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 |
|---|---|---|---|---|---|---|---|---|---|
| 2559 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6978 | 0.8853 | 0.7882 | [M:[1.0837, 0.7488, 0.6872, 1.1453, 0.8547, 0.9779, 0.7931], q:[0.5419, 0.3744], qb:[0.7709, 0.4803], phi:[0.4581]] | [M:[[4], [-12], [-3], [-5], [5], [-13], [14]], q:[[2], [-6]], qb:[[1], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{7}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{3}$, ${ }M_{6}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{6}^{2}$ | ${}M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ | 0 | t^2.062 + t^2.246 + t^2.379 + t^2.564 + t^2.749 + t^2.934 + t^3.251 + t^3.436 + t^3.938 + 2*t^4.123 + t^4.256 + t^4.308 + 2*t^4.441 + t^4.493 + 3*t^4.626 + t^4.758 + 2*t^4.81 + t^4.943 + 2*t^4.995 + 2*t^5.128 + t^5.18 + 3*t^5.313 + 3*t^5.498 + t^5.63 + t^5.682 + t^5.815 + t^5.867 + 3*t^6.185 + t^6.318 + 3*t^6.37 + 3*t^6.502 + t^6.554 + t^6.635 + 4*t^6.687 + t^6.739 + 3*t^6.82 + 4*t^6.872 + 4*t^7.005 + 3*t^7.057 + t^7.137 + 3*t^7.19 + 2*t^7.242 + t^7.322 + 5*t^7.374 + t^7.427 + 2*t^7.507 + 5*t^7.559 + 3*t^7.692 + 3*t^7.744 + 2*t^7.877 + 2*t^7.929 + t^8.009 + t^8.062 + t^8.114 + t^8.194 + 3*t^8.246 - t^8.379 + 4*t^8.431 + t^8.512 + t^8.564 + 3*t^8.616 + 2*t^8.697 + 4*t^8.749 + 2*t^8.801 + 4*t^8.882 + 2*t^8.934 + t^8.986 - t^4.374/y - t^6.436/y - t^6.621/y - t^6.754/y + (2*t^7.441)/y + (2*t^7.626)/y + (2*t^7.81)/y + t^7.943/y + (3*t^7.995)/y + (2*t^8.128)/y + t^8.18/y + (4*t^8.313)/y + (2*t^8.498)/y + t^8.63/y + t^8.682/y + t^8.815/y - t^8.867/y - t^4.374*y - t^6.436*y - t^6.621*y - t^6.754*y + 2*t^7.441*y + 2*t^7.626*y + 2*t^7.81*y + t^7.943*y + 3*t^7.995*y + 2*t^8.128*y + t^8.18*y + 4*t^8.313*y + 2*t^8.498*y + t^8.63*y + t^8.682*y + t^8.815*y - t^8.867*y | t^2.062/g1^3 + t^2.246/g1^12 + g1^14*t^2.379 + g1^5*t^2.564 + t^2.749/g1^4 + t^2.934/g1^13 + g1^4*t^3.251 + t^3.436/g1^5 + g1^3*t^3.938 + (2*t^4.123)/g1^6 + g1^20*t^4.256 + t^4.308/g1^15 + 2*g1^11*t^4.441 + t^4.493/g1^24 + 3*g1^2*t^4.626 + g1^28*t^4.758 + (2*t^4.81)/g1^7 + g1^19*t^4.943 + (2*t^4.995)/g1^16 + 2*g1^10*t^5.128 + t^5.18/g1^25 + 3*g1*t^5.313 + (3*t^5.498)/g1^8 + g1^18*t^5.63 + t^5.682/g1^17 + g1^9*t^5.815 + t^5.867/g1^26 + (3*t^6.185)/g1^9 + g1^17*t^6.318 + (3*t^6.37)/g1^18 + 3*g1^8*t^6.502 + t^6.554/g1^27 + g1^34*t^6.635 + (4*t^6.687)/g1 + t^6.739/g1^36 + 3*g1^25*t^6.82 + (4*t^6.872)/g1^10 + 4*g1^16*t^7.005 + (3*t^7.057)/g1^19 + g1^42*t^7.137 + 3*g1^7*t^7.19 + (2*t^7.242)/g1^28 + g1^33*t^7.322 + (5*t^7.374)/g1^2 + t^7.427/g1^37 + 2*g1^24*t^7.507 + (5*t^7.559)/g1^11 + 3*g1^15*t^7.692 + (3*t^7.744)/g1^20 + 2*g1^6*t^7.877 + (2*t^7.929)/g1^29 + g1^32*t^8.009 + t^8.062/g1^3 + t^8.114/g1^38 + g1^23*t^8.194 + (3*t^8.246)/g1^12 - g1^14*t^8.379 + (4*t^8.431)/g1^21 + g1^40*t^8.512 + g1^5*t^8.564 + (3*t^8.616)/g1^30 + 2*g1^31*t^8.697 + (4*t^8.749)/g1^4 + (2*t^8.801)/g1^39 + 4*g1^22*t^8.882 + (2*t^8.934)/g1^13 + t^8.986/g1^48 - t^4.374/(g1^2*y) - t^6.436/(g1^5*y) - t^6.621/(g1^14*y) - (g1^12*t^6.754)/y + (2*g1^11*t^7.441)/y + (2*g1^2*t^7.626)/y + (2*t^7.81)/(g1^7*y) + (g1^19*t^7.943)/y + (3*t^7.995)/(g1^16*y) + (2*g1^10*t^8.128)/y + t^8.18/(g1^25*y) + (4*g1*t^8.313)/y + (2*t^8.498)/(g1^8*y) + (g1^18*t^8.63)/y + t^8.682/(g1^17*y) + (g1^9*t^8.815)/y - t^8.867/(g1^26*y) - (t^4.374*y)/g1^2 - (t^6.436*y)/g1^5 - (t^6.621*y)/g1^14 - g1^12*t^6.754*y + 2*g1^11*t^7.441*y + 2*g1^2*t^7.626*y + (2*t^7.81*y)/g1^7 + g1^19*t^7.943*y + (3*t^7.995*y)/g1^16 + 2*g1^10*t^8.128*y + (t^8.18*y)/g1^25 + 4*g1*t^8.313*y + (2*t^8.498*y)/g1^8 + g1^18*t^8.63*y + (t^8.682*y)/g1^17 + g1^9*t^8.815*y - (t^8.867*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4635 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6903 | 0.8727 | 0.7909 | [M:[1.0806, 0.7583, 0.6896, 1.1493, 0.8507, 0.9882, 0.7819, 1.0806], q:[0.5403, 0.3792], qb:[0.7701, 0.4715], phi:[0.4597]] | t^2.069 + t^2.275 + t^2.346 + t^2.552 + t^2.965 + 2*t^3.242 + t^3.448 + t^3.931 + 2*t^4.137 + t^4.208 + t^4.344 + 2*t^4.415 + t^4.55 + 3*t^4.621 + t^4.692 + t^4.827 + t^4.898 + t^5.033 + t^5.104 + t^5.24 + 3*t^5.31 + 3*t^5.517 + 2*t^5.588 + 2*t^5.794 + t^5.929 - t^6. - t^4.379/y - t^4.379*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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1466 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7387 | 0.9262 | 0.7975 | [M:[1.0564, 0.8307, 0.8871, 1.0, 1.0, 0.8871, 0.6975], q:[0.5282, 0.4153], qb:[0.5847, 0.5847], phi:[0.4718]] | t^2.093 + t^2.492 + 2*t^2.661 + t^2.831 + 2*t^3. + t^3.169 + t^4.185 + t^4.246 + 2*t^4.415 + 2*t^4.585 + 4*t^4.754 + 4*t^4.923 + t^4.984 + 2*t^5.093 + 2*t^5.153 + t^5.262 + 4*t^5.323 + 2*t^5.492 + 5*t^5.661 + 2*t^5.831 - 2*t^6. - t^4.415/y - t^4.415*y | detail |