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 |
---|---|---|---|---|---|---|---|---|---|
3288 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ | 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]] | [M:[[-2], [3], [-7], [-3], [-7], [3]], q:[[-2], [4]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | 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. + 2*t^6.215 + 4*t^6.295 + 6*t^6.511 + 12*t^6.726 + 13*t^6.942 + 10*t^7.157 + 4*t^7.372 + 2*t^7.588 + 3*t^7.668 + 6*t^7.883 + t^8.098 + 5*t^8.394 - 5*t^8.529 + 8*t^8.609 + 17*t^8.825 - t^4.157/y - (2*t^6.255)/y - (2*t^6.471)/y - t^6.686/y + t^7.197/y + (4*t^7.412)/y + (6*t^7.628)/y + (6*t^7.843)/y + (3*t^8.058)/y - (3*t^8.354)/y - (2*t^8.569)/y + t^8.785/y - t^4.157*y - 2*t^6.255*y - 2*t^6.471*y - t^6.686*y + t^7.197*y + 4*t^7.412*y + 6*t^7.628*y + 6*t^7.843*y + 3*t^8.058*y - 3*t^8.354*y - 2*t^8.569*y + t^8.785*y | (2*t^2.098)/g1^7 + (2*t^2.314)/g1^2 + 2*g1^3*t^2.529 + t^3.471/g1^3 + 2*g1^2*t^3.686 + (3*t^4.197)/g1^14 + (4*t^4.412)/g1^9 + (7*t^4.628)/g1^4 + 5*g1*t^4.843 + 3*g1^6*t^5.058 + (2*t^5.569)/g1^10 + (4*t^5.785)/g1^5 + t^6. + 2*g1^5*t^6.215 + (4*t^6.295)/g1^21 + (6*t^6.511)/g1^16 + (12*t^6.726)/g1^11 + (13*t^6.942)/g1^6 + (10*t^7.157)/g1 + 4*g1^4*t^7.372 + 2*g1^9*t^7.588 + (3*t^7.668)/g1^17 + (6*t^7.883)/g1^12 + t^8.098/g1^7 + (5*t^8.394)/g1^28 - 5*g1^3*t^8.529 + (8*t^8.609)/g1^23 + (17*t^8.825)/g1^18 - t^4.157/(g1*y) - (2*t^6.255)/(g1^8*y) - (2*t^6.471)/(g1^3*y) - (g1^2*t^6.686)/y + t^7.197/(g1^14*y) + (4*t^7.412)/(g1^9*y) + (6*t^7.628)/(g1^4*y) + (6*g1*t^7.843)/y + (3*g1^6*t^8.058)/y - (3*t^8.354)/(g1^15*y) - (2*t^8.569)/(g1^10*y) + t^8.785/(g1^5*y) - (t^4.157*y)/g1 - (2*t^6.255*y)/g1^8 - (2*t^6.471*y)/g1^3 - g1^2*t^6.686*y + (t^7.197*y)/g1^14 + (4*t^7.412*y)/g1^9 + (6*t^7.628*y)/g1^4 + 6*g1*t^7.843*y + 3*g1^6*t^8.058*y - (3*t^8.354*y)/g1^15 - (2*t^8.569*y)/g1^10 + (t^8.785*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 |
---|---|---|---|---|---|---|---|---|
3719 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6863 | 0.8776 | 0.782 | [M:[0.7758, 0.8363, 0.7152, 1.1637, 0.7152, 0.8363, 0.8363], q:[0.7758, 0.4485], qb:[0.3879, 0.8363], phi:[0.3879]] | 2*t^2.146 + 2*t^2.327 + 3*t^2.509 + 2*t^3.673 + 3*t^4.291 + 4*t^4.473 + 9*t^4.655 + 7*t^4.836 + 6*t^5.018 + 2*t^5.818 - t^6. - t^4.164/y - t^4.164*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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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 |