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 |
---|---|---|---|---|---|---|---|---|---|
52900 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6967 | 0.8544 | 0.8154 | [M:[0.9525, 1.0475, 1.0158, 0.9209, 1.0158, 0.9842], q:[0.4763, 0.5712], qb:[0.4763, 0.5079], phi:[0.4921]] | [M:[[-6], [6], [2], [-10], [2], [-2]], q:[[-3], [9]], qb:[[-3], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$ | ${}M_{3}M_{6}$ | -2 | t^2.763 + t^2.858 + 2*t^2.953 + t^3.047 + 2*t^3.142 + 3*t^4.334 + 2*t^4.429 + t^4.524 + 2*t^4.619 + t^4.714 + t^4.903 + t^5.525 + t^5.62 + t^5.715 + 2*t^5.81 + 4*t^5.905 - 2*t^6. + 2*t^6.095 + t^6.19 + t^6.285 + 3*t^7.097 + 3*t^7.192 + 6*t^7.286 + 4*t^7.381 + 4*t^7.476 + 2*t^7.571 + 2*t^7.666 + 2*t^7.761 + 2*t^7.856 + 2*t^8.046 + t^8.288 + t^8.383 + t^8.478 + 2*t^8.573 + 7*t^8.668 + t^8.763 + t^8.858 - t^8.953 - t^4.476/y - t^7.239/y + t^7.714/y + t^8.62/y + (2*t^8.715)/y + (3*t^8.81)/y + (4*t^8.905)/y - t^4.476*y - t^7.239*y + t^7.714*y + t^8.62*y + 2*t^8.715*y + 3*t^8.81*y + 4*t^8.905*y | t^2.763/g1^10 + t^2.858/g1^6 + (2*t^2.953)/g1^2 + g1^2*t^3.047 + 2*g1^6*t^3.142 + (3*t^4.334)/g1^7 + (2*t^4.429)/g1^3 + g1*t^4.524 + 2*g1^5*t^4.619 + g1^9*t^4.714 + g1^17*t^4.903 + t^5.525/g1^20 + t^5.62/g1^16 + t^5.715/g1^12 + (2*t^5.81)/g1^8 + (4*t^5.905)/g1^4 - 2*t^6. + 2*g1^4*t^6.095 + g1^8*t^6.19 + g1^12*t^6.285 + (3*t^7.097)/g1^17 + (3*t^7.192)/g1^13 + (6*t^7.286)/g1^9 + (4*t^7.381)/g1^5 + (4*t^7.476)/g1 + 2*g1^3*t^7.571 + 2*g1^7*t^7.666 + 2*g1^11*t^7.761 + 2*g1^15*t^7.856 + 2*g1^23*t^8.046 + t^8.288/g1^30 + t^8.383/g1^26 + t^8.478/g1^22 + (2*t^8.573)/g1^18 + (7*t^8.668)/g1^14 + t^8.763/g1^10 + t^8.858/g1^6 - t^8.953/g1^2 - t^4.476/(g1*y) - t^7.239/(g1^11*y) + (g1^9*t^7.714)/y + t^8.62/(g1^16*y) + (2*t^8.715)/(g1^12*y) + (3*t^8.81)/(g1^8*y) + (4*t^8.905)/(g1^4*y) - (t^4.476*y)/g1 - (t^7.239*y)/g1^11 + g1^9*t^7.714*y + (t^8.62*y)/g1^16 + (2*t^8.715*y)/g1^12 + (3*t^8.81*y)/g1^8 + (4*t^8.905*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
56404 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{7}$ | 0.6932 | 0.8486 | 0.8169 | [M:[0.9726, 1.0274, 1.0091, 0.9543, 1.0091, 0.9909, 1.0274], q:[0.4863, 0.5412], qb:[0.4863, 0.5046], phi:[0.4954]] | t^2.863 + 2*t^2.973 + t^3.027 + 3*t^3.082 + 3*t^4.404 + 2*t^4.459 + t^4.514 + 2*t^4.569 + t^4.624 + t^4.733 + t^5.726 + 4*t^5.945 - 4*t^6. - t^4.486/y - t^4.486*y | detail | |
56405 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.6983 | 0.8573 | 0.8145 | [M:[0.9458, 1.0542, 1.0181, 0.9097, 1.0181, 0.9819, 0.9819], q:[0.4729, 0.5813], qb:[0.4729, 0.509], phi:[0.491]] | t^2.729 + t^2.837 + 3*t^2.946 + 2*t^3.163 + 3*t^4.31 + 2*t^4.419 + t^4.527 + 2*t^4.636 + t^4.744 + t^4.961 + t^5.458 + t^5.566 + 2*t^5.675 + 2*t^5.783 + 6*t^5.892 - 4*t^6. - t^4.473/y - t^4.473*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 |
---|---|---|---|---|---|---|---|---|---|
47125 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{2}$ | 0.7089 | 0.8701 | 0.8148 | [M:[1.0, 1.0, 0.8961, 0.8961, 1.052, 0.948], q:[0.4221, 0.5779], qb:[0.5779, 0.526], phi:[0.474]] | 2*t^2.688 + 2*t^2.844 + 2*t^3. + t^3.468 + t^3.954 + t^4.266 + 2*t^4.422 + t^4.578 + 2*t^4.734 + 3*t^4.89 + 3*t^5.377 + 2*t^5.532 + 6*t^5.688 + 2*t^5.844 - 3*t^6. - t^4.422/y - t^4.422*y | detail |