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 |
---|---|---|---|---|---|---|---|---|---|
1772 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}X_{1}$ | 0.6277 | 0.7724 | 0.8127 | [X:[1.4657], M:[0.8767, 1.2192, 0.5343, 0.7808], q:[0.3425, 0.7808], qb:[0.4384, 0.6849], phi:[0.4384]] | [X:[[7]], M:[[-4], [-1], [-7], [1]], q:[[3], [1]], qb:[[-2], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 2 | t^2.342 + 2*t^2.63 + t^3.082 + 2*t^3.37 + 2*t^3.658 + t^3.945 + 2*t^4.397 + 2*t^4.685 + t^4.973 + 2*t^5.26 + 2*t^5.425 + 3*t^5.712 + 2*t^6. + t^6.164 + t^6.288 + 2*t^6.452 + t^6.575 + 3*t^6.74 + 4*t^7.027 + 2*t^7.315 + 2*t^7.479 + t^7.603 + 4*t^7.767 + 4*t^7.891 + 4*t^8.055 + 2*t^8.507 - t^8.63 + 5*t^8.794 - t^8.918 - t^4.315/y - (2*t^6.945)/y + (2*t^7.685)/y + (2*t^7.973)/y + t^8.26/y + t^8.425/y + (4*t^8.712)/y - t^4.315*y - 2*t^6.945*y + 2*t^7.685*y + 2*t^7.973*y + t^8.26*y + t^8.425*y + 4*t^8.712*y | g1*t^2.342 + (2*t^2.63)/g1^4 + g1^9*t^3.082 + 2*g1^4*t^3.37 + (2*t^3.658)/g1 + t^3.945/g1^6 + 2*g1^7*t^4.397 + 2*g1^2*t^4.685 + t^4.973/g1^3 + (2*t^5.26)/g1^8 + 2*g1^10*t^5.425 + 3*g1^5*t^5.712 + 2*t^6. + g1^18*t^6.164 + t^6.288/g1^5 + 2*g1^13*t^6.452 + t^6.575/g1^10 + 3*g1^8*t^6.74 + 4*g1^3*t^7.027 + (2*t^7.315)/g1^2 + 2*g1^16*t^7.479 + t^7.603/g1^7 + 4*g1^11*t^7.767 + (4*t^7.891)/g1^12 + 4*g1^6*t^8.055 + 2*g1^19*t^8.507 - t^8.63/g1^4 + 5*g1^14*t^8.794 - t^8.918/g1^9 - t^4.315/(g1^2*y) - (2*t^6.945)/(g1^6*y) + (2*g1^2*t^7.685)/y + (2*t^7.973)/(g1^3*y) + t^8.26/(g1^8*y) + (g1^10*t^8.425)/y + (4*g1^5*t^8.712)/y - (t^4.315*y)/g1^2 - (2*t^6.945*y)/g1^6 + 2*g1^2*t^7.685*y + (2*t^7.973*y)/g1^3 + (t^8.26*y)/g1^8 + g1^10*t^8.425*y + 4*g1^5*t^8.712*y |
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 |
---|---|---|---|---|---|---|---|---|
2771 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{1}M_{5}$ | 0.6173 | 0.7569 | 0.8156 | [X:[1.4372], M:[0.893, 1.2233, 0.5628, 0.7767, 1.107], q:[0.3302, 0.7767], qb:[0.4465, 0.6605], phi:[0.4465]] | t^2.33 + t^2.679 + t^2.972 + 3*t^3.321 + 2*t^3.67 + t^4.019 + 2*t^4.312 + 2*t^4.66 + 2*t^5.302 + 3*t^5.651 + t^5.944 + t^6. - t^4.34/y - t^4.34*y | detail | |
2772 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{5}$ | 0.6453 | 0.804 | 0.8026 | [X:[1.4612], M:[0.8793, 1.2198, 0.5388, 0.7802, 0.7802], q:[0.3405, 0.7802], qb:[0.4397, 0.681], phi:[0.4397]] | 2*t^2.34 + 2*t^2.638 + t^3.064 + 2*t^3.362 + t^3.66 + t^3.957 + 2*t^4.383 + 4*t^4.681 + 3*t^4.979 + 2*t^5.276 + 3*t^5.405 + 5*t^5.702 + 2*t^6. - t^4.319/y - t^4.319*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 |