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 |
|---|---|---|---|---|---|---|---|---|---|
| 1235 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6898 | 0.867 | 0.7955 | [M:[1.0, 1.149, 0.8796, 0.851, 0.7306, 0.7163], q:[0.7837, 0.3653], qb:[0.6347, 0.4857], phi:[0.4326]] | [M:[[0], [-3], [-11], [3], [-8], [-1]], q:[[1], [-4]], qb:[[4], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$ | ${}$ | -1 | t^2.149 + t^2.192 + t^2.553 + t^2.596 + t^2.639 + t^3. + t^3.447 + t^3.49 + t^4.212 + t^4.255 + 2*t^4.298 + t^4.341 + t^4.384 + t^4.659 + t^4.702 + 2*t^4.745 + 2*t^4.788 + t^4.83 + 2*t^5.106 + 2*t^5.149 + 2*t^5.192 + t^5.235 + t^5.277 + 2*t^5.596 + 2*t^5.639 + t^5.681 - t^6. + t^6.043 + 2*t^6.086 + t^6.128 + t^6.404 + 2*t^6.447 + 2*t^6.49 + t^6.533 + t^6.575 + t^6.765 + t^6.808 + 2*t^6.851 + 3*t^6.894 + 4*t^6.937 + 3*t^6.979 + t^7.022 + t^7.212 + 2*t^7.255 + 3*t^7.298 + 3*t^7.341 + 3*t^7.384 + 2*t^7.426 + t^7.469 - t^7.616 + t^7.659 + 2*t^7.702 + 4*t^7.745 + 5*t^7.788 + 3*t^7.83 + 2*t^7.873 + t^7.916 - t^8.063 - t^8.106 - 2*t^8.149 + 3*t^8.235 + 3*t^8.277 + t^8.32 + t^8.425 - t^8.51 - t^8.553 + 2*t^8.596 + t^8.639 + 3*t^8.681 + 3*t^8.724 + 2*t^8.767 + t^8.872 - t^8.957 - t^4.298/y - t^6.447/y - t^6.49/y - t^6.894/y - t^6.937/y + t^7.341/y + t^7.659/y + (2*t^7.702)/y + (2*t^7.745)/y + (2*t^7.788)/y + t^7.83/y + t^8.106/y + (3*t^8.149)/y + (2*t^8.192)/y + t^8.235/y + t^8.553/y + t^8.596/y + (2*t^8.639)/y - t^4.298*y - t^6.447*y - t^6.49*y - t^6.894*y - t^6.937*y + t^7.341*y + t^7.659*y + 2*t^7.702*y + 2*t^7.745*y + 2*t^7.788*y + t^7.83*y + t^8.106*y + 3*t^8.149*y + 2*t^8.192*y + t^8.235*y + t^8.553*y + t^8.596*y + 2*t^8.639*y | t^2.149/g1 + t^2.192/g1^8 + g1^3*t^2.553 + t^2.596/g1^4 + t^2.639/g1^11 + t^3. + t^3.447/g1^3 + t^3.49/g1^10 + g1^12*t^4.212 + g1^5*t^4.255 + (2*t^4.298)/g1^2 + t^4.341/g1^9 + t^4.384/g1^16 + g1^9*t^4.659 + g1^2*t^4.702 + (2*t^4.745)/g1^5 + (2*t^4.788)/g1^12 + t^4.83/g1^19 + 2*g1^6*t^5.106 + (2*t^5.149)/g1 + (2*t^5.192)/g1^8 + t^5.235/g1^15 + t^5.277/g1^22 + (2*t^5.596)/g1^4 + (2*t^5.639)/g1^11 + t^5.681/g1^18 - t^6. + t^6.043/g1^7 + (2*t^6.086)/g1^14 + t^6.128/g1^21 + g1^4*t^6.404 + (2*t^6.447)/g1^3 + (2*t^6.49)/g1^10 + t^6.533/g1^17 + t^6.575/g1^24 + g1^15*t^6.765 + g1^8*t^6.808 + 2*g1*t^6.851 + (3*t^6.894)/g1^6 + (4*t^6.937)/g1^13 + (3*t^6.979)/g1^20 + t^7.022/g1^27 + g1^12*t^7.212 + 2*g1^5*t^7.255 + (3*t^7.298)/g1^2 + (3*t^7.341)/g1^9 + (3*t^7.384)/g1^16 + (2*t^7.426)/g1^23 + t^7.469/g1^30 - g1^16*t^7.616 + g1^9*t^7.659 + 2*g1^2*t^7.702 + (4*t^7.745)/g1^5 + (5*t^7.788)/g1^12 + (3*t^7.83)/g1^19 + (2*t^7.873)/g1^26 + t^7.916/g1^33 - g1^13*t^8.063 - g1^6*t^8.106 - (2*t^8.149)/g1 + (3*t^8.235)/g1^15 + (3*t^8.277)/g1^22 + t^8.32/g1^29 + g1^24*t^8.425 - g1^10*t^8.51 - g1^3*t^8.553 + (2*t^8.596)/g1^4 + t^8.639/g1^11 + (3*t^8.681)/g1^18 + (3*t^8.724)/g1^25 + (2*t^8.767)/g1^32 + g1^21*t^8.872 - g1^7*t^8.957 - t^4.298/(g1^2*y) - t^6.447/(g1^3*y) - t^6.49/(g1^10*y) - t^6.894/(g1^6*y) - t^6.937/(g1^13*y) + t^7.341/(g1^9*y) + (g1^9*t^7.659)/y + (2*g1^2*t^7.702)/y + (2*t^7.745)/(g1^5*y) + (2*t^7.788)/(g1^12*y) + t^7.83/(g1^19*y) + (g1^6*t^8.106)/y + (3*t^8.149)/(g1*y) + (2*t^8.192)/(g1^8*y) + t^8.235/(g1^15*y) + (g1^3*t^8.553)/y + t^8.596/(g1^4*y) + (2*t^8.639)/(g1^11*y) - (t^4.298*y)/g1^2 - (t^6.447*y)/g1^3 - (t^6.49*y)/g1^10 - (t^6.894*y)/g1^6 - (t^6.937*y)/g1^13 + (t^7.341*y)/g1^9 + g1^9*t^7.659*y + 2*g1^2*t^7.702*y + (2*t^7.745*y)/g1^5 + (2*t^7.788*y)/g1^12 + (t^7.83*y)/g1^19 + g1^6*t^8.106*y + (3*t^8.149*y)/g1 + (2*t^8.192*y)/g1^8 + (t^8.235*y)/g1^15 + g1^3*t^8.553*y + (t^8.596*y)/g1^4 + (2*t^8.639*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2283 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.7029 | 0.889 | 0.7906 | [M:[1.0, 1.1522, 0.8915, 0.8478, 0.7393, 0.7174, 0.8478], q:[0.7826, 0.3697], qb:[0.6303, 0.4781], phi:[0.4348]] | t^2.152 + t^2.218 + 2*t^2.543 + t^2.609 + t^2.675 + t^3. + t^3.522 + t^4.173 + t^4.239 + 2*t^4.304 + t^4.37 + t^4.436 + t^4.63 + 2*t^4.696 + 3*t^4.761 + 2*t^4.827 + t^4.893 + 4*t^5.087 + 3*t^5.152 + 3*t^5.218 + t^5.284 + t^5.349 + t^5.543 + t^5.609 + t^5.675 + t^5.74 - 2*t^6. - t^4.304/y - t^4.304*y | detail | |
| 2284 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.6812 | 0.8512 | 0.8002 | [M:[1.0, 1.1638, 0.9339, 0.8362, 0.7701, 0.7213, 1.0661], q:[0.7787, 0.3851], qb:[0.6149, 0.4511], phi:[0.4425]] | t^2.164 + t^2.31 + t^2.509 + t^2.655 + t^3. + t^3.198 + t^3.491 + t^3.638 + t^4.034 + t^4.181 + 2*t^4.328 + t^4.474 + t^4.526 + t^4.621 + t^4.672 + 2*t^4.819 + t^4.966 + 2*t^5.017 + 2*t^5.164 + t^5.31 + t^5.362 + t^5.509 + 2*t^5.655 + t^5.707 + t^5.802 + t^5.853 + t^5.948 - t^6. - t^4.328/y - t^4.328*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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 748 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6696 | 0.8291 | 0.8076 | [M:[1.0, 1.1494, 0.881, 0.8506, 0.7316], q:[0.7835, 0.3658], qb:[0.6342, 0.4848], phi:[0.4329]] | t^2.195 + t^2.552 + t^2.597 + t^2.643 + t^3. + t^3.448 + t^3.494 + t^3.851 + t^4.208 + t^4.253 + t^4.299 + t^4.39 + t^4.656 + t^4.747 + t^4.792 + t^4.838 + 2*t^5.104 + t^5.149 + 2*t^5.195 + t^5.24 + t^5.286 + t^5.597 + t^5.643 + t^5.688 - t^6. - t^4.299/y - t^4.299*y | detail |