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 |
|---|---|---|---|---|---|---|---|---|---|
| 4381 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6561 | 0.8258 | 0.7945 | [M:[0.862, 1.0245, 1.089, 0.8129, 1.138, 1.1871, 0.862, 0.7484], q:[0.7561, 0.3819], qb:[0.431, 0.48], phi:[0.4877]] | [M:[[14], [12], [-38], [-10], [-14], [10], [14], [40]], q:[[3], [-17]], qb:[[7], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{8}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{1}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{8}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{8}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.245 + t^2.439 + 2*t^2.586 + t^3.074 + t^3.267 + t^3.561 + t^3.709 + t^3.902 + 2*t^4.049 + t^4.196 + t^4.343 + t^4.491 + t^4.684 + 2*t^4.831 + t^4.877 + 2*t^5.025 + 3*t^5.172 + t^5.319 + 2*t^5.512 + 2*t^5.659 + t^5.807 + t^5.954 - 2*t^6. + 2*t^6.147 + 3*t^6.294 + t^6.341 + t^6.442 + 2*t^6.488 + t^6.534 + t^6.589 + 4*t^6.635 + t^6.736 + 3*t^6.782 - t^6.828 + 3*t^6.929 + 2*t^7.076 + t^7.123 + 3*t^7.27 + 4*t^7.417 + t^7.564 + 3*t^7.61 + 6*t^7.758 + 3*t^7.905 + t^7.951 + 2*t^8.052 + 3*t^8.098 + t^8.199 + 2*t^8.245 - 2*t^8.291 + 4*t^8.392 - 3*t^8.439 + 4*t^8.54 - 4*t^8.586 + 2*t^8.687 + 2*t^8.733 + t^8.779 + t^8.834 + 5*t^8.88 + t^8.981 - t^4.463/y - t^6.709/y - t^7.049/y + t^7.196/y + t^7.684/y - t^7.73/y + (2*t^7.831)/y + t^7.877/y + (2*t^8.025)/y + t^8.172/y + t^8.218/y + t^8.319/y + (2*t^8.512)/y + (2*t^8.659)/y + t^8.706/y + t^8.807/y + (2*t^8.853)/y - t^4.463*y - t^6.709*y - t^7.049*y + t^7.196*y + t^7.684*y - t^7.73*y + 2*t^7.831*y + t^7.877*y + 2*t^8.025*y + t^8.172*y + t^8.218*y + t^8.319*y + 2*t^8.512*y + 2*t^8.659*y + t^8.706*y + t^8.807*y + 2*t^8.853*y | g1^40*t^2.245 + t^2.439/g1^10 + 2*g1^14*t^2.586 + g1^12*t^3.074 + t^3.267/g1^38 + g1^10*t^3.561 + g1^34*t^3.709 + t^3.902/g1^16 + 2*g1^8*t^4.049 + g1^32*t^4.196 + g1^56*t^4.343 + g1^80*t^4.491 + g1^30*t^4.684 + 2*g1^54*t^4.831 + t^4.877/g1^20 + 2*g1^4*t^5.025 + 3*g1^28*t^5.172 + g1^52*t^5.319 + 2*g1^2*t^5.512 + 2*g1^26*t^5.659 + g1^50*t^5.807 + g1^74*t^5.954 - 2*t^6. + 2*g1^24*t^6.147 + 3*g1^48*t^6.294 + t^6.341/g1^26 + g1^72*t^6.442 + (2*t^6.488)/g1^2 + t^6.534/g1^76 + g1^96*t^6.589 + 4*g1^22*t^6.635 + g1^120*t^6.736 + 3*g1^46*t^6.782 - t^6.828/g1^28 + 3*g1^70*t^6.929 + 2*g1^94*t^7.076 + g1^20*t^7.123 + 3*g1^44*t^7.27 + 4*g1^68*t^7.417 + g1^92*t^7.564 + 3*g1^18*t^7.61 + 6*g1^42*t^7.758 + 3*g1^66*t^7.905 + t^7.951/g1^8 + 2*g1^90*t^8.052 + 3*g1^16*t^8.098 + g1^114*t^8.199 + 2*g1^40*t^8.245 - (2*t^8.291)/g1^34 + 4*g1^64*t^8.392 - (3*t^8.439)/g1^10 + 4*g1^88*t^8.54 - 4*g1^14*t^8.586 + 2*g1^112*t^8.687 + 2*g1^38*t^8.733 + t^8.779/g1^36 + g1^136*t^8.834 + 5*g1^62*t^8.88 + g1^160*t^8.981 - t^4.463/(g1^6*y) - (g1^34*t^6.709)/y - (g1^8*t^7.049)/y + (g1^32*t^7.196)/y + (g1^30*t^7.684)/y - t^7.73/(g1^44*y) + (2*g1^54*t^7.831)/y + t^7.877/(g1^20*y) + (2*g1^4*t^8.025)/y + (g1^28*t^8.172)/y + t^8.218/(g1^46*y) + (g1^52*t^8.319)/y + (2*g1^2*t^8.512)/y + (2*g1^26*t^8.659)/y + t^8.706/(g1^48*y) + (g1^50*t^8.807)/y + (2*t^8.853)/(g1^24*y) - (t^4.463*y)/g1^6 - g1^34*t^6.709*y - g1^8*t^7.049*y + g1^32*t^7.196*y + g1^30*t^7.684*y - (t^7.73*y)/g1^44 + 2*g1^54*t^7.831*y + (t^7.877*y)/g1^20 + 2*g1^4*t^8.025*y + g1^28*t^8.172*y + (t^8.218*y)/g1^46 + g1^52*t^8.319*y + 2*g1^2*t^8.512*y + 2*g1^26*t^8.659*y + (t^8.706*y)/g1^48 + g1^50*t^8.807*y + (2*t^8.853*y)/g1^24 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5858 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{9}$ | 0.6441 | 0.8042 | 0.801 | [M:[0.8672, 1.029, 1.0748, 0.8092, 1.1328, 1.1908, 0.8672, 0.7633, 1.1328], q:[0.7572, 0.3756], qb:[0.4336, 0.4916], phi:[0.4855]] | t^2.29 + t^2.428 + t^2.601 + t^3.087 + t^3.225 + t^3.399 + t^3.572 + t^3.746 + t^3.884 + 2*t^4.058 + t^4.232 + t^4.406 + t^4.58 + t^4.717 + t^4.855 + t^4.891 + t^5.029 + t^5.203 + t^5.377 + 2*t^5.514 + 2*t^5.688 + t^5.862 - t^6. - t^4.457/y - t^4.457*y | detail | |
| 5856 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6561 | 0.825 | 0.7952 | [M:[0.8649, 1.027, 1.0811, 0.8108, 1.1351, 1.1892, 0.8649, 0.7568], q:[0.7568, 0.3784], qb:[0.4324, 0.4865], phi:[0.4865]] | t^2.27 + t^2.432 + 2*t^2.595 + t^3.081 + t^3.243 + t^3.568 + t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + t^4.541 + t^4.703 + 3*t^4.865 + 2*t^5.027 + 3*t^5.189 + t^5.351 + 2*t^5.514 + 2*t^5.676 + t^5.838 - t^6. - t^4.459/y - t^4.459*y | detail | {a: 132927/202612, c: 41788/50653, M1: 32/37, M2: 38/37, M3: 40/37, M4: 30/37, M5: 42/37, M6: 44/37, M7: 32/37, M8: 28/37, q1: 28/37, q2: 14/37, qb1: 16/37, qb2: 18/37, phi1: 18/37} |
| 5853 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{8}^{2}$ | 0.6015 | 0.7484 | 0.8037 | [M:[0.95, 1.1, 0.85, 0.75, 1.05, 1.25, 0.95, 1.0], q:[0.775, 0.275], qb:[0.475, 0.675], phi:[0.45]] | t^2.25 + t^2.55 + 2*t^2.85 + t^3. + t^3.3 + t^3.6 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^4.8 + 3*t^5.1 + t^5.25 + t^5.4 + 2*t^5.55 + 3*t^5.7 + 3*t^5.85 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 153987/256000, c: 191587/256000, M1: 19/20, M2: 11/10, M3: 17/20, M4: 3/4, M5: 21/20, M6: 5/4, M7: 19/20, M8: 1, q1: 31/40, q2: 11/40, qb1: 19/40, qb2: 27/40, phi1: 9/20} |
| 5855 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6767 | 0.8656 | 0.7818 | [M:[0.8607, 1.0235, 1.0924, 0.8138, 1.1393, 1.1862, 0.8607, 0.7448, 0.6979], q:[0.7559, 0.3834], qb:[0.4303, 0.4773], phi:[0.4883]] | t^2.094 + t^2.235 + t^2.441 + 2*t^2.582 + t^3.07 + t^3.277 + t^3.559 + t^3.699 + 2*t^4.047 + 2*t^4.188 + 2*t^4.328 + t^4.469 + t^4.535 + 3*t^4.676 + 2*t^4.817 + t^4.883 + 2*t^5.023 + 4*t^5.164 + t^5.305 + t^5.371 + 2*t^5.512 + 3*t^5.652 + 2*t^5.793 + t^5.934 - 2*t^6. - t^4.465/y - t^4.465*y | detail | |
| 5854 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.6749 | 0.8587 | 0.786 | [M:[0.8684, 1.0301, 1.0714, 0.8083, 1.1316, 1.1917, 0.8684, 0.7669, 0.7481], q:[0.7575, 0.3741], qb:[0.4342, 0.4944], phi:[0.485]] | t^2.244 + t^2.301 + t^2.425 + 2*t^2.605 + t^3.09 + t^3.214 + t^3.575 + t^3.88 + 2*t^4.06 + t^4.241 + t^4.421 + t^4.489 + t^4.545 + t^4.601 + t^4.669 + t^4.726 + 3*t^4.85 + 2*t^4.906 + 2*t^5.03 + 3*t^5.211 + t^5.335 + t^5.391 + t^5.459 + 2*t^5.515 + 2*t^5.695 + t^5.82 + t^5.876 - 2*t^6. - t^4.455/y - t^4.455*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2375 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6376 | 0.7908 | 0.8063 | [M:[0.8717, 1.0329, 1.0624, 0.8059, 1.1283, 1.1941, 0.8717], q:[0.7582, 0.37], qb:[0.4359, 0.5017], phi:[0.4835]] | t^2.418 + 2*t^2.615 + t^3.099 + t^3.187 + t^3.582 + t^3.671 + t^3.78 + t^3.868 + 2*t^4.066 + t^4.263 + t^4.461 + t^4.835 + 2*t^5.033 + 3*t^5.23 + t^5.516 + 2*t^5.714 - 2*t^6. - t^4.451/y - t^4.451*y | detail |