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 |
---|---|---|---|---|---|---|---|---|---|
4157 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ | 0.7056 | 0.8986 | 0.7853 | [M:[0.9676, 1.0869, 1.1414, 0.8586, 0.8041, 0.9131, 0.6848, 0.7394], q:[0.7717, 0.5434], qb:[0.4889, 0.3697], phi:[0.4566]] | [M:[[13], [-4], [5], [-5], [-14], [4], [3], [12]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{8}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}^{2}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$ | ${}M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.055 + t^2.218 + t^2.412 + t^2.576 + 2*t^2.739 + t^2.903 + t^3.424 + t^3.945 + 2*t^4.109 + t^4.273 + t^4.303 + t^4.436 + 2*t^4.467 + 3*t^4.63 + 3*t^4.794 + t^4.824 + 3*t^4.957 + t^4.988 + t^5.121 + 3*t^5.152 + 3*t^5.315 + 4*t^5.479 + 2*t^5.642 + t^5.806 - t^6. + 3*t^6.164 + 3*t^6.327 + t^6.358 + t^6.491 + 2*t^6.521 + t^6.654 + 4*t^6.685 + t^6.715 + 6*t^6.848 + 3*t^6.879 + 4*t^7.012 + 5*t^7.043 + 3*t^7.176 + 4*t^7.206 + t^7.237 + t^7.339 + 6*t^7.37 + t^7.4 + 7*t^7.533 + 2*t^7.564 + 5*t^7.697 + 2*t^7.727 + 3*t^7.86 + 2*t^7.891 + t^8.024 + 2*t^8.055 + 5*t^8.218 + 5*t^8.382 - 3*t^8.412 + 4*t^8.545 - 2*t^8.576 + t^8.606 + 2*t^8.709 + 2*t^8.77 + t^8.872 + 4*t^8.903 + 3*t^8.934 - t^4.37/y - t^6.424/y - t^6.588/y - t^6.782/y - t^7.109/y + (2*t^7.467)/y + (3*t^7.63)/y + (3*t^7.794)/y + (4*t^7.957)/y + t^7.988/y + t^8.121/y + (3*t^8.152)/y + (4*t^8.315)/y + (2*t^8.479)/y + (2*t^8.642)/y - t^8.806/y - t^4.37*y - t^6.424*y - t^6.588*y - t^6.782*y - t^7.109*y + 2*t^7.467*y + 3*t^7.63*y + 3*t^7.794*y + 4*t^7.957*y + t^7.988*y + t^8.121*y + 3*t^8.152*y + 4*t^8.315*y + 2*t^8.479*y + 2*t^8.642*y - t^8.806*y | g1^3*t^2.055 + g1^12*t^2.218 + t^2.412/g1^14 + t^2.576/g1^5 + 2*g1^4*t^2.739 + g1^13*t^2.903 + g1^5*t^3.424 + t^3.945/g1^3 + 2*g1^6*t^4.109 + g1^15*t^4.273 + t^4.303/g1^20 + g1^24*t^4.436 + (2*t^4.467)/g1^11 + (3*t^4.63)/g1^2 + 3*g1^7*t^4.794 + t^4.824/g1^28 + 3*g1^16*t^4.957 + t^4.988/g1^19 + g1^25*t^5.121 + (3*t^5.152)/g1^10 + (3*t^5.315)/g1 + 4*g1^8*t^5.479 + 2*g1^17*t^5.642 + g1^26*t^5.806 - t^6. + 3*g1^9*t^6.164 + 3*g1^18*t^6.327 + t^6.358/g1^17 + g1^27*t^6.491 + (2*t^6.521)/g1^8 + g1^36*t^6.654 + 4*g1*t^6.685 + t^6.715/g1^34 + 6*g1^10*t^6.848 + (3*t^6.879)/g1^25 + 4*g1^19*t^7.012 + (5*t^7.043)/g1^16 + 3*g1^28*t^7.176 + (4*t^7.206)/g1^7 + t^7.237/g1^42 + g1^37*t^7.339 + 6*g1^2*t^7.37 + t^7.4/g1^33 + 7*g1^11*t^7.533 + (2*t^7.564)/g1^24 + 5*g1^20*t^7.697 + (2*t^7.727)/g1^15 + 3*g1^29*t^7.86 + (2*t^7.891)/g1^6 + g1^38*t^8.024 + 2*g1^3*t^8.055 + 5*g1^12*t^8.218 + 5*g1^21*t^8.382 - (3*t^8.412)/g1^14 + 4*g1^30*t^8.545 - (2*t^8.576)/g1^5 + t^8.606/g1^40 + 2*g1^39*t^8.709 + (2*t^8.77)/g1^31 + g1^48*t^8.872 + 4*g1^13*t^8.903 + (3*t^8.934)/g1^22 - (g1^2*t^4.37)/y - (g1^5*t^6.424)/y - (g1^14*t^6.588)/y - t^6.782/(g1^12*y) - (g1^6*t^7.109)/y + (2*t^7.467)/(g1^11*y) + (3*t^7.63)/(g1^2*y) + (3*g1^7*t^7.794)/y + (4*g1^16*t^7.957)/y + t^7.988/(g1^19*y) + (g1^25*t^8.121)/y + (3*t^8.152)/(g1^10*y) + (4*t^8.315)/(g1*y) + (2*g1^8*t^8.479)/y + (2*g1^17*t^8.642)/y - (g1^26*t^8.806)/y - g1^2*t^4.37*y - g1^5*t^6.424*y - g1^14*t^6.588*y - (t^6.782*y)/g1^12 - g1^6*t^7.109*y + (2*t^7.467*y)/g1^11 + (3*t^7.63*y)/g1^2 + 3*g1^7*t^7.794*y + 4*g1^16*t^7.957*y + (t^7.988*y)/g1^19 + g1^25*t^8.121*y + (3*t^8.152*y)/g1^10 + (4*t^8.315*y)/g1 + 2*g1^8*t^8.479*y + 2*g1^17*t^8.642*y - g1^26*t^8.806*y |
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 |
---|---|---|---|---|---|---|---|---|
5687 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7264 | 0.939 | 0.7735 | [M:[0.9668, 1.0871, 1.1411, 0.8589, 0.805, 0.9129, 0.6846, 0.7386, 0.6846], q:[0.7718, 0.5436], qb:[0.4896, 0.3693], phi:[0.4564]] | 2*t^2.054 + t^2.216 + t^2.415 + t^2.577 + 2*t^2.739 + t^2.9 + t^3.423 + 4*t^4.108 + 2*t^4.27 + t^4.307 + t^4.431 + 3*t^4.469 + 4*t^4.631 + 5*t^4.792 + t^4.83 + 4*t^4.954 + t^4.992 + t^5.116 + 3*t^5.154 + 3*t^5.315 + 5*t^5.477 + 2*t^5.639 + t^5.801 - 2*t^6. - t^4.369/y - t^4.369*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 |
---|---|---|---|---|---|---|---|---|---|
2174 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}q_{2}$ | 0.6864 | 0.8636 | 0.7948 | [M:[0.9824, 1.0823, 1.1471, 0.8529, 0.7882, 0.9177, 0.6882], q:[0.7706, 0.5412], qb:[0.4764, 0.3765], phi:[0.4588]] | t^2.065 + t^2.365 + t^2.559 + 2*t^2.753 + t^2.947 + t^3.441 + t^3.741 + t^3.935 + 2*t^4.129 + t^4.235 + 2*t^4.429 + 2*t^4.624 + t^4.729 + 2*t^4.818 + t^4.923 + t^5.012 + 3*t^5.118 + 3*t^5.312 + 4*t^5.506 + t^5.7 + t^5.806 + t^5.894 - t^6. - t^4.376/y - t^4.376*y | detail |