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 |
---|---|---|---|---|---|---|---|---|---|
52187 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 0.6895 | 0.8678 | 0.7945 | [M:[1.1471, 0.9853, 0.8529, 0.7206, 0.7206, 0.8529], q:[0.3603, 0.4927], qb:[0.6544, 0.7868], phi:[0.4265]] | [M:[[4], [-14], [-4], [6], [6], [-4]], q:[[3], [-7]], qb:[[11], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$ | ${}M_{6}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 2 | 2*t^2.162 + 3*t^2.559 + t^2.956 + 2*t^3.441 + t^4.235 + 5*t^4.323 + 7*t^4.721 + 7*t^5.118 + t^5.206 + 2*t^5.515 + 3*t^5.603 + t^5.912 + 2*t^6. + 7*t^6.485 + 2*t^6.794 + 13*t^6.882 + t^7.191 + 12*t^7.279 + 2*t^7.367 + 10*t^7.677 + 7*t^7.765 + 5*t^8.074 - 2*t^8.162 + 3*t^8.471 - 4*t^8.559 + 11*t^8.647 + t^8.868 - 3*t^8.956 - t^4.279/y - (2*t^6.441)/y - (2*t^6.838)/y - t^7.235/y + (2*t^7.323)/y + (8*t^7.721)/y + (7*t^8.118)/y + (3*t^8.515)/y + t^8.603/y - t^4.279*y - 2*t^6.441*y - 2*t^6.838*y - t^7.235*y + 2*t^7.323*y + 8*t^7.721*y + 7*t^8.118*y + 3*t^8.515*y + t^8.603*y | 2*g1^6*t^2.162 + (3*t^2.559)/g1^4 + t^2.956/g1^14 + 2*g1^4*t^3.441 + t^4.235/g1^16 + 5*g1^12*t^4.323 + 7*g1^2*t^4.721 + (7*t^5.118)/g1^8 + g1^20*t^5.206 + (2*t^5.515)/g1^18 + 3*g1^10*t^5.603 + t^5.912/g1^28 + 2*t^6. + 7*g1^18*t^6.485 + (2*t^6.794)/g1^20 + 13*g1^8*t^6.882 + t^7.191/g1^30 + (12*t^7.279)/g1^2 + 2*g1^26*t^7.367 + (10*t^7.677)/g1^12 + 7*g1^16*t^7.765 + (5*t^8.074)/g1^22 - 2*g1^6*t^8.162 + (3*t^8.471)/g1^32 - (4*t^8.559)/g1^4 + 11*g1^24*t^8.647 + t^8.868/g1^42 - (3*t^8.956)/g1^14 - t^4.279/(g1^2*y) - (2*g1^4*t^6.441)/y - (2*t^6.838)/(g1^6*y) - t^7.235/(g1^16*y) + (2*g1^12*t^7.323)/y + (8*g1^2*t^7.721)/y + (7*t^8.118)/(g1^8*y) + (3*t^8.515)/(g1^18*y) + (g1^10*t^8.603)/y - (t^4.279*y)/g1^2 - 2*g1^4*t^6.441*y - (2*t^6.838*y)/g1^6 - (t^7.235*y)/g1^16 + 2*g1^12*t^7.323*y + 8*g1^2*t^7.721*y + (7*t^8.118*y)/g1^8 + (3*t^8.515*y)/g1^18 + g1^10*t^8.603*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 |
---|---|---|---|---|---|---|---|---|
56422 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.7025 | 0.89 | 0.7893 | [M:[1.151, 0.9714, 0.849, 0.7265, 0.7265, 0.849, 0.849], q:[0.3633, 0.4857], qb:[0.6653, 0.7878], phi:[0.4245]] | 2*t^2.18 + 4*t^2.547 + t^2.914 + t^3.453 + t^4.188 + 5*t^4.359 + 9*t^4.727 + 11*t^5.094 + t^5.265 + 3*t^5.461 + t^5.633 + t^5.828 - t^4.273/y - t^4.273*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 |
---|---|---|---|---|---|---|---|---|---|
48292 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{6}$ | 0.6955 | 0.8765 | 0.7936 | [M:[1.1646, 1.013, 0.8354, 0.7766, 0.7172, 0.8354], q:[0.3883, 0.4471], qb:[0.5987, 0.7763], phi:[0.4474]] | t^2.152 + t^2.33 + 2*t^2.506 + t^2.684 + t^3.039 + t^3.137 + t^3.672 + t^4.025 + t^4.125 + 2*t^4.303 + t^4.48 + t^4.481 + 2*t^4.658 + t^4.66 + 3*t^4.836 + t^4.934 + 3*t^5.012 + t^5.014 + 3*t^5.191 + t^5.289 + t^5.369 + t^5.467 + t^5.545 + 2*t^5.644 + t^5.723 + t^5.822 - 3*t^6. - t^4.342/y - t^4.342*y | detail |