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 |
|---|---|---|---|---|---|---|---|---|---|
| 46387 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6123 | 0.7909 | 0.7741 | [M:[0.9527, 0.8072, 0.8582, 1.1418], q:[0.7382, 0.3091], qb:[0.4546, 0.4036], phi:[0.5236]] | [M:[[-4], [26], [-12], [12]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{3}M_{4}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.138 + t^2.291 + t^2.422 + t^2.575 + t^2.858 + t^3.142 + 2*t^3.425 + t^3.709 + t^3.862 + t^3.992 + t^4.146 + t^4.276 + t^4.299 + t^4.429 + t^4.56 + t^4.582 + 2*t^4.713 + t^4.843 + t^4.866 + 2*t^4.996 + 2*t^5.149 + 2*t^5.28 + 2*t^5.433 + 2*t^5.563 + 2*t^5.716 + 2*t^5.847 + t^6. + 2*t^6.13 + 3*t^6.284 + 2*t^6.414 + t^6.437 + 4*t^6.567 + t^6.59 + t^6.698 + 2*t^6.72 + 4*t^6.851 + 2*t^6.873 + t^6.981 + t^7.004 + 4*t^7.134 + t^7.157 + t^7.265 + 2*t^7.287 + 4*t^7.418 + 2*t^7.44 + 2*t^7.571 + 4*t^7.701 + 3*t^7.724 + 2*t^7.854 + 3*t^7.985 + 2*t^8.008 + 2*t^8.138 + t^8.161 + 3*t^8.268 + t^8.291 + t^8.422 + t^8.444 + 3*t^8.552 + t^8.597 + 4*t^8.705 + 2*t^8.835 + t^8.881 + 5*t^8.989 - t^4.571/y - t^6.992/y + t^7.429/y + t^7.56/y + (2*t^7.713)/y + t^7.866/y + (2*t^7.996)/y + (2*t^8.149)/y + (2*t^8.28)/y + (2*t^8.433)/y + (3*t^8.563)/y + (3*t^8.716)/y + (3*t^8.847)/y - t^4.571*y - t^6.992*y + t^7.429*y + t^7.56*y + 2*t^7.713*y + t^7.866*y + 2*t^7.996*y + 2*t^8.149*y + 2*t^8.28*y + 2*t^8.433*y + 3*t^8.563*y + 3*t^8.716*y + 3*t^8.847*y | g1^18*t^2.138 + t^2.291/g1^20 + g1^26*t^2.422 + t^2.575/g1^12 + t^2.858/g1^4 + g1^4*t^3.142 + 2*g1^12*t^3.425 + g1^20*t^3.709 + t^3.862/g1^18 + g1^28*t^3.992 + t^4.146/g1^10 + g1^36*t^4.276 + t^4.299/g1^48 + t^4.429/g1^2 + g1^44*t^4.56 + t^4.582/g1^40 + 2*g1^6*t^4.713 + g1^52*t^4.843 + t^4.866/g1^32 + 2*g1^14*t^4.996 + (2*t^5.149)/g1^24 + 2*g1^22*t^5.28 + (2*t^5.433)/g1^16 + 2*g1^30*t^5.563 + (2*t^5.716)/g1^8 + 2*g1^38*t^5.847 + t^6. + 2*g1^46*t^6.13 + 3*g1^8*t^6.284 + 2*g1^54*t^6.414 + t^6.437/g1^30 + 4*g1^16*t^6.567 + t^6.59/g1^68 + g1^62*t^6.698 + (2*t^6.72)/g1^22 + 4*g1^24*t^6.851 + (2*t^6.873)/g1^60 + g1^70*t^6.981 + t^7.004/g1^14 + 4*g1^32*t^7.134 + t^7.157/g1^52 + g1^78*t^7.265 + (2*t^7.287)/g1^6 + 4*g1^40*t^7.418 + (2*t^7.44)/g1^44 + 2*g1^2*t^7.571 + 4*g1^48*t^7.701 + (3*t^7.724)/g1^36 + 2*g1^10*t^7.854 + 3*g1^56*t^7.985 + (2*t^8.008)/g1^28 + 2*g1^18*t^8.138 + t^8.161/g1^66 + 3*g1^64*t^8.268 + t^8.291/g1^20 + g1^26*t^8.422 + t^8.444/g1^58 + 3*g1^72*t^8.552 + t^8.597/g1^96 + 4*g1^34*t^8.705 + 2*g1^80*t^8.835 + t^8.881/g1^88 + 5*g1^42*t^8.989 - (g1^2*t^4.571)/y - (g1^28*t^6.992)/y + t^7.429/(g1^2*y) + (g1^44*t^7.56)/y + (2*g1^6*t^7.713)/y + t^7.866/(g1^32*y) + (2*g1^14*t^7.996)/y + (2*t^8.149)/(g1^24*y) + (2*g1^22*t^8.28)/y + (2*t^8.433)/(g1^16*y) + (3*g1^30*t^8.563)/y + (3*t^8.716)/(g1^8*y) + (3*g1^38*t^8.847)/y - g1^2*t^4.571*y - g1^28*t^6.992*y + (t^7.429*y)/g1^2 + g1^44*t^7.56*y + 2*g1^6*t^7.713*y + (t^7.866*y)/g1^32 + 2*g1^14*t^7.996*y + (2*t^8.149*y)/g1^24 + 2*g1^22*t^8.28*y + (2*t^8.433*y)/g1^16 + 3*g1^30*t^8.563*y + (3*t^8.716*y)/g1^8 + 3*g1^38*t^8.847*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 |
|---|---|---|---|---|---|---|---|---|
| 47262 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ | 0.6 | 0.7706 | 0.7786 | [M:[0.9549, 0.7934, 0.8646, 1.1354, 1.1354], q:[0.7387, 0.3064], qb:[0.4679, 0.3967], phi:[0.5226]] | t^2.109 + t^2.323 + t^2.38 + t^2.865 + t^3.135 + 3*t^3.406 + t^3.677 + t^3.891 + t^3.948 + t^4.161 + t^4.219 + t^4.375 + t^4.432 + t^4.49 + t^4.646 + t^4.703 + t^4.761 + t^4.974 + t^5.187 + 2*t^5.245 + t^5.458 + 3*t^5.516 + 2*t^5.729 + 3*t^5.787 - t^6. - t^4.568/y - t^4.568*y | detail | |
| 46967 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6331 | 0.8324 | 0.7605 | [M:[0.9527, 0.8076, 0.858, 1.142, 0.6687], q:[0.7382, 0.3092], qb:[0.4542, 0.4038], phi:[0.5237]] | t^2.006 + t^2.139 + t^2.29 + t^2.423 + t^2.574 + t^2.858 + t^3.142 + 2*t^3.426 + t^3.71 + t^3.861 + t^4.012 + 2*t^4.145 + t^4.278 + 2*t^4.296 + 2*t^4.429 + t^4.562 + 2*t^4.58 + 2*t^4.713 + t^4.846 + 2*t^4.864 + 2*t^4.997 + 3*t^5.148 + 2*t^5.281 + 4*t^5.432 + 2*t^5.565 + 3*t^5.716 + 2*t^5.849 + t^5.867 + t^6. - t^4.571/y - t^4.571*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46122 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ | 0.625 | 0.8125 | 0.7692 | [M:[0.9507, 0.8203, 0.8521], q:[0.7377, 0.3116], qb:[0.442, 0.4102], phi:[0.5246]] | t^2.165 + t^2.261 + t^2.461 + 2*t^2.556 + t^2.852 + t^3.148 + t^3.444 + t^3.739 + t^3.835 + t^4.035 + t^4.13 + t^4.226 + t^4.331 + t^4.426 + t^4.521 + t^4.626 + 3*t^4.722 + 2*t^4.817 + t^4.922 + 3*t^5.017 + 4*t^5.113 + 2*t^5.313 + 3*t^5.409 + t^5.609 + 2*t^5.704 + t^5.905 + t^6. - t^4.574/y - t^4.574*y | detail |