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 |
---|---|---|---|---|---|---|---|---|---|
46959 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6282 | 0.8399 | 0.7479 | [M:[0.9249, 0.6877, 1.2252, 0.7748, 0.6877], q:[0.7312, 0.3438], qb:[0.4309, 0.3438], phi:[0.5375]] | [M:[[-4], [10], [12], [-12], [10]], q:[[-1], [5]], qb:[[-17], [5]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | ${}M_{3}M_{4}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 1 | 3*t^2.063 + 2*t^2.324 + t^2.775 + 2*t^3.225 + t^3.486 + 3*t^3.676 + 6*t^4.126 + t^4.198 + 6*t^4.387 + 3*t^4.649 + 3*t^4.838 + 2*t^5.099 + 6*t^5.288 + 7*t^5.55 + 7*t^5.739 + 2*t^5.811 + t^6. + 10*t^6.189 + t^6.261 + 13*t^6.45 + 2*t^6.522 + 8*t^6.712 + 9*t^6.901 + 5*t^6.973 + 3*t^7.162 + 15*t^7.351 + 3*t^7.423 + 10*t^7.613 + t^7.685 + 12*t^7.802 + 9*t^7.874 - t^8.063 + 3*t^8.135 + 15*t^8.252 - t^8.324 + t^8.396 + 21*t^8.514 + 2*t^8.586 + 12*t^8.775 + 3*t^8.847 + 16*t^8.964 - t^4.613/y - (2*t^6.676)/y + (3*t^7.126)/y + (6*t^7.387)/y + t^7.649/y + (3*t^7.838)/y + (2*t^8.099)/y + (6*t^8.288)/y + (9*t^8.55)/y + (6*t^8.739)/y + (2*t^8.811)/y - t^4.613*y - 2*t^6.676*y + 3*t^7.126*y + 6*t^7.387*y + t^7.649*y + 3*t^7.838*y + 2*t^8.099*y + 6*t^8.288*y + 9*t^8.55*y + 6*t^8.739*y + 2*t^8.811*y | 3*g1^10*t^2.063 + (2*t^2.324)/g1^12 + t^2.775/g1^4 + 2*g1^4*t^3.225 + t^3.486/g1^18 + 3*g1^12*t^3.676 + 6*g1^20*t^4.126 + t^4.198/g1^32 + (6*t^4.387)/g1^2 + (3*t^4.649)/g1^24 + 3*g1^6*t^4.838 + (2*t^5.099)/g1^16 + 6*g1^14*t^5.288 + (7*t^5.55)/g1^8 + 7*g1^22*t^5.739 + (2*t^5.811)/g1^30 + t^6. + 10*g1^30*t^6.189 + t^6.261/g1^22 + 13*g1^8*t^6.45 + (2*t^6.522)/g1^44 + (8*t^6.712)/g1^14 + 9*g1^16*t^6.901 + (5*t^6.973)/g1^36 + (3*t^7.162)/g1^6 + 15*g1^24*t^7.351 + (3*t^7.423)/g1^28 + 10*g1^2*t^7.613 + t^7.685/g1^50 + 12*g1^32*t^7.802 + (9*t^7.874)/g1^20 - g1^10*t^8.063 + (3*t^8.135)/g1^42 + 15*g1^40*t^8.252 - t^8.324/g1^12 + t^8.396/g1^64 + 21*g1^18*t^8.514 + (2*t^8.586)/g1^34 + (12*t^8.775)/g1^4 + (3*t^8.847)/g1^56 + 16*g1^26*t^8.964 - (g1^2*t^4.613)/y - (2*g1^12*t^6.676)/y + (3*g1^20*t^7.126)/y + (6*t^7.387)/(g1^2*y) + t^7.649/(g1^24*y) + (3*g1^6*t^7.838)/y + (2*t^8.099)/(g1^16*y) + (6*g1^14*t^8.288)/y + (9*t^8.55)/(g1^8*y) + (6*g1^22*t^8.739)/y + (2*t^8.811)/(g1^30*y) - g1^2*t^4.613*y - 2*g1^12*t^6.676*y + 3*g1^20*t^7.126*y + (6*t^7.387*y)/g1^2 + (t^7.649*y)/g1^24 + 3*g1^6*t^7.838*y + (2*t^8.099*y)/g1^16 + 6*g1^14*t^8.288*y + (9*t^8.55*y)/g1^8 + 6*g1^22*t^8.739*y + (2*t^8.811*y)/g1^30 |
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 |
---|---|---|---|---|---|---|---|---|
50901 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.6214 | 0.8287 | 0.7498 | [M:[0.9268, 0.6831, 1.2197, 0.7803, 0.6831, 1.0732], q:[0.7317, 0.3416], qb:[0.4387, 0.3416], phi:[0.5366]] | 3*t^2.049 + 2*t^2.341 + 3*t^3.22 + t^3.511 + 3*t^3.659 + 6*t^4.099 + t^4.242 + 6*t^4.39 + 3*t^4.682 + 9*t^5.269 + 8*t^5.561 + 7*t^5.709 + 2*t^5.852 - t^6. - t^4.61/y - t^4.61*y | detail | |
52543 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6432 | 0.8672 | 0.7416 | [M:[0.9308, 0.6729, 1.2075, 0.7925, 0.6729, 0.8112], q:[0.7327, 0.3364], qb:[0.4561, 0.3364], phi:[0.5346]] | 3*t^2.019 + 2*t^2.378 + t^2.434 + t^2.793 + 2*t^3.207 + 3*t^3.622 + 6*t^4.037 + t^4.34 + 6*t^4.396 + 3*t^4.452 + 3*t^4.755 + 5*t^4.811 + t^4.867 + 2*t^5.17 + 7*t^5.226 + 4*t^5.585 + 9*t^5.641 + t^6. - t^4.604/y - t^4.604*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 |
---|---|---|---|---|---|---|---|---|---|
46421 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.6075 | 0.7997 | 0.7596 | [M:[0.9243, 0.6893, 1.2271, 0.7729], q:[0.7311, 0.3446], qb:[0.4283, 0.3446], phi:[0.5379]] | 2*t^2.068 + 2*t^2.319 + t^2.773 + 2*t^3.227 + t^3.478 + 3*t^3.681 + t^3.932 + 3*t^4.136 + t^4.183 + 4*t^4.386 + 3*t^4.637 + 2*t^4.841 + 2*t^5.092 + 4*t^5.295 + 6*t^5.546 + 4*t^5.749 + 2*t^5.797 + 3*t^6. - t^4.614/y - t^4.614*y | detail |