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 |
---|---|---|---|---|---|---|---|---|---|
1417 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6958 | 0.8525 | 0.8162 | [M:[1.0151, 0.9546, 1.0454, 0.9243, 1.0, 1.0151], q:[0.4697, 0.5151], qb:[0.4849, 0.5606], phi:[0.4924]] | [M:[[2], [-6], [6], [-10], [0], [2]], q:[[-4], [2]], qb:[[-2], [8]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{6}$ | ${}$ | -2 | t^2.773 + t^2.864 + t^3. + 2*t^3.045 + t^3.091 + t^3.136 + t^4.295 + t^4.341 + t^4.386 + t^4.432 + t^4.477 + 2*t^4.568 + t^4.614 + t^4.705 + t^4.841 + t^5.546 + t^5.636 + 2*t^5.818 + 2*t^5.909 - 2*t^6. + t^6.045 + 2*t^6.091 + t^6.136 + 3*t^6.182 + t^7.068 + t^7.114 + 2*t^7.159 + t^7.205 + t^7.25 + t^7.295 + 2*t^7.341 + 3*t^7.386 + 3*t^7.432 + 2*t^7.477 + t^7.523 + t^7.568 + 2*t^7.614 + 2*t^7.659 + 2*t^7.705 + t^7.75 + t^7.841 + t^7.886 + t^7.932 + t^7.977 + t^8.318 + t^8.409 + 3*t^8.591 + t^8.636 + 3*t^8.682 + t^8.727 - t^8.773 - t^8.818 + t^8.864 + 3*t^8.955 - t^4.477/y - t^7.25/y + t^7.432/y - t^7.523/y + t^7.705/y + t^8.636/y + t^8.773/y + (2*t^8.818)/y + (2*t^8.864)/y + (3*t^8.909)/y + t^8.955/y - t^4.477*y - t^7.25*y + t^7.432*y - t^7.523*y + t^7.705*y + t^8.636*y + t^8.773*y + 2*t^8.818*y + 2*t^8.864*y + 3*t^8.909*y + t^8.955*y | t^2.773/g1^10 + t^2.864/g1^6 + t^3. + 2*g1^2*t^3.045 + g1^4*t^3.091 + g1^6*t^3.136 + t^4.295/g1^9 + t^4.341/g1^7 + t^4.386/g1^5 + t^4.432/g1^3 + t^4.477/g1 + 2*g1^3*t^4.568 + g1^5*t^4.614 + g1^9*t^4.705 + g1^15*t^4.841 + t^5.546/g1^20 + t^5.636/g1^16 + (2*t^5.818)/g1^8 + (2*t^5.909)/g1^4 - 2*t^6. + g1^2*t^6.045 + 2*g1^4*t^6.091 + g1^6*t^6.136 + 3*g1^8*t^6.182 + t^7.068/g1^19 + t^7.114/g1^17 + (2*t^7.159)/g1^15 + t^7.205/g1^13 + t^7.25/g1^11 + t^7.295/g1^9 + (2*t^7.341)/g1^7 + (3*t^7.386)/g1^5 + (3*t^7.432)/g1^3 + (2*t^7.477)/g1 + g1*t^7.523 + g1^3*t^7.568 + 2*g1^5*t^7.614 + 2*g1^7*t^7.659 + 2*g1^9*t^7.705 + g1^11*t^7.75 + g1^15*t^7.841 + g1^17*t^7.886 + g1^19*t^7.932 + g1^21*t^7.977 + t^8.318/g1^30 + t^8.409/g1^26 + (3*t^8.591)/g1^18 + t^8.636/g1^16 + (3*t^8.682)/g1^14 + t^8.727/g1^12 - t^8.773/g1^10 - t^8.818/g1^8 + t^8.864/g1^6 + (3*t^8.955)/g1^2 - t^4.477/(g1*y) - t^7.25/(g1^11*y) + t^7.432/(g1^3*y) - (g1*t^7.523)/y + (g1^9*t^7.705)/y + t^8.636/(g1^16*y) + t^8.773/(g1^10*y) + (2*t^8.818)/(g1^8*y) + (2*t^8.864)/(g1^6*y) + (3*t^8.909)/(g1^4*y) + t^8.955/(g1^2*y) - (t^4.477*y)/g1 - (t^7.25*y)/g1^11 + (t^7.432*y)/g1^3 - g1*t^7.523*y + g1^9*t^7.705*y + (t^8.636*y)/g1^16 + (t^8.773*y)/g1^10 + (2*t^8.818*y)/g1^8 + (2*t^8.864*y)/g1^6 + (3*t^8.909*y)/g1^4 + (t^8.955*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
2476 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.701 | 0.8621 | 0.8131 | [M:[1.0222, 0.9333, 1.0667, 0.8888, 1.0, 1.0222, 0.9333], q:[0.4555, 0.5222], qb:[0.4778, 0.5889], phi:[0.4889]] | t^2.667 + 2*t^2.8 + t^3. + 2*t^3.067 + t^3.133 + t^4.2 + t^4.267 + t^4.333 + t^4.4 + t^4.467 + 2*t^4.6 + t^4.667 + t^4.8 + t^5. + t^5.333 + 2*t^5.466 + 2*t^5.6 + 2*t^5.733 + t^5.8 + 3*t^5.867 + t^5.933 - 3*t^6. - t^4.467/y - t^4.467*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 |
---|---|---|---|---|---|---|---|---|---|
924 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.6973 | 0.8552 | 0.8154 | [M:[1.0176, 0.9472, 1.0528, 0.912, 1.0], q:[0.4648, 0.5176], qb:[0.4824, 0.5704], phi:[0.4912]] | t^2.736 + t^2.842 + t^2.947 + t^3. + t^3.053 + t^3.106 + t^3.158 + t^4.262 + t^4.315 + t^4.368 + t^4.421 + t^4.474 + 2*t^4.579 + t^4.632 + t^4.738 + t^4.896 + t^5.472 + t^5.577 + t^5.683 + 2*t^5.789 + 2*t^5.894 + t^5.947 - t^6. - t^4.474/y - t^4.474*y | detail |