/g1^70 + g1^24*t^8.716 + (7*t^8.748)/g1^42 + 2*g1^52*t^8.884 - (6*t^8.916)/g1^14 + (2*t^8.948)/g1^80 - t^4.274/(g1^2*y) - t^6.284/(g1^24*y) - t^6.821/(g1^6*y) - t^7.19/(g1^16*y) + (g1^12*t^7.358)/y + t^7.558/(g1^26*y) + (g1^2*t^7.726)/y + (2*t^7.927)/(g1^36*y) + t^8.095/(g1^8*y) + (g1^20*t^8.263)/y - t^8.295/(g1^46*y) + (2*t^8.463)/(g1^18*y) + (g1^10*t^8.631)/y + (2*t^8.832)/(g1^28*y) - (t^4.274*y)/g1^2 - (t^6.284*y)/g1^24 - (t^6.821*y)/g1^6 - (t^7.19*y)/g1^16 + g1^12*t^7.358*y + (t^7.558*y)/g1^26 + g1^2*t^7.726*y + (2*t^7.927*y)/g1^36 + (t^8.095*y)/g1^8 + g1^20*t^8.263*y - (t^8.295*y)/g1^46 + (2*t^8.463*y)/g1^18 + g1^10*t^8.631*y + (2*t^8.832*y)/g1^28 |
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 |
---|---|---|---|---|---|---|---|---|
3859 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}M_{7}$ | 0.7132 | 0.8851 | 0.8057 | [M:[0.9742, 0.7253, 1.0258, 0.6737, 0.9742, 1.2747, 0.7253], q:[0.4871, 0.5387], qb:[0.4871, 0.7876], phi:[0.4249]] | t^2.021 + t^2.176 + t^2.549 + 2*t^2.923 + t^3.077 + t^3.824 + t^4.042 + 4*t^4.197 + 3*t^4.352 + t^4.507 + t^4.57 + t^4.725 + 2*t^4.944 + 4*t^5.099 + t^5.253 + 2*t^5.472 + t^5.627 + 2*t^5.845 - 2*t^6. - t^4.275/y - t^4.275*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 |
---|---|---|---|---|---|---|---|---|---|
2832 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{6}$ | 0.6933 | 0.8484 | 0.8171 | [M:[0.971, 0.7285, 1.029, 0.6706, 0.971, 1.2715], q:[0.4871, 0.5419], qb:[0.4839, 0.7876], phi:[0.4249]] | t^2.012 + t^2.549 + 2*t^2.913 + t^3.077 + t^3.814 + t^3.824 + t^4.024 + t^4.178 + t^4.188 + t^4.197 + t^4.352 + t^4.362 + t^4.526 + t^4.561 + 2*t^4.925 + t^5.089 + t^5.099 + 2*t^5.462 + t^5.627 + 3*t^5.826 + t^5.99 - 3*t^6. - t^4.275/y - t^4.275*y | detail |