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 |
---|---|---|---|---|---|---|---|---|---|
672 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ | 0.644 | 0.7871 | 0.8182 | [M:[0.8593, 1.1407, 1.0076, 0.711, 1.1407], q:[0.7852, 0.5038], qb:[0.6369, 0.3555], phi:[0.4297]] | [M:[[-4], [4], [-14], [6], [4]], q:[[1], [-7]], qb:[[11], [3]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | 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 |
---|---|---|---|---|---|---|---|---|
1974 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6643 | 0.8258 | 0.8045 | [M:[0.8612, 1.1388, 1.0144, 0.7081, 1.1388, 0.7081], q:[0.7847, 0.5072], qb:[0.6316, 0.3541], 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 |
---|---|---|---|---|---|---|---|---|---|
414 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{1}q_{2}$ | 0.6566 | 0.8083 | 0.8123 | [M:[0.8549, 1.1451, 0.9921, 0.7177], q:[0.7863, 0.496], qb:[0.6491, 0.3588], phi:[0.4274]] | t^2.153 + 2*t^2.565 + t^2.976 + 3*t^3.435 + t^3.847 + t^4.259 + 3*t^4.306 + 3*t^4.718 + 3*t^5.129 + t^5.177 + t^5.541 + 2*t^5.588 + t^5.953 + 3*t^6. - t^4.282/y - t^4.282*y | detail |