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 |
|---|---|---|---|---|---|---|---|---|---|
| 418 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.6699 | 0.8219 | 0.8151 | [M:[1.0, 1.1136, 0.9887, 0.6818], q:[0.7784, 0.4375], qb:[0.5625, 0.4488], phi:[0.4432]] | [M:[[0], [4], [-18], [24]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$ | ${}$ | -1 | t^2.045 + t^2.659 + t^2.966 + t^3. + t^3.341 + t^3.648 + t^3.682 + t^3.989 + 2*t^4.023 + t^4.091 + t^4.33 + t^4.364 + 2*t^4.704 + t^5.011 + t^5.045 + t^5.318 + t^5.386 + t^5.693 + t^5.727 + t^5.932 - t^6. + 2*t^6.068 + t^6.136 + t^6.307 + t^6.409 + t^6.614 + 2*t^6.648 + 2*t^6.682 + 2*t^6.75 + 2*t^6.989 + 2*t^7.023 + t^7.057 + t^7.091 + t^7.33 + 3*t^7.364 + t^7.431 + 2*t^7.67 + 2*t^7.704 + t^7.738 + t^7.772 + 2*t^7.977 + 2*t^8.011 + 2*t^8.045 + 2*t^8.113 + t^8.181 - t^8.318 + 2*t^8.352 + 2*t^8.386 + t^8.454 - t^8.625 - t^8.659 + t^8.693 + 4*t^8.727 + 2*t^8.795 + t^8.898 - 2*t^8.966 - t^4.33/y - t^6.375/y - t^7.296/y + t^7.364/y + t^7.704/y + t^8.011/y + t^8.045/y + t^8.284/y + t^8.386/y - t^8.42/y + t^8.625/y + t^8.659/y + t^8.693/y + t^8.727/y + t^8.966/y - t^4.33*y - t^6.375*y - t^7.296*y + t^7.364*y + t^7.704*y + t^8.011*y + t^8.045*y + t^8.284*y + t^8.386*y - t^8.42*y + t^8.625*y + t^8.659*y + t^8.693*y + t^8.727*y + t^8.966*y | g1^24*t^2.045 + t^2.659/g1^4 + t^2.966/g1^18 + t^3. + g1^4*t^3.341 + t^3.648/g1^10 + g1^8*t^3.682 + t^3.989/g1^6 + 2*g1^12*t^4.023 + g1^48*t^4.091 + t^4.33/g1^2 + g1^16*t^4.364 + 2*g1^20*t^4.704 + g1^6*t^5.011 + g1^24*t^5.045 + t^5.318/g1^8 + g1^28*t^5.386 + g1^14*t^5.693 + g1^32*t^5.727 + t^5.932/g1^36 - t^6. + 2*g1^36*t^6.068 + g1^72*t^6.136 + t^6.307/g1^14 + g1^40*t^6.409 + t^6.614/g1^28 + (2*t^6.648)/g1^10 + 2*g1^8*t^6.682 + 2*g1^44*t^6.75 + (2*t^6.989)/g1^6 + 2*g1^12*t^7.023 + g1^30*t^7.057 + g1^48*t^7.091 + t^7.33/g1^2 + 3*g1^16*t^7.364 + g1^52*t^7.431 + 2*g1^2*t^7.67 + 2*g1^20*t^7.704 + g1^38*t^7.738 + g1^56*t^7.772 + (2*t^7.977)/g1^12 + 2*g1^6*t^8.011 + 2*g1^24*t^8.045 + 2*g1^60*t^8.113 + g1^96*t^8.181 - t^8.318/g1^8 + 2*g1^10*t^8.352 + 2*g1^28*t^8.386 + g1^64*t^8.454 - t^8.625/g1^22 - t^8.659/g1^4 + g1^14*t^8.693 + 4*g1^32*t^8.727 + 2*g1^68*t^8.795 + t^8.898/g1^54 - (2*t^8.966)/g1^18 - t^4.33/(g1^2*y) - (g1^22*t^6.375)/y - t^7.296/(g1^20*y) + (g1^16*t^7.364)/y + (g1^20*t^7.704)/y + (g1^6*t^8.011)/y + (g1^24*t^8.045)/y + t^8.284/(g1^26*y) + (g1^28*t^8.386)/y - (g1^46*t^8.42)/y + t^8.625/(g1^22*y) + t^8.659/(g1^4*y) + (g1^14*t^8.693)/y + (g1^32*t^8.727)/y + t^8.966/(g1^18*y) - (t^4.33*y)/g1^2 - g1^22*t^6.375*y - (t^7.296*y)/g1^20 + g1^16*t^7.364*y + g1^20*t^7.704*y + g1^6*t^8.011*y + g1^24*t^8.045*y + (t^8.284*y)/g1^26 + g1^28*t^8.386*y - g1^46*t^8.42*y + (t^8.625*y)/g1^22 + (t^8.659*y)/g1^4 + g1^14*t^8.693*y + g1^32*t^8.727*y + (t^8.966*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 686 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{4}$ | 0.6489 | 0.7917 | 0.8196 | [M:[1.0, 1.1429, 0.8571, 0.8571], q:[0.7857, 0.3571], qb:[0.6429, 0.5], phi:[0.4286]] | 3*t^2.571 + t^3. + 2*t^3.429 + 2*t^3.857 + 3*t^4.286 + t^4.714 + 6*t^5.143 + t^5.571 + 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 3561/5488, c: 4345/5488, M1: 1, M2: 8/7, M3: 6/7, M4: 6/7, q1: 11/14, q2: 5/14, qb1: 9/14, qb2: 1/2, phi1: 3/7} |
| 688 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6666 | 0.8151 | 0.8179 | [M:[1.0, 1.125, 0.9375, 0.75], q:[0.7813, 0.4063], qb:[0.5938, 0.4688], phi:[0.4375]] | t^2.25 + t^2.625 + t^2.813 + t^3. + t^3.375 + t^3.563 + t^3.75 + t^3.938 + 2*t^4.125 + t^4.313 + 2*t^4.5 + 2*t^4.875 + t^5.063 + 2*t^5.25 + 2*t^5.625 + t^5.813 - t^4.313/y - t^4.313*y | detail | {a: 43689/65536, c: 53417/65536, M1: 1, M2: 9/8, M3: 15/16, M4: 3/4, q1: 25/32, q2: 13/32, qb1: 19/32, qb2: 15/32, phi1: 7/16} |
| 685 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}^{2}$ | 0.6032 | 0.7386 | 0.8167 | [M:[1.0, 1.1667, 0.75, 1.0], q:[0.7917, 0.2917], qb:[0.7083, 0.5417], phi:[0.4167]] | t^2.25 + t^2.5 + 2*t^3. + t^3.25 + t^3.5 + t^3.75 + t^4. + t^4.25 + 3*t^4.5 + 2*t^5. + t^5.25 + 3*t^5.5 + t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 1853/3072, c: 2269/3072, M1: 1, M2: 7/6, M3: 3/4, M4: 1, q1: 19/24, q2: 7/24, qb1: 17/24, qb2: 13/24, phi1: 5/12} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 263 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ | 0.6492 | 0.7814 | 0.8308 | [M:[1.0, 1.1152, 0.9817], q:[0.7788, 0.4333], qb:[0.5667, 0.4515], phi:[0.4424]] | t^2.654 + t^2.945 + t^3. + t^3.346 + t^3.636 + t^3.691 + t^3.927 + t^3.982 + 2*t^4.037 + t^4.327 + t^4.382 + t^4.728 + t^5.309 + t^5.89 - t^6. - t^4.327/y - t^4.327*y | detail |