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 |
---|---|---|---|---|---|---|---|---|---|
46567 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}X_{1}$ | 0.644 | 0.7871 | 0.8182 | [X:[1.422], M:[1.1407, 0.711, 0.578, 1.0076], q:[0.5038, 0.3555], qb:[0.7852, 0.6369], phi:[0.4297]] | [X:[[12]], M:[[4], [6], [-12], [-14]], q:[[-7], [3]], qb:[[1], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 1 | t^2.133 + t^2.578 + t^3.023 + 4*t^3.422 + t^3.867 + 3*t^4.266 + t^4.312 + 2*t^4.711 + t^5.11 + t^5.156 + 3*t^5.555 + t^6. + t^6.046 + 2*t^6.399 + 2*t^6.445 + 7*t^6.844 + t^6.89 + t^7.243 + 2*t^7.289 + t^7.335 + 8*t^7.688 + 2*t^7.734 + t^8.133 + 2*t^8.179 + 6*t^8.532 - 2*t^8.578 + t^8.624 + 3*t^8.977 - t^4.289/y - t^6.422/y + t^7.266/y - t^7.312/y + t^7.711/y + (2*t^8.156)/y + (3*t^8.555)/y + t^8.601/y - t^4.289*y - t^6.422*y + t^7.266*y - t^7.312*y + t^7.711*y + 2*t^8.156*y + 3*t^8.555*y + t^8.601*y | g1^6*t^2.133 + t^2.578/g1^4 + t^3.023/g1^14 + 4*g1^4*t^3.422 + t^3.867/g1^6 + 3*g1^12*t^4.266 + t^4.312/g1^16 + 2*g1^2*t^4.711 + g1^20*t^5.11 + t^5.156/g1^8 + 3*g1^10*t^5.555 + t^6. + t^6.046/g1^28 + 2*g1^18*t^6.399 + (2*t^6.445)/g1^10 + 7*g1^8*t^6.844 + t^6.89/g1^20 + g1^26*t^7.243 + (2*t^7.289)/g1^2 + t^7.335/g1^30 + 8*g1^16*t^7.688 + (2*t^7.734)/g1^12 + g1^6*t^8.133 + (2*t^8.179)/g1^22 + 6*g1^24*t^8.532 - (2*t^8.578)/g1^4 + t^8.624/g1^32 + 3*g1^14*t^8.977 - t^4.289/(g1^2*y) - (g1^4*t^6.422)/y + (g1^12*t^7.266)/y - t^7.312/(g1^16*y) + (g1^2*t^7.711)/y + (2*t^8.156)/(g1^8*y) + (3*g1^10*t^8.555)/y + t^8.601/(g1^18*y) - (t^4.289*y)/g1^2 - g1^4*t^6.422*y + g1^12*t^7.266*y - (t^7.312*y)/g1^16 + g1^2*t^7.711*y + (2*t^8.156*y)/g1^8 + 3*g1^10*t^8.555*y + (t^8.601*y)/g1^18 |
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 |
---|---|---|---|---|---|---|---|---|
48266 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ | 0.6643 | 0.8258 | 0.8045 | [X:[1.4163], M:[1.1388, 0.7081, 0.5837, 1.0144, 0.7081], q:[0.5072, 0.3541], qb:[0.7847, 0.6316], phi:[0.4306]] | 2*t^2.124 + t^2.584 + t^3.043 + 4*t^3.416 + 5*t^4.249 + t^4.335 + 3*t^4.708 + t^5.081 + 2*t^5.167 + 7*t^5.541 - t^4.292/y - t^4.292*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 |
---|---|---|---|---|---|---|---|---|---|
46135 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.688 | 0.8541 | 0.8054 | [M:[1.1058, 0.7867, 0.6825, 1.0016], q:[0.4368, 0.4574], qb:[0.7765, 0.5411], phi:[0.4471]] | t^2.047 + t^2.36 + t^2.682 + t^2.934 + t^3.005 + t^3.318 + t^3.701 + t^3.962 + t^4.024 + t^4.085 + t^4.095 + t^4.275 + t^4.336 + t^4.408 + t^4.588 + t^4.72 + t^4.73 + t^4.981 + t^5.043 + t^5.052 + t^5.294 + 3*t^5.365 + t^5.616 + t^5.678 + t^5.867 - 2*t^6. - t^4.341/y - t^4.341*y | detail |