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 |
---|---|---|---|---|---|---|---|---|---|
1865 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}X_{1}$ | 0.6393 | 0.7913 | 0.808 | [X:[1.4928], M:[0.8612, 1.2153, 0.5072, 0.7847, 0.8612], q:[0.3541, 0.7847], qb:[0.4306, 0.7081], phi:[0.4306]] | [X:[[7]], M:[[-4], [-1], [-7], [1], [-4]], q:[[3], [1]], qb:[[-2], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}M_{5}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ | 1 | t^2.354 + 3*t^2.584 + t^3.187 + t^3.416 + 2*t^3.646 + t^3.876 + 2*t^4.479 + 2*t^4.708 + 2*t^4.938 + 5*t^5.167 + 2*t^5.541 + 3*t^5.77 + t^6. + 3*t^6.23 + t^6.373 + 2*t^6.459 + t^6.603 + t^6.833 + 4*t^7.062 + 3*t^7.292 + 3*t^7.521 + 2*t^7.665 + 9*t^7.751 + 2*t^7.895 + 4*t^8.124 + 2*t^8.354 - 2*t^8.584 + 2*t^8.727 + 2*t^8.813 + 4*t^8.957 - t^4.292/y - (3*t^6.876)/y + (3*t^7.708)/y + (3*t^7.938)/y + (3*t^8.167)/y + t^8.541/y + (4*t^8.77)/y - t^4.292*y - 3*t^6.876*y + 3*t^7.708*y + 3*t^7.938*y + 3*t^8.167*y + t^8.541*y + 4*t^8.77*y | g1*t^2.354 + (3*t^2.584)/g1^4 + g1^9*t^3.187 + g1^4*t^3.416 + (2*t^3.646)/g1 + t^3.876/g1^6 + 2*g1^7*t^4.479 + 2*g1^2*t^4.708 + (2*t^4.938)/g1^3 + (5*t^5.167)/g1^8 + 2*g1^10*t^5.541 + 3*g1^5*t^5.77 + t^6. + (3*t^6.23)/g1^5 + g1^18*t^6.373 + (2*t^6.459)/g1^10 + g1^13*t^6.603 + g1^8*t^6.833 + 4*g1^3*t^7.062 + (3*t^7.292)/g1^2 + (3*t^7.521)/g1^7 + 2*g1^16*t^7.665 + (9*t^7.751)/g1^12 + 2*g1^11*t^7.895 + 4*g1^6*t^8.124 + 2*g1*t^8.354 - (2*t^8.584)/g1^4 + 2*g1^19*t^8.727 + (2*t^8.813)/g1^9 + 4*g1^14*t^8.957 - t^4.292/(g1^2*y) - (3*t^6.876)/(g1^6*y) + (3*g1^2*t^7.708)/y + (3*t^7.938)/(g1^3*y) + (3*t^8.167)/(g1^8*y) + (g1^10*t^8.541)/y + (4*g1^5*t^8.77)/y - (t^4.292*y)/g1^2 - (3*t^6.876*y)/g1^6 + 3*g1^2*t^7.708*y + (3*t^7.938*y)/g1^3 + (3*t^8.167*y)/g1^8 + g1^10*t^8.541*y + 4*g1^5*t^8.77*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 |
---|---|---|---|---|---|---|---|---|
2876 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6522 | 0.8132 | 0.802 | [X:[1.5182], M:[0.8467, 1.2117, 0.4818, 0.7883, 0.8467, 0.8467], q:[0.365, 0.7883], qb:[0.4234, 0.7299], phi:[0.4234]] | t^2.365 + 4*t^2.54 + t^3.285 + 2*t^3.635 + t^3.81 + 2*t^4.555 + 2*t^4.73 + 3*t^4.905 + 9*t^5.08 + 2*t^5.65 + 3*t^5.825 - 2*t^6. - t^4.27/y - t^4.27*y | detail | |
2877 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6598 | 0.8306 | 0.7944 | [X:[1.4837], M:[0.8664, 1.2166, 0.5163, 0.7834, 0.8664, 0.7003], q:[0.3502, 0.7834], qb:[0.4332, 0.7003], phi:[0.4332]] | t^2.101 + t^2.35 + 3*t^2.599 + t^3.151 + t^3.401 + 2*t^3.65 + t^4.202 + 3*t^4.451 + 5*t^4.7 + 2*t^4.95 + 5*t^5.199 + t^5.252 + 3*t^5.502 + 5*t^5.751 + t^6. - t^4.3/y - t^4.3*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 |
---|---|---|---|---|---|---|---|---|---|
515 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7296 | 0.8971 | 0.8133 | [M:[0.8907, 1.0158, 0.7657, 0.9842, 0.8907], q:[0.5389, 0.5704], qb:[0.4454, 0.6639], phi:[0.4454]] | t^2.297 + 3*t^2.672 + t^2.953 + t^3.047 + t^3.608 + t^4.008 + t^4.289 + t^4.383 + t^4.569 + t^4.594 + 2*t^4.664 + t^4.759 + t^4.944 + 3*t^4.969 + t^5.039 + t^5.25 + t^5.32 + 6*t^5.344 + t^5.625 + t^5.72 + t^5.905 - 3*t^6. - t^4.336/y - t^4.336*y | detail |