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 |
|---|---|---|---|---|---|---|---|---|---|
| 864 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6395 | 0.796 | 0.8033 | [X:[1.5608], M:[0.4392, 1.1869, 0.7804, 0.8784, 0.6823], q:[0.7967, 0.7641], qb:[0.4556, 0.3575], phi:[0.4065]] | [X:[[12]], M:[[-12], [4], [6], [-24], [36]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.047 + t^2.341 + t^2.439 + t^2.635 + t^3.365 + t^3.463 + t^3.561 + t^3.659 + t^3.757 + t^4.094 + t^4.388 + t^4.486 + t^4.584 + 3*t^4.682 + 2*t^4.878 + t^4.976 + t^5.271 + t^5.412 + t^5.51 + t^5.608 + t^5.706 + 4*t^5.804 + t^5.902 - t^6. + 2*t^6.098 + t^6.141 + t^6.196 - t^6.294 + t^6.392 + t^6.435 + t^6.533 + t^6.631 + 4*t^6.729 + t^6.827 + 2*t^6.925 + 4*t^7.024 + t^7.122 + 4*t^7.318 + t^7.459 + t^7.557 + t^7.612 + t^7.655 + t^7.753 + 4*t^7.851 + t^7.906 + 2*t^7.949 + 3*t^8.145 + t^8.188 + 3*t^8.243 - 2*t^8.341 + t^8.439 + t^8.482 + t^8.58 - 3*t^8.635 + t^8.678 + 4*t^8.776 + t^8.874 - t^8.929 + 2*t^8.973 - t^4.22/y - t^6.267/y - t^6.561/y - t^6.855/y + t^7.388/y + t^7.486/y + t^7.584/y + t^7.682/y + t^7.78/y + t^7.878/y + t^7.976/y + t^8.075/y + t^8.173/y - t^8.314/y + t^8.412/y + t^8.51/y + (2*t^8.706)/y + (3*t^8.804)/y - t^4.22*y - t^6.267*y - t^6.561*y - t^6.855*y + t^7.388*y + t^7.486*y + t^7.584*y + t^7.682*y + t^7.78*y + t^7.878*y + t^7.976*y + t^8.075*y + t^8.173*y - t^8.314*y + t^8.412*y + t^8.51*y + 2*t^8.706*y + 3*t^8.804*y | g1^36*t^2.047 + g1^6*t^2.341 + t^2.439/g1^4 + t^2.635/g1^24 + g1^24*t^3.365 + g1^14*t^3.463 + g1^4*t^3.561 + t^3.659/g1^6 + t^3.757/g1^16 + g1^72*t^4.094 + g1^42*t^4.388 + g1^32*t^4.486 + g1^22*t^4.584 + 3*g1^12*t^4.682 + (2*t^4.878)/g1^8 + t^4.976/g1^18 + t^5.271/g1^48 + g1^60*t^5.412 + g1^50*t^5.51 + g1^40*t^5.608 + g1^30*t^5.706 + 4*g1^20*t^5.804 + g1^10*t^5.902 - t^6. + (2*t^6.098)/g1^10 + g1^108*t^6.141 + t^6.196/g1^20 - t^6.294/g1^30 + t^6.392/g1^40 + g1^78*t^6.435 + g1^68*t^6.533 + g1^58*t^6.631 + 4*g1^48*t^6.729 + g1^38*t^6.827 + 2*g1^28*t^6.925 + 4*g1^18*t^7.024 + g1^8*t^7.122 + (4*t^7.318)/g1^12 + g1^96*t^7.459 + g1^86*t^7.557 + t^7.612/g1^42 + g1^76*t^7.655 + g1^66*t^7.753 + 4*g1^56*t^7.851 + t^7.906/g1^72 + 2*g1^46*t^7.949 + 3*g1^26*t^8.145 + g1^144*t^8.188 + 3*g1^16*t^8.243 - 2*g1^6*t^8.341 + t^8.439/g1^4 + g1^114*t^8.482 + g1^104*t^8.58 - (3*t^8.635)/g1^24 + g1^94*t^8.678 + 4*g1^84*t^8.776 + g1^74*t^8.874 - t^8.929/g1^54 + 2*g1^64*t^8.973 - t^4.22/(g1^2*y) - (g1^34*t^6.267)/y - (g1^4*t^6.561)/y - t^6.855/(g1^26*y) + (g1^42*t^7.388)/y + (g1^32*t^7.486)/y + (g1^22*t^7.584)/y + (g1^12*t^7.682)/y + (g1^2*t^7.78)/y + t^7.878/(g1^8*y) + t^7.976/(g1^18*y) + t^8.075/(g1^28*y) + t^8.173/(g1^38*y) - (g1^70*t^8.314)/y + (g1^60*t^8.412)/y + (g1^50*t^8.51)/y + (2*g1^30*t^8.706)/y + (3*g1^20*t^8.804)/y - (t^4.22*y)/g1^2 - g1^34*t^6.267*y - g1^4*t^6.561*y - (t^6.855*y)/g1^26 + g1^42*t^7.388*y + g1^32*t^7.486*y + g1^22*t^7.584*y + g1^12*t^7.682*y + g1^2*t^7.78*y + (t^7.878*y)/g1^8 + (t^7.976*y)/g1^18 + (t^8.075*y)/g1^28 + (t^8.173*y)/g1^38 - g1^70*t^8.314*y + g1^60*t^8.412*y + g1^50*t^8.51*y + 2*g1^30*t^8.706*y + 3*g1^20*t^8.804*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 |
|---|---|---|---|---|---|---|---|---|
| 1358 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}X_{2}$ | 0.4897 | 0.5939 | 0.8246 | [X:[1.7143, 1.4286], M:[0.2857, 1.2381, 0.8571, 0.5714, 1.1429], q:[0.8095, 0.9048], qb:[0.2381, 0.5238], phi:[0.381]] | t^2.286 + t^2.571 + t^3.143 + 2*t^3.429 + t^3.714 + 2*t^4.286 + 2*t^4.571 + t^5.429 + 2*t^5.714 - t^6. - t^4.143/y - t^4.143*y | detail | {a: 8063/16464, c: 4889/8232, X1: 12/7, X2: 10/7, M1: 2/7, M2: 26/21, M3: 6/7, M4: 4/7, M5: 8/7, q1: 17/21, q2: 19/21, qb1: 5/21, qb2: 11/21, phi1: 8/21} |
| 2043 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6587 | 0.832 | 0.7917 | [X:[1.5568], M:[0.4432, 1.1856, 0.7784, 0.8863, 0.6705, 0.7424], q:[0.7964, 0.7604], qb:[0.4612, 0.3532], phi:[0.4072]] | t^2.011 + t^2.227 + t^2.335 + t^2.443 + t^2.659 + t^3.341 + t^3.449 + t^3.557 + t^3.665 + t^4.023 + t^4.239 + t^4.347 + 2*t^4.455 + 2*t^4.563 + 4*t^4.67 + 3*t^4.886 + t^4.994 + t^5.318 + t^5.352 + t^5.46 + 2*t^5.568 + 2*t^5.676 + 4*t^5.784 + 2*t^5.892 - t^6. - t^4.222/y - t^4.222*y | detail | |
| 2042 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6532 | 0.8187 | 0.7978 | [X:[1.5674], M:[0.4326, 1.1891, 0.7837, 0.8652, 0.7022, 0.838], q:[0.7973, 0.7701], qb:[0.4462, 0.3647], phi:[0.4054]] | t^2.107 + t^2.351 + t^2.433 + t^2.514 + t^2.596 + t^3.404 + t^3.567 + t^3.649 + t^3.73 + t^4.213 + t^4.458 + t^4.539 + 2*t^4.621 + 3*t^4.702 + 3*t^4.865 + 2*t^4.947 + t^5.028 + t^5.11 + t^5.191 + t^5.511 + t^5.674 + t^5.756 + 3*t^5.837 + t^5.919 - t^6. - t^4.216/y - t^4.216*y | detail | |
| 1357 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ | 0.6513 | 0.815 | 0.7992 | [X:[1.5729], M:[0.4271, 1.191, 0.7864, 0.8542, 0.7187, 0.8542], q:[0.7977, 0.7752], qb:[0.4384, 0.3706], phi:[0.4045]] | t^2.156 + t^2.359 + t^2.427 + 2*t^2.563 + t^3.505 + t^3.573 + t^3.641 + t^3.708 + t^4.312 + t^4.515 + t^4.583 + t^4.651 + 4*t^4.719 + 2*t^4.854 + 2*t^4.922 + t^4.99 + 3*t^5.125 + t^5.661 + t^5.729 + 3*t^5.864 + t^5.932 - 2*t^6. - t^4.214/y - t^4.214*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 |
|---|---|---|---|---|---|---|---|---|---|
| 549 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.6187 | 0.7555 | 0.819 | [X:[1.5641], M:[0.4359, 1.188, 0.782, 0.8719], q:[0.797, 0.7671], qb:[0.4509, 0.3611], phi:[0.406]] | t^2.346 + t^2.436 + t^2.616 + t^3.384 + t^3.474 + t^3.564 + t^3.654 + t^3.744 + t^3.924 + t^4.602 + 2*t^4.692 + 2*t^4.872 + t^4.962 + t^5.231 + 3*t^5.82 + t^5.91 - t^6. - t^4.218/y - t^4.218*y | detail |