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 |
|---|---|---|---|---|---|---|---|---|---|
| 271 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ | 0.6765 | 0.812 | 0.8331 | [M:[1.0, 0.9097, 1.0], q:[0.7922, 0.5452], qb:[0.4548, 0.5452], phi:[0.4157]] | [M:[[0], [-14], [0]], q:[[1], [7]], qb:[[-7], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$ | ${}M_{1}M_{3}$ | -2 | t^2.494 + t^2.729 + 2*t^3. + t^3.741 + t^3.976 + 2*t^4.012 + 2*t^4.247 + 3*t^4.518 + t^4.988 + t^5.223 + t^5.458 + 2*t^5.494 - 2*t^6. - 2*t^6.271 + 2*t^6.47 + t^6.705 + 4*t^6.741 + 2*t^6.976 + 5*t^7.012 + 2*t^7.247 + t^7.482 + 2*t^7.518 + 2*t^7.717 + 2*t^7.952 + 4*t^7.988 + t^8.187 + 2*t^8.223 + 3*t^8.259 + 4*t^8.53 - 3*t^8.729 + t^8.964 - t^4.247/y - t^6.741/y - t^6.976/y + t^7.518/y + t^7.753/y + t^8.223/y + (2*t^8.494)/y + (2*t^8.729)/y - t^4.247*y - t^6.741*y - t^6.976*y + t^7.518*y + t^7.753*y + t^8.223*y + 2*t^8.494*y + 2*t^8.729*y | t^2.494/g1^4 + t^2.729/g1^14 + 2*t^3. + t^3.741/g1^6 + t^3.976/g1^16 + 2*g1^8*t^4.012 + (2*t^4.247)/g1^2 + 3*g1^12*t^4.518 + t^4.988/g1^8 + t^5.223/g1^18 + t^5.458/g1^28 + (2*t^5.494)/g1^4 - 2*t^6. - 2*g1^14*t^6.271 + (2*t^6.47)/g1^20 + t^6.705/g1^30 + (4*t^6.741)/g1^6 + (2*t^6.976)/g1^16 + 5*g1^8*t^7.012 + (2*t^7.247)/g1^2 + t^7.482/g1^12 + 2*g1^12*t^7.518 + (2*t^7.717)/g1^22 + (2*t^7.952)/g1^32 + (4*t^7.988)/g1^8 + t^8.187/g1^42 + (2*t^8.223)/g1^18 + 3*g1^6*t^8.259 + 4*g1^20*t^8.53 - (3*t^8.729)/g1^14 + t^8.964/g1^24 - t^4.247/(g1^2*y) - t^6.741/(g1^6*y) - t^6.976/(g1^16*y) + (g1^12*t^7.518)/y + (g1^2*t^7.753)/y + t^8.223/(g1^18*y) + (2*t^8.494)/(g1^4*y) + (2*t^8.729)/(g1^14*y) - (t^4.247*y)/g1^2 - (t^6.741*y)/g1^6 - (t^6.976*y)/g1^16 + g1^12*t^7.518*y + g1^2*t^7.753*y + (t^8.223*y)/g1^18 + (2*t^8.494*y)/g1^4 + (2*t^8.729*y)/g1^14 |
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 |
|---|---|---|---|---|---|---|---|---|
| 443 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}^{2}$ | 0.6707 | 0.8047 | 0.8336 | [M:[1.0, 1.0, 1.0], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]] | t^2.571 + 3*t^3. + 3*t^3.857 + 6*t^4.286 + t^5.143 + 3*t^5.571 - 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 3681/5488, c: 276/343, M1: 1, M2: 1, M3: 1, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7} |
| 440 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6973 | 0.8533 | 0.8172 | [M:[1.0, 0.912, 1.0, 0.672], q:[0.792, 0.544], qb:[0.456, 0.544], phi:[0.416]] | t^2.016 + t^2.496 + t^2.736 + 2*t^3. + t^3.744 + 2*t^4.008 + t^4.032 + 2*t^4.248 + 4*t^4.512 + t^4.752 + t^4.992 + 2*t^5.016 + t^5.232 + t^5.472 + 2*t^5.496 + t^5.76 - 2*t^6. - t^4.248/y - t^4.248*y | detail | |
| 439 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6955 | 0.8466 | 0.8215 | [M:[1.0, 0.9217, 1.0, 0.7479], q:[0.7913, 0.5392], qb:[0.4608, 0.5392], phi:[0.4174]] | t^2.244 + t^2.504 + t^2.765 + 2*t^3. + 2*t^3.991 + t^4.017 + 2*t^4.252 + 4*t^4.487 + t^4.748 + 2*t^5.009 + 2*t^5.244 + t^5.269 + 2*t^5.504 + t^5.53 - 2*t^6. - t^4.252/y - t^4.252*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 |
|---|---|---|---|---|---|---|---|---|---|
| 172 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ | 0.6869 | 0.8254 | 0.8322 | [M:[1.0, 0.8713, 0.8713], q:[0.8041, 0.5], qb:[0.5, 0.6287], phi:[0.3918]] | t^2.351 + 2*t^2.614 + t^3. + 2*t^3.912 + 3*t^4.175 + t^4.298 + 2*t^4.561 + t^4.702 + t^4.948 + 2*t^4.965 + 3*t^5.228 + t^5.351 - 4*t^6. - t^4.175/y - t^4.175*y | detail |