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 |
---|---|---|---|---|---|---|---|---|---|
2774 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 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]] | [M:[[-2], [3], [-7], [-3], [-7]], q:[[-2], [4]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | 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. + 4*t^6.15 + 6*t^6.4 + 9*t^6.65 + 11*t^6.9 + 5*t^7.15 - t^7.4 + 6*t^7.55 - t^7.65 + 10*t^7.8 + 4*t^8.05 + 5*t^8.199 - t^8.3 + 8*t^8.449 - 5*t^8.55 + 13*t^8.7 - 2*t^8.8 + 19*t^8.95 - t^4.15/y - (2*t^6.2)/y - (2*t^6.45)/y + t^7.1/y + (4*t^7.35)/y + (3*t^7.6)/y + (4*t^7.85)/y + (2*t^8.1)/y - (3*t^8.25)/y + (5*t^8.75)/y - t^4.15*y - 2*t^6.2*y - 2*t^6.45*y + t^7.1*y + 4*t^7.35*y + 3*t^7.6*y + 4*t^7.85*y + 2*t^8.1*y - 3*t^8.25*y + 5*t^8.75*y | (2*t^2.05)/g1^7 + (2*t^2.3)/g1^2 + g1^3*t^2.55 + (2*t^3.45)/g1^3 + 2*g1^2*t^3.7 + (3*t^4.1)/g1^14 + (4*t^4.35)/g1^9 + (5*t^4.6)/g1^4 + 3*g1*t^4.85 + g1^6*t^5.1 + (4*t^5.5)/g1^10 + (6*t^5.75)/g1^5 + t^6. + (4*t^6.15)/g1^21 + (6*t^6.4)/g1^16 + (9*t^6.65)/g1^11 + (11*t^6.9)/g1^6 + (5*t^7.15)/g1 - g1^4*t^7.4 + (6*t^7.55)/g1^17 - g1^9*t^7.65 + (10*t^7.8)/g1^12 + (4*t^8.05)/g1^7 + (5*t^8.199)/g1^28 - t^8.3/g1^2 + (8*t^8.449)/g1^23 - 5*g1^3*t^8.55 + (13*t^8.7)/g1^18 - 2*g1^8*t^8.8 + (19*t^8.95)/g1^13 - t^4.15/(g1*y) - (2*t^6.2)/(g1^8*y) - (2*t^6.45)/(g1^3*y) + t^7.1/(g1^14*y) + (4*t^7.35)/(g1^9*y) + (3*t^7.6)/(g1^4*y) + (4*g1*t^7.85)/y + (2*g1^6*t^8.1)/y - (3*t^8.25)/(g1^15*y) + (5*t^8.75)/(g1^5*y) - (t^4.15*y)/g1 - (2*t^6.2*y)/g1^8 - (2*t^6.45*y)/g1^3 + (t^7.1*y)/g1^14 + (4*t^7.35*y)/g1^9 + (3*t^7.6*y)/g1^4 + 4*g1*t^7.85*y + 2*g1^6*t^8.1*y - (3*t^8.25*y)/g1^15 + (5*t^8.75*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 |
---|---|---|---|---|---|---|---|---|
3288 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ | 0.6725 | 0.8547 | 0.7868 | [M:[0.7713, 0.8431, 0.6995, 1.1569, 0.6995, 0.8431], q:[0.7713, 0.4574], qb:[0.3856, 0.8431], phi:[0.3856]] | 2*t^2.098 + 2*t^2.314 + 2*t^2.529 + t^3.471 + 2*t^3.686 + 3*t^4.197 + 4*t^4.412 + 7*t^4.628 + 5*t^4.843 + 3*t^5.058 + 2*t^5.569 + 4*t^5.785 + t^6. - t^4.157/y - t^4.157*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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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^4.153/y - t^4.153*y | detail |