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 |
---|---|---|---|---|---|---|---|---|---|
3275 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ | 0.6295 | 0.7957 | 0.7912 | [M:[1.1587, 1.1138, 0.7725, 0.6825, 0.8862, 1.2275], q:[0.75, 0.4775], qb:[0.3638, 0.4087], phi:[0.5]] | [M:[[3], [-1], [2], [-6], [1], [-2]], q:[[0], [-2]], qb:[[-1], [3]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{4}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}M_{2}M_{5}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.048 + t^2.317 + t^2.659 + t^3. + t^3.341 + 2*t^3.476 + 2*t^3.683 + t^3.817 + t^4.024 + t^4.095 + t^4.159 + 2*t^4.365 + t^4.635 + t^4.706 + t^4.976 + t^5.048 + 2*t^5.317 + t^5.389 + 2*t^5.524 + t^5.659 + 2*t^5.73 + t^5.794 + t^6.071 + 2*t^6.135 + t^6.143 + t^6.341 + 2*t^6.413 + 2*t^6.476 + 3*t^6.683 + t^6.754 + 2*t^6.817 + 3*t^6.952 + 3*t^7.024 + t^7.095 + 2*t^7.159 + t^7.294 + 4*t^7.365 + t^7.436 + t^7.5 + 2*t^7.571 + 2*t^7.635 + 2*t^7.706 + 2*t^7.778 + 2*t^7.841 + t^7.976 + 2*t^8.048 + t^8.111 + t^8.119 + t^8.183 + t^8.19 + 2*t^8.389 + t^8.452 + 2*t^8.46 + t^8.524 - 2*t^8.659 + 4*t^8.73 + 2*t^8.794 + t^8.801 - t^4.5/y - t^6.548/y + t^7.024/y + t^7.365/y + t^7.706/y + t^8.048/y + t^8.317/y + t^8.389/y + t^8.452/y + (2*t^8.524)/y - t^8.595/y + (2*t^8.659)/y + (2*t^8.73)/y + (2*t^8.794)/y + t^8.865/y - t^4.5*y - t^6.548*y + t^7.024*y + t^7.365*y + t^7.706*y + t^8.048*y + t^8.317*y + t^8.389*y + t^8.452*y + 2*t^8.524*y - t^8.595*y + 2*t^8.659*y + 2*t^8.73*y + 2*t^8.794*y + t^8.865*y | t^2.048/g1^6 + g1^2*t^2.317 + g1*t^2.659 + t^3. + t^3.341/g1 + 2*g1^3*t^3.476 + (2*t^3.683)/g1^2 + g1^2*t^3.817 + t^4.024/g1^3 + t^4.095/g1^12 + g1*t^4.159 + (2*t^4.365)/g1^4 + g1^4*t^4.635 + t^4.706/g1^5 + g1^3*t^4.976 + t^5.048/g1^6 + 2*g1^2*t^5.317 + t^5.389/g1^7 + (2*t^5.524)/g1^3 + g1*t^5.659 + (2*t^5.73)/g1^8 + g1^5*t^5.794 + t^6.071/g1^9 + 2*g1^4*t^6.135 + t^6.143/g1^18 + t^6.341/g1 + (2*t^6.413)/g1^10 + 2*g1^3*t^6.476 + (3*t^6.683)/g1^2 + t^6.754/g1^11 + 2*g1^2*t^6.817 + 3*g1^6*t^6.952 + (3*t^7.024)/g1^3 + t^7.095/g1^12 + 2*g1*t^7.159 + g1^5*t^7.294 + (4*t^7.365)/g1^4 + t^7.436/g1^13 + t^7.5 + (2*t^7.571)/g1^9 + 2*g1^4*t^7.635 + (2*t^7.706)/g1^5 + (2*t^7.778)/g1^14 + (2*t^7.841)/g1 + g1^3*t^7.976 + (2*t^8.048)/g1^6 + g1^7*t^8.111 + t^8.119/g1^15 + t^8.183/g1^2 + t^8.19/g1^24 + (2*t^8.389)/g1^7 + g1^6*t^8.452 + (2*t^8.46)/g1^16 + t^8.524/g1^3 - 2*g1*t^8.659 + (4*t^8.73)/g1^8 + 2*g1^5*t^8.794 + t^8.801/g1^17 - t^4.5/y - t^6.548/(g1^6*y) + t^7.024/(g1^3*y) + t^7.365/(g1^4*y) + t^7.706/(g1^5*y) + t^8.048/(g1^6*y) + (g1^2*t^8.317)/y + t^8.389/(g1^7*y) + (g1^6*t^8.452)/y + (2*t^8.524)/(g1^3*y) - t^8.595/(g1^12*y) + (2*g1*t^8.659)/y + (2*t^8.73)/(g1^8*y) + (2*g1^5*t^8.794)/y + t^8.865/(g1^4*y) - t^4.5*y - (t^6.548*y)/g1^6 + (t^7.024*y)/g1^3 + (t^7.365*y)/g1^4 + (t^7.706*y)/g1^5 + (t^8.048*y)/g1^6 + g1^2*t^8.317*y + (t^8.389*y)/g1^7 + g1^6*t^8.452*y + (2*t^8.524*y)/g1^3 - (t^8.595*y)/g1^12 + 2*g1*t^8.659*y + (2*t^8.73*y)/g1^8 + 2*g1^5*t^8.794*y + (t^8.865*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 |
---|---|---|---|---|---|---|---|---|
3707 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}M_{7}$ | 0.6398 | 0.8129 | 0.7871 | [M:[1.1531, 1.1156, 0.7687, 0.6938, 0.8844, 1.2313, 0.8844], q:[0.75, 0.4813], qb:[0.3656, 0.4031], phi:[0.5]] | t^2.081 + t^2.306 + 2*t^2.653 + t^3. + 2*t^3.459 + 2*t^3.694 + t^3.806 + t^4.041 + t^4.153 + t^4.163 + 2*t^4.388 + t^4.612 + 2*t^4.735 + 2*t^4.959 + t^5.081 + 4*t^5.306 + 2*t^5.541 + t^5.653 + t^5.765 + 2*t^5.775 - t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
2757 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6476 | 0.8279 | 0.7823 | [M:[1.1521, 1.116, 0.7681, 0.6958, 0.884], q:[0.75, 0.4819], qb:[0.366, 0.4021], phi:[0.5]] | t^2.087 + 2*t^2.304 + t^2.652 + t^3. + t^3.348 + 2*t^3.456 + t^3.696 + t^3.804 + t^4.044 + t^4.152 + t^4.175 + 3*t^4.392 + 3*t^4.608 + t^4.739 + 2*t^4.956 + t^5.087 + 3*t^5.304 + t^5.435 + 2*t^5.544 + 2*t^5.652 + 3*t^5.761 + t^5.783 - t^4.5/y - t^4.5*y | detail |