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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56524 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.6864 | 0.8636 | 0.7948 | [M:[1.1471, 0.9824, 1.0823, 0.8529, 0.6882, 0.7882, 0.9177], q:[0.4764, 0.3765], qb:[0.5412, 0.7706], phi:[0.4588]] | [M:[[-5], [-13], [4], [5], [-3], [14], [-4]], q:[[11], [-6]], qb:[[2], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$ | ${}M_{5}\phi_{1}q_{1}q_{2}$ | -1 | 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^6.106 + 2*t^6.194 + 2*t^6.3 + t^6.388 + 3*t^6.494 + t^6.6 + 3*t^6.688 + 3*t^6.794 + 3*t^6.882 + 4*t^6.988 + t^7.077 + t^7.094 + 4*t^7.182 + t^7.288 + 3*t^7.376 + 3*t^7.482 + 4*t^7.571 + 3*t^7.676 + t^7.765 + 4*t^7.871 + t^7.959 + t^7.976 + 2*t^8.065 + 2*t^8.17 + 6*t^8.259 - t^8.365 + 2*t^8.453 + 2*t^8.47 - t^8.559 + t^8.647 + 3*t^8.664 - t^8.753 + t^8.842 + 5*t^8.859 + t^8.964 - t^4.376/y - t^6.441/y - t^6.741/y - t^7.129/y - t^7.324/y + (2*t^7.429)/y + (2*t^7.624)/y + (2*t^7.818)/y + t^7.923/y + (2*t^8.012)/y + (2*t^8.118)/y + (4*t^8.312)/y + (2*t^8.506)/y + (2*t^8.7)/y + t^8.806/y - t^4.376*y - t^6.441*y - t^6.741*y - t^7.129*y - t^7.324*y + 2*t^7.429*y + 2*t^7.624*y + 2*t^7.818*y + t^7.923*y + 2*t^8.012*y + 2*t^8.118*y + 4*t^8.312*y + 2*t^8.506*y + 2*t^8.7*y + t^8.806*y | t^2.065/g1^3 + g1^14*t^2.365 + g1^5*t^2.559 + (2*t^2.753)/g1^4 + t^2.947/g1^13 + t^3.441/g1^5 + g1^12*t^3.741 + g1^3*t^3.935 + (2*t^4.129)/g1^6 + g1^20*t^4.235 + 2*g1^11*t^4.429 + 2*g1^2*t^4.624 + g1^28*t^4.729 + (2*t^4.818)/g1^7 + g1^19*t^4.923 + t^5.012/g1^16 + 3*g1^10*t^5.118 + 3*g1*t^5.312 + (4*t^5.506)/g1^8 + t^5.7/g1^17 + g1^9*t^5.806 + t^5.894/g1^26 - t^6. + g1^26*t^6.106 + (2*t^6.194)/g1^9 + 2*g1^17*t^6.3 + t^6.388/g1^18 + 3*g1^8*t^6.494 + g1^34*t^6.6 + (3*t^6.688)/g1 + 3*g1^25*t^6.794 + (3*t^6.882)/g1^10 + 4*g1^16*t^6.988 + t^7.077/g1^19 + g1^42*t^7.094 + 4*g1^7*t^7.182 + g1^33*t^7.288 + (3*t^7.376)/g1^2 + 3*g1^24*t^7.482 + (4*t^7.571)/g1^11 + 3*g1^15*t^7.676 + t^7.765/g1^20 + 4*g1^6*t^7.871 + t^7.959/g1^29 + g1^32*t^7.976 + (2*t^8.065)/g1^3 + 2*g1^23*t^8.17 + (6*t^8.259)/g1^12 - g1^14*t^8.365 + (2*t^8.453)/g1^21 + 2*g1^40*t^8.47 - g1^5*t^8.559 + t^8.647/g1^30 + 3*g1^31*t^8.664 - t^8.753/g1^4 + t^8.842/g1^39 + 5*g1^22*t^8.859 + g1^48*t^8.964 - t^4.376/(g1^2*y) - t^6.441/(g1^5*y) - (g1^12*t^6.741)/y - t^7.129/(g1^6*y) - t^7.324/(g1^15*y) + (2*g1^11*t^7.429)/y + (2*g1^2*t^7.624)/y + (2*t^7.818)/(g1^7*y) + (g1^19*t^7.923)/y + (2*t^8.012)/(g1^16*y) + (2*g1^10*t^8.118)/y + (4*g1*t^8.312)/y + (2*t^8.506)/(g1^8*y) + (2*t^8.7)/(g1^17*y) + (g1^9*t^8.806)/y - (t^4.376*y)/g1^2 - (t^6.441*y)/g1^5 - g1^12*t^6.741*y - (t^7.129*y)/g1^6 - (t^7.324*y)/g1^15 + 2*g1^11*t^7.429*y + 2*g1^2*t^7.624*y + (2*t^7.818*y)/g1^7 + g1^19*t^7.923*y + (2*t^8.012*y)/g1^16 + 2*g1^10*t^8.118*y + 4*g1*t^8.312*y + (2*t^8.506*y)/g1^8 + (2*t^8.7*y)/g1^17 + g1^9*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 |
---|---|---|---|---|---|---|---|---|
58652 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{1}M_{8}$ | 0.6995 | 0.8867 | 0.7889 | [M:[1.1519, 0.9948, 1.0785, 0.8481, 0.6911, 0.7748, 0.9215, 0.8481], q:[0.4659, 0.3822], qb:[0.5393, 0.7696], phi:[0.4607]] | t^2.073 + t^2.324 + 2*t^2.544 + 2*t^2.764 + t^2.984 + t^3.707 + t^3.927 + 2*t^4.147 + t^4.178 + 2*t^4.398 + 3*t^4.618 + t^4.649 + 2*t^4.838 + 2*t^4.869 + t^5.058 + 5*t^5.089 + 5*t^5.309 + 4*t^5.529 + t^5.749 + t^5.969 - 2*t^6. - t^4.382/y - t^4.382*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 |
---|---|---|---|---|---|---|---|---|---|
54072 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.679 | 0.8518 | 0.7972 | [M:[1.1516, 0.9942, 1.0787, 0.8484, 0.691, 0.7754], q:[0.4664, 0.382], qb:[0.5393, 0.7697], phi:[0.4607]] | t^2.073 + t^2.326 + t^2.545 + t^2.764 + t^2.983 + t^3.236 + t^3.455 + t^3.708 + t^3.927 + 2*t^4.146 + t^4.18 + 2*t^4.399 + 2*t^4.618 + t^4.653 + t^4.837 + t^4.871 + t^5.056 + 2*t^5.09 + 3*t^5.309 + 2*t^5.528 + t^5.562 + 2*t^5.781 + t^5.965 - t^4.382/y - t^4.382*y | detail |