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 |
|---|---|---|---|---|---|---|---|---|---|
| 1982 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6481 | 0.8005 | 0.8096 | [M:[1.122, 0.7318, 0.878, 0.878, 1.2195, 0.6831], q:[0.8049, 0.5121], qb:[0.3659, 0.7562], phi:[0.3903]] | [M:[[16], [14], [-16], [-16], [-4], [24]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.049 + t^2.195 + 2*t^2.634 + t^3.366 + t^3.512 + t^3.658 + t^3.805 + t^4.098 + t^4.243 + t^4.245 + t^4.391 + t^4.537 + 3*t^4.683 + t^4.829 + t^4.975 + 2*t^5.268 + t^5.415 + t^5.562 + 3*t^5.708 + t^5.854 - t^6. + t^6.146 + t^6.148 + 2*t^6.292 + t^6.294 + t^6.438 + t^6.44 + 2*t^6.586 + 3*t^6.732 + 2*t^6.877 + 2*t^6.878 + 2*t^7.025 + t^7.171 + 3*t^7.317 + t^7.463 + t^7.465 + t^7.609 + t^7.611 + 3*t^7.757 + 2*t^7.902 + 3*t^7.903 + t^8.048 - t^8.195 + t^8.197 + 3*t^8.342 + t^8.343 + t^8.486 + t^8.489 - 4*t^8.634 + 2*t^8.635 + t^8.78 + 4*t^8.781 + 2*t^8.926 + 2*t^8.928 - t^4.171/y - t^6.22/y - t^6.366/y - t^6.805/y + t^7.245/y + t^7.537/y + (2*t^7.683)/y + (2*t^7.829)/y + t^7.975/y + t^8.122/y + t^8.268/y - t^8.269/y + t^8.562/y + (2*t^8.708)/y + t^8.854/y - t^4.171*y - t^6.22*y - t^6.366*y - t^6.805*y + t^7.245*y + t^7.537*y + 2*t^7.683*y + 2*t^7.829*y + t^7.975*y + t^8.122*y + t^8.268*y - t^8.269*y + t^8.562*y + 2*t^8.708*y + t^8.854*y | g1^24*t^2.049 + g1^14*t^2.195 + (2*t^2.634)/g1^16 + g1^16*t^3.366 + g1^6*t^3.512 + t^3.658/g1^4 + t^3.805/g1^14 + g1^48*t^4.098 + t^4.243/g1^44 + g1^38*t^4.245 + g1^28*t^4.391 + g1^18*t^4.537 + 3*g1^8*t^4.683 + t^4.829/g1^2 + t^4.975/g1^12 + (2*t^5.268)/g1^32 + g1^40*t^5.415 + g1^30*t^5.562 + 3*g1^20*t^5.708 + g1^10*t^5.854 - t^6. + t^6.146/g1^10 + g1^72*t^6.148 + (2*t^6.292)/g1^20 + g1^62*t^6.294 + t^6.438/g1^30 + g1^52*t^6.44 + 2*g1^42*t^6.586 + 3*g1^32*t^6.732 + (2*t^6.877)/g1^60 + 2*g1^22*t^6.878 + 2*g1^12*t^7.025 + g1^2*t^7.171 + (3*t^7.317)/g1^8 + t^7.463/g1^18 + g1^64*t^7.465 + t^7.609/g1^28 + g1^54*t^7.611 + 3*g1^44*t^7.757 + (2*t^7.902)/g1^48 + 3*g1^34*t^7.903 + t^8.048/g1^58 - g1^14*t^8.195 + g1^96*t^8.197 + 3*g1^4*t^8.342 + g1^86*t^8.343 + t^8.486/g1^88 + g1^76*t^8.489 - (4*t^8.634)/g1^16 + 2*g1^66*t^8.635 + t^8.78/g1^26 + 4*g1^56*t^8.781 + (2*t^8.926)/g1^36 + 2*g1^46*t^8.928 - (g1^2*t^4.171)/y - (g1^26*t^6.22)/y - (g1^16*t^6.366)/y - t^6.805/(g1^14*y) + (g1^38*t^7.245)/y + (g1^18*t^7.537)/y + (2*g1^8*t^7.683)/y + (2*t^7.829)/(g1^2*y) + t^7.975/(g1^12*y) + t^8.122/(g1^22*y) + t^8.268/(g1^32*y) - (g1^50*t^8.269)/y + (g1^30*t^8.562)/y + (2*g1^20*t^8.708)/y + (g1^10*t^8.854)/y - g1^2*t^4.171*y - g1^26*t^6.22*y - g1^16*t^6.366*y - (t^6.805*y)/g1^14 + g1^38*t^7.245*y + g1^18*t^7.537*y + 2*g1^8*t^7.683*y + (2*t^7.829*y)/g1^2 + (t^7.975*y)/g1^12 + (t^8.122*y)/g1^22 + (t^8.268*y)/g1^32 - g1^50*t^8.269*y + g1^30*t^8.562*y + 2*g1^20*t^8.708*y + g1^10*t^8.854*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 |
|---|---|---|---|---|---|---|---|---|
| 3034 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{7}$ | 0.6596 | 0.8201 | 0.8043 | [M:[1.1354, 0.7434, 0.8646, 0.8646, 1.2162, 0.703, 0.8646], q:[0.804, 0.4929], qb:[0.3717, 0.7636], phi:[0.3919]] | t^2.109 + t^2.23 + 3*t^2.594 + t^3.527 + t^3.648 + t^3.77 + t^4.133 + t^4.218 + t^4.339 + t^4.461 + t^4.582 + 4*t^4.703 + 2*t^4.824 + t^4.945 + 5*t^5.188 + 3*t^5.758 + t^5.879 - 3*t^6. - t^4.176/y - t^4.176*y | detail | |
| 3035 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6628 | 0.8259 | 0.8025 | [M:[1.1264, 0.7356, 0.8736, 0.8736, 1.2184, 0.6897, 0.8276], q:[0.8046, 0.5057], qb:[0.3678, 0.7586], phi:[0.3908]] | t^2.069 + t^2.207 + t^2.483 + 2*t^2.621 + t^3.379 + t^3.655 + t^3.793 + t^4.138 + t^4.207 + t^4.276 + t^4.414 + 2*t^4.552 + 4*t^4.69 + t^4.828 + 2*t^4.966 + 2*t^5.103 + 2*t^5.241 + t^5.448 + 2*t^5.724 + 2*t^5.862 - t^6. - t^4.172/y - t^4.172*y | detail | {a: 26755/40368, c: 16669/20184, M1: 98/87, M2: 64/87, M3: 76/87, M4: 76/87, M5: 106/87, M6: 20/29, M7: 24/29, q1: 70/87, q2: 44/87, qb1: 32/87, qb2: 22/29, phi1: 34/87} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 725 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6274 | 0.7602 | 0.8253 | [M:[1.1249, 0.7343, 0.8751, 0.8751, 1.2188], q:[0.8047, 0.5079], qb:[0.3672, 0.7578], phi:[0.3906]] | t^2.203 + 2*t^2.625 + t^3.375 + t^3.516 + t^3.656 + t^3.797 + t^3.938 + t^4.219 + t^4.406 + t^4.547 + t^4.687 + t^4.828 + t^4.969 + 2*t^5.25 + 2*t^5.719 - t^6. - t^4.172/y - t^4.172*y | detail |