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 |
---|---|---|---|---|---|---|---|---|---|
1135 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6818 | 0.8582 | 0.7944 | [M:[0.9502, 1.0922, 1.1347, 0.8653, 0.6808, 0.7233], q:[0.7731, 0.5461], qb:[0.5037, 0.3616], phi:[0.4539]] | [M:[[13], [-4], [5], [-5], [3], [12]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{5}q_{1}q_{2}$ | 0 | t^2.042 + t^2.17 + t^2.596 + t^2.723 + t^2.851 + t^3.277 + t^3.404 + t^3.531 + t^3.958 + 2*t^4.085 + t^4.212 + t^4.34 + t^4.384 + t^4.511 + 2*t^4.638 + 2*t^4.766 + 2*t^4.893 + t^5.02 + t^5.192 + 2*t^5.319 + 3*t^5.447 + 2*t^5.574 + 2*t^5.701 + 4*t^6.127 + 4*t^6.255 + 2*t^6.382 + t^6.509 + t^6.553 + 3*t^6.681 + 4*t^6.808 + 4*t^6.936 + t^6.98 + 3*t^7.063 + t^7.107 + t^7.19 + t^7.234 + 3*t^7.362 + 5*t^7.489 + 5*t^7.616 + 3*t^7.744 + 2*t^7.871 + t^8.042 + 4*t^8.17 + 6*t^8.297 + 5*t^8.425 - t^8.469 + 3*t^8.552 - 2*t^8.596 + t^8.679 + 2*t^8.723 + t^8.767 + 3*t^8.851 + t^8.895 + 7*t^8.978 - t^4.362/y - t^6.404/y - t^6.531/y + t^7.511/y + t^7.638/y + (2*t^7.766)/y + (2*t^7.893)/y + t^8.02/y + t^8.192/y + (3*t^8.319)/y + (2*t^8.447)/y + (2*t^8.574)/y + t^8.873/y - t^4.362*y - t^6.404*y - t^6.531*y + t^7.511*y + t^7.638*y + 2*t^7.766*y + 2*t^7.893*y + t^8.02*y + t^8.192*y + 3*t^8.319*y + 2*t^8.447*y + 2*t^8.574*y + t^8.873*y | g1^3*t^2.042 + g1^12*t^2.17 + t^2.596/g1^5 + g1^4*t^2.723 + g1^13*t^2.851 + t^3.277/g1^4 + g1^5*t^3.404 + g1^14*t^3.531 + t^3.958/g1^3 + 2*g1^6*t^4.085 + g1^15*t^4.212 + g1^24*t^4.34 + t^4.384/g1^20 + t^4.511/g1^11 + (2*t^4.638)/g1^2 + 2*g1^7*t^4.766 + 2*g1^16*t^4.893 + g1^25*t^5.02 + t^5.192/g1^10 + (2*t^5.319)/g1 + 3*g1^8*t^5.447 + 2*g1^17*t^5.574 + 2*g1^26*t^5.701 + 4*g1^9*t^6.127 + 4*g1^18*t^6.255 + 2*g1^27*t^6.382 + g1^36*t^6.509 + t^6.553/g1^8 + 3*g1*t^6.681 + 4*g1^10*t^6.808 + 4*g1^19*t^6.936 + t^6.98/g1^25 + 3*g1^28*t^7.063 + t^7.107/g1^16 + g1^37*t^7.19 + t^7.234/g1^7 + 3*g1^2*t^7.362 + 5*g1^11*t^7.489 + 5*g1^20*t^7.616 + 3*g1^29*t^7.744 + 2*g1^38*t^7.871 + g1^3*t^8.042 + 4*g1^12*t^8.17 + 6*g1^21*t^8.297 + 5*g1^30*t^8.425 - t^8.469/g1^14 + 3*g1^39*t^8.552 - (2*t^8.596)/g1^5 + g1^48*t^8.679 + 2*g1^4*t^8.723 + t^8.767/g1^40 + 3*g1^13*t^8.851 + t^8.895/g1^31 + 7*g1^22*t^8.978 - (g1^2*t^4.362)/y - (g1^5*t^6.404)/y - (g1^14*t^6.531)/y + t^7.511/(g1^11*y) + t^7.638/(g1^2*y) + (2*g1^7*t^7.766)/y + (2*g1^16*t^7.893)/y + (g1^25*t^8.02)/y + t^8.192/(g1^10*y) + (3*t^8.319)/(g1*y) + (2*g1^8*t^8.447)/y + (2*g1^17*t^8.574)/y + t^8.873/(g1^9*y) - g1^2*t^4.362*y - g1^5*t^6.404*y - g1^14*t^6.531*y + (t^7.511*y)/g1^11 + (t^7.638*y)/g1^2 + 2*g1^7*t^7.766*y + 2*g1^16*t^7.893*y + g1^25*t^8.02*y + (t^8.192*y)/g1^10 + (3*t^8.319*y)/g1 + 2*g1^8*t^8.447*y + 2*g1^17*t^8.574*y + (t^8.873*y)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
2173 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6939 | 0.8782 | 0.7902 | [M:[0.9634, 1.0882, 1.1398, 0.8602, 0.6839, 0.7355, 0.8602], q:[0.772, 0.5441], qb:[0.4925, 0.3677], phi:[0.4559]] | t^2.052 + t^2.206 + 2*t^2.581 + t^2.735 + t^2.89 + t^3.265 + t^3.574 + t^3.948 + 2*t^4.103 + t^4.258 + t^4.323 + t^4.413 + t^4.477 + 3*t^4.632 + 3*t^4.787 + 2*t^4.942 + t^5.097 + 3*t^5.161 + 3*t^5.316 + 3*t^5.471 + t^5.626 + 2*t^5.78 + t^5.845 - t^6. - t^4.368/y - t^4.368*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 |
---|---|---|---|---|---|---|---|---|---|
700 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.662 | 0.821 | 0.8063 | [M:[0.9647, 1.0878, 1.1403, 0.8597, 0.6842], q:[0.7719, 0.5439], qb:[0.4914, 0.3683], phi:[0.4561]] | t^2.052 + t^2.579 + t^2.737 + t^2.894 + t^3.263 + t^3.421 + t^3.578 + t^3.79 + t^3.948 + 2*t^4.105 + t^4.317 + t^4.474 + 2*t^4.632 + t^4.789 + t^4.946 + t^5.158 + 2*t^5.316 + 2*t^5.473 + t^5.631 + t^5.788 + t^5.843 - t^4.368/y - t^4.368*y | detail |