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 |
---|---|---|---|---|---|---|---|---|---|
1773 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6384 | 0.7923 | 0.8057 | [M:[0.7685, 0.8473, 0.6897, 1.1527], q:[0.7685, 0.463], qb:[0.3842, 0.8473], phi:[0.3842]] | [M:[[-2], [3], [-7], [-3]], q:[[-2], [4]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 2 | t^2.069 + 2*t^2.305 + t^2.542 + 2*t^3.458 + 2*t^3.695 + t^3.931 + t^4.138 + 2*t^4.375 + 4*t^4.611 + 3*t^4.847 + t^5.084 + 2*t^5.527 + 4*t^5.764 + 2*t^6. + t^6.208 + 2*t^6.236 + 2*t^6.444 + t^6.473 + 4*t^6.68 + 8*t^6.916 + 4*t^7.153 + t^7.389 + 2*t^7.597 + t^7.625 + 4*t^7.833 + t^7.862 + 4*t^8.069 + t^8.277 + t^8.305 + 2*t^8.513 - t^8.542 + 4*t^8.749 + t^8.778 + 8*t^8.986 - t^4.153/y - t^6.222/y - (2*t^6.458)/y + (2*t^7.375)/y + (2*t^7.611)/y + (4*t^7.847)/y + t^8.084/y - t^8.291/y + (3*t^8.764)/y - t^4.153*y - t^6.222*y - 2*t^6.458*y + 2*t^7.375*y + 2*t^7.611*y + 4*t^7.847*y + t^8.084*y - t^8.291*y + 3*t^8.764*y | t^2.069/g1^7 + (2*t^2.305)/g1^2 + g1^3*t^2.542 + (2*t^3.458)/g1^3 + 2*g1^2*t^3.695 + g1^7*t^3.931 + t^4.138/g1^14 + (2*t^4.375)/g1^9 + (4*t^4.611)/g1^4 + 3*g1*t^4.847 + g1^6*t^5.084 + (2*t^5.527)/g1^10 + (4*t^5.764)/g1^5 + 2*t^6. + t^6.208/g1^21 + 2*g1^5*t^6.236 + (2*t^6.444)/g1^16 + g1^10*t^6.473 + (4*t^6.68)/g1^11 + (8*t^6.916)/g1^6 + (4*t^7.153)/g1 + g1^4*t^7.389 + (2*t^7.597)/g1^17 + g1^9*t^7.625 + (4*t^7.833)/g1^12 + g1^14*t^7.862 + (4*t^8.069)/g1^7 + t^8.277/g1^28 + t^8.305/g1^2 + (2*t^8.513)/g1^23 - g1^3*t^8.542 + (4*t^8.749)/g1^18 + g1^8*t^8.778 + (8*t^8.986)/g1^13 - t^4.153/(g1*y) - t^6.222/(g1^8*y) - (2*t^6.458)/(g1^3*y) + (2*t^7.375)/(g1^9*y) + (2*t^7.611)/(g1^4*y) + (4*g1*t^7.847)/y + (g1^6*t^8.084)/y - t^8.291/(g1^15*y) + (3*t^8.764)/(g1^5*y) - (t^4.153*y)/g1 - (t^6.222*y)/g1^8 - (2*t^6.458*y)/g1^3 + (2*t^7.375*y)/g1^9 + (2*t^7.611*y)/g1^4 + 4*g1*t^7.847*y + g1^6*t^8.084*y - (t^8.291*y)/g1^15 + (3*t^8.764*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
2774 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6591 | 0.8331 | 0.7912 | [M:[0.7667, 0.85, 0.6833, 1.15, 0.6833], q:[0.7667, 0.4667], qb:[0.3833, 0.85], phi:[0.3833]] | 2*t^2.05 + 2*t^2.3 + t^2.55 + 2*t^3.45 + 2*t^3.7 + 3*t^4.1 + 4*t^4.35 + 5*t^4.6 + 3*t^4.85 + t^5.1 + 4*t^5.5 + 6*t^5.75 + t^6. - t^4.15/y - t^4.15*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 |
---|---|---|---|---|---|---|---|---|---|
329 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ | 0.7203 | 0.8807 | 0.8179 | [M:[0.9045, 1.0186, 0.7904, 0.9814], q:[0.5292, 0.5663], qb:[0.4522, 0.6433], phi:[0.4522]] | t^2.371 + 2*t^2.713 + t^2.944 + t^3.056 + t^3.287 + t^3.517 + t^4.07 + t^4.301 + t^4.412 + t^4.532 + 2*t^4.643 + t^4.742 + t^4.755 + t^4.874 + t^4.986 + 2*t^5.085 + t^5.216 + t^5.316 + 3*t^5.427 + t^5.658 + t^5.889 - t^6. - t^4.357/y - t^4.357*y | detail |