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 |
---|---|---|---|---|---|---|---|---|---|
4580 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ | 0.6952 | 0.8535 | 0.8146 | [M:[1.0091, 0.9728, 1.0272, 0.9547, 1.0453, 1.0091, 0.9728, 0.9547], q:[0.5045, 0.4864], qb:[0.4683, 0.5589], phi:[0.4955]] | [M:[[2], [-6], [6], [-10], [10], [2], [-6], [-10]], q:[[1], [-3]], qb:[[-7], [13]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{8}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{7}$ | ${}$ | -4 | 2*t^2.864 + 2*t^2.919 + 2*t^3.027 + t^3.19 + t^4.296 + t^4.351 + 2*t^4.405 + t^4.459 + t^4.514 + t^4.568 + t^4.622 + t^4.677 + t^4.84 + 2*t^5.728 + 3*t^5.783 + 2*t^5.837 + 3*t^5.891 + 2*t^5.946 - 4*t^6. + 2*t^6.054 + t^6.109 - t^6.163 + t^6.217 - t^6.272 + t^6.38 + 2*t^7.16 + 3*t^7.215 + 4*t^7.269 + 5*t^7.323 + 3*t^7.378 + 3*t^7.432 + t^7.486 + t^7.541 + 2*t^7.595 + 2*t^7.704 + t^7.758 + 2*t^7.867 + t^8.03 + 3*t^8.593 + 4*t^8.647 + 5*t^8.701 + 6*t^8.756 + 4*t^8.81 - 3*t^8.864 - 3*t^8.919 + 2*t^8.973 - t^4.486/y - t^7.351/y - t^7.405/y + t^7.459/y - t^7.514/y + t^7.568/y + t^7.622/y + t^8.728/y + (4*t^8.783)/y + t^8.837/y + (4*t^8.891)/y + (4*t^8.946)/y - t^4.486*y - t^7.351*y - t^7.405*y + t^7.459*y - t^7.514*y + t^7.568*y + t^7.622*y + t^8.728*y + 4*t^8.783*y + t^8.837*y + 4*t^8.891*y + 4*t^8.946*y | (2*t^2.864)/g1^10 + (2*t^2.919)/g1^6 + 2*g1^2*t^3.027 + g1^14*t^3.19 + t^4.296/g1^15 + t^4.351/g1^11 + (2*t^4.405)/g1^7 + t^4.459/g1^3 + g1*t^4.514 + g1^5*t^4.568 + g1^9*t^4.622 + g1^13*t^4.677 + g1^25*t^4.84 + (2*t^5.728)/g1^20 + (3*t^5.783)/g1^16 + (2*t^5.837)/g1^12 + (3*t^5.891)/g1^8 + (2*t^5.946)/g1^4 - 4*t^6. + 2*g1^4*t^6.054 + g1^8*t^6.109 - g1^12*t^6.163 + g1^16*t^6.217 - g1^20*t^6.272 + g1^28*t^6.38 + (2*t^7.16)/g1^25 + (3*t^7.215)/g1^21 + (4*t^7.269)/g1^17 + (5*t^7.323)/g1^13 + (3*t^7.378)/g1^9 + (3*t^7.432)/g1^5 + t^7.486/g1 + g1^3*t^7.541 + 2*g1^7*t^7.595 + 2*g1^15*t^7.704 + g1^19*t^7.758 + 2*g1^27*t^7.867 + g1^39*t^8.03 + (3*t^8.593)/g1^30 + (4*t^8.647)/g1^26 + (5*t^8.701)/g1^22 + (6*t^8.756)/g1^18 + (4*t^8.81)/g1^14 - (3*t^8.864)/g1^10 - (3*t^8.919)/g1^6 + (2*t^8.973)/g1^2 - t^4.486/(g1*y) - t^7.351/(g1^11*y) - t^7.405/(g1^7*y) + t^7.459/(g1^3*y) - (g1*t^7.514)/y + (g1^5*t^7.568)/y + (g1^9*t^7.622)/y + t^8.728/(g1^20*y) + (4*t^8.783)/(g1^16*y) + t^8.837/(g1^12*y) + (4*t^8.891)/(g1^8*y) + (4*t^8.946)/(g1^4*y) - (t^4.486*y)/g1 - (t^7.351*y)/g1^11 - (t^7.405*y)/g1^7 + (t^7.459*y)/g1^3 - g1*t^7.514*y + g1^5*t^7.568*y + g1^9*t^7.622*y + (t^8.728*y)/g1^20 + (4*t^8.783*y)/g1^16 + (t^8.837*y)/g1^12 + (4*t^8.891*y)/g1^8 + (4*t^8.946*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
6102 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.7032 | 0.8696 | 0.8086 | [M:[1.0155, 0.9534, 1.0466, 0.9223, 1.0777, 1.0155, 0.9534, 0.9223, 0.8912], q:[0.5078, 0.4767], qb:[0.4456, 0.601], phi:[0.4922]] | t^2.674 + 2*t^2.767 + 2*t^2.86 + 2*t^3.047 + t^4.15 + t^4.244 + 2*t^4.337 + t^4.43 + t^4.523 + t^4.617 + t^4.71 + t^4.803 + t^5.083 + t^5.347 + 2*t^5.441 + 4*t^5.534 + 3*t^5.627 + 4*t^5.72 + 3*t^5.814 + 2*t^5.907 - 4*t^6. - t^4.477/y - t^4.477*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 |
---|---|---|---|---|---|---|---|---|---|
2526 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.6922 | 0.8481 | 0.8162 | [M:[1.0041, 0.9878, 1.0122, 0.9797, 1.0203, 1.0041, 0.9878], q:[0.502, 0.4939], qb:[0.4858, 0.5264], phi:[0.498]] | t^2.939 + 2*t^2.963 + 2*t^3.012 + t^3.061 + t^3.085 + t^4.409 + t^4.433 + 2*t^4.457 + t^4.482 + t^4.506 + t^4.53 + t^4.555 + t^4.579 + t^4.652 + t^5.903 + 2*t^5.927 + t^5.951 + 2*t^5.976 - 3*t^6. - t^4.494/y - t^4.494*y | detail |