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 |
|---|---|---|---|---|---|---|---|---|---|
| 708 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6814 | 0.8416 | 0.8096 | [M:[0.9657, 1.1263, 0.9657, 0.8737, 0.6895], q:[0.7816, 0.4368], qb:[0.5974, 0.4368], phi:[0.4368]] | [M:[[9], [-4], [9], [4], [-6]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$ | ${}M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | -3 | t^2.069 + 2*t^2.621 + 2*t^2.897 + 2*t^3.655 + 2*t^3.931 + 2*t^4.137 + 2*t^4.413 + 2*t^4.69 + t^4.895 + 2*t^4.966 + 3*t^5.242 + 2*t^5.518 + 2*t^5.724 + 3*t^5.794 - 3*t^6. + 2*t^6.206 + 2*t^6.276 + 7*t^6.552 + 2*t^6.758 + 2*t^6.829 + t^6.964 + 4*t^7.034 + 3*t^7.31 + t^7.516 + 4*t^7.587 + 2*t^7.792 + 9*t^7.863 - t^8.069 + 2*t^8.139 + 2*t^8.274 + 2*t^8.345 + 3*t^8.415 + 2*t^8.55 - 3*t^8.621 + 4*t^8.692 + 3*t^8.827 - 4*t^8.897 - t^4.31/y - t^6.379/y - t^6.931/y - (2*t^7.208)/y + (2*t^7.413)/y + (3*t^7.69)/y + (2*t^7.966)/y + (2*t^8.242)/y - t^8.448/y + (4*t^8.518)/y + (2*t^8.724)/y + t^8.794/y - t^4.31*y - t^6.379*y - t^6.931*y - 2*t^7.208*y + 2*t^7.413*y + 3*t^7.69*y + 2*t^7.966*y + 2*t^8.242*y - t^8.448*y + 4*t^8.518*y + 2*t^8.724*y + t^8.794*y | t^2.069/g1^6 + 2*g1^4*t^2.621 + 2*g1^9*t^2.897 + 2*g1*t^3.655 + 2*g1^6*t^3.931 + (2*t^4.137)/g1^12 + (2*t^4.413)/g1^7 + (2*t^4.69)/g1^2 + t^4.895/g1^20 + 2*g1^3*t^4.966 + 3*g1^8*t^5.242 + 2*g1^13*t^5.518 + (2*t^5.724)/g1^5 + 3*g1^18*t^5.794 - 3*t^6. + (2*t^6.206)/g1^18 + 2*g1^5*t^6.276 + 7*g1^10*t^6.552 + (2*t^6.758)/g1^8 + 2*g1^15*t^6.829 + t^6.964/g1^26 + (4*t^7.034)/g1^3 + 3*g1^2*t^7.31 + t^7.516/g1^16 + 4*g1^7*t^7.587 + (2*t^7.792)/g1^11 + 9*g1^12*t^7.863 - t^8.069/g1^6 + 2*g1^17*t^8.139 + (2*t^8.274)/g1^24 + (2*t^8.345)/g1 + 3*g1^22*t^8.415 + (2*t^8.55)/g1^19 - 3*g1^4*t^8.621 + 4*g1^27*t^8.692 + (3*t^8.827)/g1^14 - 4*g1^9*t^8.897 - (g1^2*t^4.31)/y - t^6.379/(g1^4*y) - (g1^6*t^6.931)/y - (2*g1^11*t^7.208)/y + (2*t^7.413)/(g1^7*y) + (3*t^7.69)/(g1^2*y) + (2*g1^3*t^7.966)/y + (2*g1^8*t^8.242)/y - t^8.448/(g1^10*y) + (4*g1^13*t^8.518)/y + (2*t^8.724)/(g1^5*y) + (g1^18*t^8.794)/y - g1^2*t^4.31*y - (t^6.379*y)/g1^4 - g1^6*t^6.931*y - 2*g1^11*t^7.208*y + (2*t^7.413*y)/g1^7 + (3*t^7.69*y)/g1^2 + 2*g1^3*t^7.966*y + 2*g1^8*t^8.242*y - (t^8.448*y)/g1^10 + 4*g1^13*t^8.518*y + (2*t^8.724*y)/g1^5 + g1^18*t^8.794*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 |
|---|---|---|---|---|---|---|---|---|
| 1155 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}X_{1}$ | 0.659 | 0.7978 | 0.8259 | [X:[1.333], M:[0.9996, 1.1113, 0.9996, 0.8887, 0.667, 1.0004], q:[0.7778, 0.4443], qb:[0.5561, 0.4443], phi:[0.4443]] | 2*t^2.666 + t^2.999 + t^3.001 + 2*t^3.667 + 3*t^3.999 + t^4.002 + 2*t^4.334 + t^4.67 + 3*t^5.332 + 2*t^5.667 + t^5.997 - 4*t^6. - t^4.333/y - t^4.333*y | detail | |
| 1153 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{5}X_{1}$ | 0.6438 | 0.7784 | 0.8271 | [X:[1.3846], M:[1.0769, 1.0769, 1.0769, 0.9231, 0.6154], q:[0.7692, 0.4615], qb:[0.4615, 0.4615], phi:[0.4615]] | 2*t^2.769 + 2*t^3.231 + 3*t^3.692 + 6*t^4.154 + 3*t^5.538 - 5*t^6. - t^4.385/y - t^4.385*y | detail | {a: 2829/4394, c: 6841/8788, X1: 18/13, M1: 14/13, M2: 14/13, M3: 14/13, M4: 12/13, M5: 8/13, q1: 10/13, q2: 6/13, qb1: 6/13, qb2: 6/13, phi1: 6/13} |
| 1156 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}M_{6}$ | 0.6607 | 0.8017 | 0.8242 | [M:[0.9624, 1.1278, 0.9624, 0.8722, 0.6917, 1.3083], q:[0.782, 0.4361], qb:[0.6015, 0.4361], phi:[0.4361]] | 2*t^2.617 + 2*t^2.887 + 2*t^3.654 + 3*t^3.925 + t^4.15 + 2*t^4.421 + t^4.917 + 3*t^5.233 + 2*t^5.504 + 3*t^5.774 - 5*t^6. - t^4.308/y - t^4.308*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 |
|---|---|---|---|---|---|---|---|---|---|
| 424 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6815 | 0.8422 | 0.8091 | [M:[0.9604, 1.1268, 0.9689, 0.8732, 0.6818], q:[0.7817, 0.4408], qb:[0.5988, 0.4324], phi:[0.4366]] | t^2.045 + 2*t^2.62 + t^2.881 + t^2.907 + t^3.642 + t^3.668 + t^3.904 + t^3.929 + t^4.091 + t^4.141 + t^4.403 + t^4.429 + 2*t^4.665 + t^4.902 + t^4.927 + t^4.952 + 3*t^5.239 + t^5.501 + t^5.526 + t^5.687 + t^5.713 + t^5.763 + t^5.788 + t^5.813 + t^5.949 - 3*t^6. - t^4.31/y - t^4.31*y | detail |