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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57587 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6898 | 0.8773 | 0.7863 | [M:[1.1141, 1.1414, 0.8859, 0.6849, 0.8586, 0.8859, 0.7122], q:[0.3424, 0.5434], qb:[0.5161, 0.7717], phi:[0.4566]] | [M:[[-1], [-10], [1], [-6], [10], [1], [-15]], q:[[-3], [4]], qb:[[13], [2]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{7}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$ | ${}M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ | -1 | t^2.055 + t^2.136 + t^2.576 + 2*t^2.658 + t^2.739 + t^3.179 + t^3.424 + t^3.945 + t^4.027 + t^4.109 + t^4.191 + t^4.273 + t^4.466 + t^4.548 + 2*t^4.63 + 3*t^4.712 + 3*t^4.794 + t^4.876 + t^5.151 + 3*t^5.233 + 5*t^5.315 + t^5.397 + t^5.479 + t^5.561 + t^5.754 + 2*t^5.836 - t^6. + 2*t^6.082 + 3*t^6.164 + t^6.246 + t^6.328 + t^6.357 + t^6.409 + 3*t^6.603 + 3*t^6.685 + 3*t^6.767 + 4*t^6.849 + 3*t^6.931 + t^7.012 + t^7.042 + 3*t^7.124 + 4*t^7.206 + 3*t^7.288 + 6*t^7.37 + 6*t^7.452 + 2*t^7.534 + t^7.615 + t^7.645 + t^7.697 + t^7.727 + 2*t^7.809 + 4*t^7.891 + 5*t^7.973 + t^8.055 - t^8.136 + 4*t^8.218 + 3*t^8.3 + t^8.33 + t^8.382 + 3*t^8.412 + t^8.464 + 3*t^8.494 + t^8.546 - 3*t^8.576 - 4*t^8.658 + 3*t^8.739 + 4*t^8.821 + 5*t^8.903 + 2*t^8.933 + 4*t^8.985 - t^4.37/y - t^6.424/y - t^6.506/y - t^7.027/y - t^7.109/y + t^7.191/y + (2*t^7.63)/y + (4*t^7.712)/y + (3*t^7.794)/y + t^7.876/y + (4*t^8.233)/y + (4*t^8.315)/y + (2*t^8.397)/y - t^8.643/y + t^8.754/y + (2*t^8.836)/y + t^8.918/y - t^4.37*y - t^6.424*y - t^6.506*y - t^7.027*y - t^7.109*y + t^7.191*y + 2*t^7.63*y + 4*t^7.712*y + 3*t^7.794*y + t^7.876*y + 4*t^8.233*y + 4*t^8.315*y + 2*t^8.397*y - t^8.643*y + t^8.754*y + 2*t^8.836*y + t^8.918*y | t^2.055/g1^6 + t^2.136/g1^15 + g1^10*t^2.576 + 2*g1*t^2.658 + t^2.739/g1^8 + g1^17*t^3.179 + t^3.424/g1^10 + g1^6*t^3.945 + t^4.027/g1^3 + t^4.109/g1^12 + t^4.191/g1^21 + t^4.273/g1^30 + g1^22*t^4.466 + g1^13*t^4.548 + 2*g1^4*t^4.63 + (3*t^4.712)/g1^5 + (3*t^4.794)/g1^14 + t^4.876/g1^23 + g1^20*t^5.151 + 3*g1^11*t^5.233 + 5*g1^2*t^5.315 + t^5.397/g1^7 + t^5.479/g1^16 + t^5.561/g1^25 + g1^27*t^5.754 + 2*g1^18*t^5.836 - t^6. + (2*t^6.082)/g1^9 + (3*t^6.164)/g1^18 + t^6.246/g1^27 + t^6.328/g1^36 + g1^34*t^6.357 + t^6.409/g1^45 + 3*g1^7*t^6.603 + (3*t^6.685)/g1^2 + (3*t^6.767)/g1^11 + (4*t^6.849)/g1^20 + (3*t^6.931)/g1^29 + t^7.012/g1^38 + g1^32*t^7.042 + 3*g1^23*t^7.124 + 4*g1^14*t^7.206 + 3*g1^5*t^7.288 + (6*t^7.37)/g1^4 + (6*t^7.452)/g1^13 + (2*t^7.534)/g1^22 + t^7.615/g1^31 + g1^39*t^7.645 + t^7.697/g1^40 + g1^30*t^7.727 + 2*g1^21*t^7.809 + 4*g1^12*t^7.891 + 5*g1^3*t^7.973 + t^8.055/g1^6 - t^8.136/g1^15 + (4*t^8.218)/g1^24 + (3*t^8.3)/g1^33 + g1^37*t^8.33 + t^8.382/g1^42 + 3*g1^28*t^8.412 + t^8.464/g1^51 + 3*g1^19*t^8.494 + t^8.546/g1^60 - 3*g1^10*t^8.576 - 4*g1*t^8.658 + (3*t^8.739)/g1^8 + (4*t^8.821)/g1^17 + (5*t^8.903)/g1^26 + 2*g1^44*t^8.933 + (4*t^8.985)/g1^35 - t^4.37/(g1^4*y) - t^6.424/(g1^10*y) - t^6.506/(g1^19*y) - t^7.027/(g1^3*y) - t^7.109/(g1^12*y) + t^7.191/(g1^21*y) + (2*g1^4*t^7.63)/y + (4*t^7.712)/(g1^5*y) + (3*t^7.794)/(g1^14*y) + t^7.876/(g1^23*y) + (4*g1^11*t^8.233)/y + (4*g1^2*t^8.315)/y + (2*t^8.397)/(g1^7*y) - t^8.643/(g1^34*y) + (g1^27*t^8.754)/y + (2*g1^18*t^8.836)/y + (g1^9*t^8.918)/y - (t^4.37*y)/g1^4 - (t^6.424*y)/g1^10 - (t^6.506*y)/g1^19 - (t^7.027*y)/g1^3 - (t^7.109*y)/g1^12 + (t^7.191*y)/g1^21 + 2*g1^4*t^7.63*y + (4*t^7.712*y)/g1^5 + (3*t^7.794*y)/g1^14 + (t^7.876*y)/g1^23 + 4*g1^11*t^8.233*y + 4*g1^2*t^8.315*y + (2*t^8.397*y)/g1^7 - (t^8.643*y)/g1^34 + g1^27*t^8.754*y + 2*g1^18*t^8.836*y + g1^9*t^8.918*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 |
---|---|---|---|---|---|---|---|---|
58667 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.6812 | 0.8687 | 0.7842 | [M:[1.12, 1.2, 0.88, 0.72, 0.8, 0.88, 0.8], q:[0.36, 0.52], qb:[0.44, 0.76], phi:[0.48]] | t^2.16 + 2*t^2.4 + 2*t^2.64 + 2*t^2.88 + t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 3*t^4.56 + 5*t^4.8 + 6*t^5.04 + 7*t^5.28 + 3*t^5.52 + 2*t^5.76 - t^4.44/y - t^4.44*y | detail | {a: 170307/250000, c: 108591/125000, M1: 28/25, M2: 6/5, M3: 22/25, M4: 18/25, M5: 4/5, M6: 22/25, M7: 4/5, q1: 9/25, q2: 13/25, qb1: 11/25, qb2: 19/25, phi1: 12/25} |
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 |
---|---|---|---|---|---|---|---|---|---|
55923 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ | 0.6697 | 0.84 | 0.7972 | [M:[1.1151, 1.1506, 0.8849, 0.6904, 0.8494, 0.8849], q:[0.3452, 0.5398], qb:[0.5042, 0.7699], phi:[0.4602]] | t^2.071 + t^2.548 + 2*t^2.655 + t^2.761 + t^3.132 + t^3.452 + t^3.822 + t^3.929 + t^4.036 + t^4.142 + t^4.406 + t^4.513 + 2*t^4.619 + 2*t^4.726 + t^4.833 + t^5.096 + 3*t^5.203 + 4*t^5.31 + t^5.416 + t^5.523 + t^5.68 + 2*t^5.787 + t^5.893 - t^6. - t^4.381/y - t^4.381*y | detail |