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 |
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55301 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.705 | 0.8925 | 0.7899 | [M:[1.1608, 0.9877, 0.8392, 0.7581, 0.9066, 0.7244, 0.8055], q:[0.379, 0.4601], qb:[0.6333, 0.7818], phi:[0.4364]] | [M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [1, -15], [1, -5], [-2, 18]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{2}^{2}$ | ${}$ | -2 | t^2.173 + t^2.274 + t^2.416 + t^2.518 + t^2.619 + t^2.72 + t^2.963 + t^3.482 + t^4.07 + t^4.245 + 2*t^4.346 + t^4.447 + t^4.549 + 2*t^4.59 + 2*t^4.691 + 2*t^4.792 + t^4.833 + 2*t^4.893 + t^4.934 + t^4.994 + 2*t^5.035 + t^5.109 + 3*t^5.136 + 2*t^5.237 + t^5.339 + t^5.379 + t^5.44 + t^5.582 + t^5.656 + t^5.683 + t^5.899 + t^5.926 - 2*t^6. + t^6.202 + t^6.418 + t^6.486 + 2*t^6.519 - t^6.547 + t^6.588 + 2*t^6.621 + t^6.661 + t^6.689 + t^6.722 + 2*t^6.763 + t^6.823 + 3*t^6.864 + 4*t^6.965 + 2*t^7.006 + t^7.033 + 3*t^7.066 + 2*t^7.107 + 2*t^7.167 + 3*t^7.208 + t^7.249 + t^7.268 + t^7.282 + 4*t^7.309 + t^7.35 + t^7.383 + 4*t^7.41 + t^7.451 + 3*t^7.512 + t^7.525 + 4*t^7.553 + 2*t^7.613 + 2*t^7.654 + t^7.714 + t^7.728 + 3*t^7.755 + t^7.796 + t^7.829 + 4*t^7.856 + 2*t^7.957 - t^7.971 + t^7.998 + t^8.058 + 2*t^8.099 + t^8.14 + t^8.16 - 4*t^8.173 + 2*t^8.2 - 3*t^8.274 + t^8.302 + t^8.315 + t^8.342 + t^8.403 - 3*t^8.416 - 3*t^8.518 + t^8.545 + 2*t^8.591 - 2*t^8.619 + t^8.646 + t^8.66 + 2*t^8.693 - 4*t^8.72 + 2*t^8.794 - t^8.821 + t^8.835 + t^8.889 + 2*t^8.895 + t^8.903 + t^8.922 + t^8.936 - 4*t^8.963 + t^8.996 - t^4.309/y - t^6.482/y - t^6.584/y - t^6.726/y - t^6.928/y - t^7.029/y - t^7.272/y + t^7.346/y + t^7.447/y + (2*t^7.59)/y + (3*t^7.691)/y + (2*t^7.792)/y + (3*t^7.893)/y + t^7.934/y + t^7.994/y + (2*t^8.035)/y + (4*t^8.136)/y + (2*t^8.237)/y + t^8.339/y + t^8.379/y + t^8.481/y + t^8.582/y + t^8.683/y - t^8.858/y - t^4.309*y - t^6.482*y - t^6.584*y - t^6.726*y - t^6.928*y - t^7.029*y - t^7.272*y + t^7.346*y + t^7.447*y + 2*t^7.59*y + 3*t^7.691*y + 2*t^7.792*y + 3*t^7.893*y + t^7.934*y + t^7.994*y + 2*t^8.035*y + 4*t^8.136*y + 2*t^8.237*y + t^8.339*y + t^8.379*y + t^8.481*y + t^8.582*y + t^8.683*y - t^8.858*y | (g1*t^2.173)/g2^5 + (g1^2*t^2.274)/g2^16 + (g2^18*t^2.416)/g1^2 + (g2^7*t^2.518)/g1 + t^2.619/g2^4 + (g1*t^2.72)/g2^15 + (g2^8*t^2.963)/g1^2 + (g1*t^3.482)/g2^7 + (g2^28*t^4.07)/g1^4 + g1*g2*t^4.245 + (2*g1^2*t^4.346)/g2^10 + (g1^3*t^4.447)/g2^21 + (g1^4*t^4.549)/g2^32 + (2*g2^13*t^4.59)/g1 + 2*g2^2*t^4.691 + (2*g1*t^4.792)/g2^9 + (g2^36*t^4.833)/g1^4 + (2*g1^2*t^4.893)/g2^20 + (g2^25*t^4.934)/g1^3 + (g1^3*t^4.994)/g2^31 + (2*g2^14*t^5.035)/g1^2 + (g1^2*t^5.109)/g2^2 + (3*g2^3*t^5.136)/g1 + (2*t^5.237)/g2^8 + (g1*t^5.339)/g2^19 + (g2^26*t^5.379)/g1^4 + (g1^2*t^5.44)/g2^30 + (g2^4*t^5.582)/g1^2 + (g1^2*t^5.656)/g2^12 + t^5.683/(g1*g2^7) + (g2^11*t^5.899)/g1 + (g2^16*t^5.926)/g1^4 - 2*t^6. + (g1^2*t^6.202)/g2^22 + (g1^2*t^6.418)/g2^4 + (g2^46*t^6.486)/g1^6 + (2*g1^3*t^6.519)/g2^15 - t^6.547/g2^10 + (g2^35*t^6.588)/g1^5 + (2*g1^4*t^6.621)/g2^26 + (g2^19*t^6.661)/g1 + (g2^24*t^6.689)/g1^4 + (g1^5*t^6.722)/g2^37 + 2*g2^8*t^6.763 + (g1^6*t^6.823)/g2^48 + (3*g1*t^6.864)/g2^3 + (4*g1^2*t^6.965)/g2^14 + (2*g2^31*t^7.006)/g1^3 + (g2^36*t^7.033)/g1^6 + (3*g1^3*t^7.066)/g2^25 + (2*g2^20*t^7.107)/g1^2 + (2*g1^4*t^7.167)/g2^36 + (3*g2^9*t^7.208)/g1 + (g2^54*t^7.249)/g1^6 + (g1^5*t^7.268)/g2^47 + (g1^3*t^7.282)/g2^7 + (4*t^7.309)/g2^2 + (g2^43*t^7.35)/g1^5 + (g1^4*t^7.383)/g2^18 + (4*g1*t^7.41)/g2^13 + (g2^32*t^7.451)/g1^4 + (3*g1^2*t^7.512)/g2^24 + g2^16*t^7.525 + (4*g2^21*t^7.553)/g1^3 + (2*g1^3*t^7.613)/g2^35 + (2*g2^10*t^7.654)/g1^2 + (g1^4*t^7.714)/g2^46 + (g1^2*t^7.728)/g2^6 + (3*t^7.755)/(g1*g2) + (g2^44*t^7.796)/g1^6 + (g1^3*t^7.829)/g2^17 + (4*t^7.856)/g2^12 + (2*g1*t^7.957)/g2^23 - (g2^17*t^7.971)/g1 + (g2^22*t^7.998)/g1^4 + (g1^2*t^8.058)/g2^34 + (2*g2^11*t^8.099)/g1^3 + (g2^56*t^8.14)/g1^8 + (g1^3*t^8.16)/g2^45 - (4*g1*t^8.173)/g2^5 + (2*t^8.2)/g1^2 - (3*g1^2*t^8.274)/g2^16 + t^8.302/(g1*g2^11) + (g2^29*t^8.315)/g1^3 + (g2^34*t^8.342)/g1^6 + t^8.403/g2^22 - (3*g2^18*t^8.416)/g1^2 - (3*g2^7*t^8.518)/g1 + (g2^12*t^8.545)/g1^4 + (2*g1^3*t^8.591)/g2^9 - (2*t^8.619)/g2^4 + (g2*t^8.646)/g1^3 + (g2^41*t^8.66)/g1^5 + (2*g1^4*t^8.693)/g2^20 - (4*g1*t^8.72)/g2^15 + (2*g1^5*t^8.794)/g2^31 - (g1^2*t^8.821)/g2^26 + g2^14*t^8.835 + (g2^24*t^8.889)/g1^6 + (2*g1^6*t^8.895)/g2^42 + (g2^64*t^8.903)/g1^8 + (g1^3*t^8.922)/g2^37 + g1*g2^3*t^8.936 - (4*g2^8*t^8.963)/g1^2 + (g1^7*t^8.996)/g2^53 - t^4.309/(g2^2*y) - (g1*t^6.482)/(g2^7*y) - (g1^2*t^6.584)/(g2^18*y) - (g2^16*t^6.726)/(g1^2*y) - t^6.928/(g2^6*y) - (g1*t^7.029)/(g2^17*y) - (g2^6*t^7.272)/(g1^2*y) + (g1^2*t^7.346)/(g2^10*y) + (g1^3*t^7.447)/(g2^21*y) + (2*g2^13*t^7.59)/(g1*y) + (3*g2^2*t^7.691)/y + (2*g1*t^7.792)/(g2^9*y) + (3*g1^2*t^7.893)/(g2^20*y) + (g2^25*t^7.934)/(g1^3*y) + (g1^3*t^7.994)/(g2^31*y) + (2*g2^14*t^8.035)/(g1^2*y) + (4*g2^3*t^8.136)/(g1*y) + (2*t^8.237)/(g2^8*y) + (g1*t^8.339)/(g2^19*y) + (g2^26*t^8.379)/(g1^4*y) + (g2^15*t^8.481)/(g1^3*y) + (g2^4*t^8.582)/(g1^2*y) + t^8.683/(g1*g2^7*y) - (g1^4*t^8.858)/(g2^34*y) - (t^4.309*y)/g2^2 - (g1*t^6.482*y)/g2^7 - (g1^2*t^6.584*y)/g2^18 - (g2^16*t^6.726*y)/g1^2 - (t^6.928*y)/g2^6 - (g1*t^7.029*y)/g2^17 - (g2^6*t^7.272*y)/g1^2 + (g1^2*t^7.346*y)/g2^10 + (g1^3*t^7.447*y)/g2^21 + (2*g2^13*t^7.59*y)/g1 + 3*g2^2*t^7.691*y + (2*g1*t^7.792*y)/g2^9 + (3*g1^2*t^7.893*y)/g2^20 + (g2^25*t^7.934*y)/g1^3 + (g1^3*t^7.994*y)/g2^31 + (2*g2^14*t^8.035*y)/g1^2 + (4*g2^3*t^8.136*y)/g1 + (2*t^8.237*y)/g2^8 + (g1*t^8.339*y)/g2^19 + (g2^26*t^8.379*y)/g1^4 + (g2^15*t^8.481*y)/g1^3 + (g2^4*t^8.582*y)/g1^2 + (t^8.683*y)/(g1*g2^7) - (g1^4*t^8.858*y)/g2^34 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
46820 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6898 | 0.8671 | 0.7956 | [M:[1.1511, 0.9905, 0.8489, 0.7331, 0.8747, 0.7202], q:[0.3665, 0.4824], qb:[0.6429, 0.7846], phi:[0.4309]] | t^2.161 + t^2.199 + t^2.547 + t^2.585 + t^2.624 + t^2.972 + t^3.453 + t^3.492 + t^4.187 + t^4.282 + 2*t^4.321 + t^4.36 + t^4.398 + t^4.669 + t^4.707 + 2*t^4.746 + 2*t^4.785 + t^4.823 + t^5.094 + 2*t^5.132 + t^5.15 + 2*t^5.171 + t^5.209 + t^5.248 + t^5.557 + t^5.596 + t^5.614 + t^5.652 + t^5.691 + t^5.943 - 2*t^6. - t^4.293/y - t^4.293*y | detail |