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 |
|---|---|---|---|---|---|---|---|---|---|
| 353 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6916 | 0.8641 | 0.8004 | [M:[0.6876, 1.1041, 0.6876], q:[0.776, 0.5363], qb:[0.4637, 0.4322], phi:[0.4479]] | [M:[[-12], [4], [-12]], q:[[1], [11]], qb:[[-11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -1 | 2*t^2.063 + t^2.688 + t^2.906 + t^3. + t^3.312 + t^3.625 + t^3.719 + t^4.031 + 4*t^4.126 + t^4.249 + t^4.344 + t^4.562 + 2*t^4.751 + 2*t^4.969 + 2*t^5.063 + 3*t^5.375 + t^5.593 + 2*t^5.688 + t^5.782 + t^5.811 - t^6. + t^6.094 + 6*t^6.189 + 2*t^6.312 + 2*t^6.407 + t^6.53 + 3*t^6.625 + t^6.719 + 4*t^6.814 + t^6.937 + 4*t^7.031 + 3*t^7.126 + t^7.155 + t^7.249 + 5*t^7.438 + t^7.467 + t^7.656 + 4*t^7.751 + 2*t^7.845 + 2*t^7.874 - t^8.063 + 2*t^8.157 + 9*t^8.252 + 3*t^8.375 + 3*t^8.47 + t^8.499 + t^8.593 + 3*t^8.688 + t^8.717 + t^8.782 + t^8.811 + 6*t^8.876 - 2*t^8.906 - t^4.344/y - (2*t^6.407)/y + t^7.126/y + (2*t^7.751)/y + (2*t^7.969)/y + (2*t^8.063)/y + (2*t^8.281)/y + (2*t^8.375)/y - (3*t^8.47)/y + t^8.593/y + (3*t^8.688)/y + (2*t^8.782)/y + t^8.906/y - t^4.344*y - 2*t^6.407*y + t^7.126*y + 2*t^7.751*y + 2*t^7.969*y + 2*t^8.063*y + 2*t^8.281*y + 2*t^8.375*y - 3*t^8.47*y + t^8.593*y + 3*t^8.688*y + 2*t^8.782*y + t^8.906*y | (2*t^2.063)/g1^12 + t^2.688/g1^4 + g1^18*t^2.906 + t^3. + g1^4*t^3.312 + g1^8*t^3.625 + t^3.719/g1^10 + t^4.031/g1^6 + (4*t^4.126)/g1^24 + g1^16*t^4.249 + t^4.344/g1^2 + g1^20*t^4.562 + (2*t^4.751)/g1^16 + 2*g1^6*t^4.969 + (2*t^5.063)/g1^12 + (3*t^5.375)/g1^8 + g1^14*t^5.593 + (2*t^5.688)/g1^4 + t^5.782/g1^22 + g1^36*t^5.811 - t^6. + t^6.094/g1^18 + (6*t^6.189)/g1^36 + 2*g1^4*t^6.312 + (2*t^6.407)/g1^14 + g1^26*t^6.53 + 3*g1^8*t^6.625 + t^6.719/g1^10 + (4*t^6.814)/g1^28 + g1^12*t^6.937 + (4*t^7.031)/g1^6 + (3*t^7.126)/g1^24 + g1^34*t^7.155 + g1^16*t^7.249 + (5*t^7.438)/g1^20 + g1^38*t^7.467 + g1^2*t^7.656 + (4*t^7.751)/g1^16 + (2*t^7.845)/g1^34 + 2*g1^24*t^7.874 - t^8.063/g1^12 + (2*t^8.157)/g1^30 + (9*t^8.252)/g1^48 + (3*t^8.375)/g1^8 + (3*t^8.47)/g1^26 + g1^32*t^8.499 + g1^14*t^8.593 + (3*t^8.688)/g1^4 + g1^54*t^8.717 + t^8.782/g1^22 + g1^36*t^8.811 + (6*t^8.876)/g1^40 - 2*g1^18*t^8.906 - t^4.344/(g1^2*y) - (2*t^6.407)/(g1^14*y) + t^7.126/(g1^24*y) + (2*t^7.751)/(g1^16*y) + (2*g1^6*t^7.969)/y + (2*t^8.063)/(g1^12*y) + (2*g1^10*t^8.281)/y + (2*t^8.375)/(g1^8*y) - (3*t^8.47)/(g1^26*y) + (g1^14*t^8.593)/y + (3*t^8.688)/(g1^4*y) + (2*t^8.782)/(g1^22*y) + (g1^18*t^8.906)/y - (t^4.344*y)/g1^2 - (2*t^6.407*y)/g1^14 + (t^7.126*y)/g1^24 + (2*t^7.751*y)/g1^16 + 2*g1^6*t^7.969*y + (2*t^8.063*y)/g1^12 + 2*g1^10*t^8.281*y + (2*t^8.375*y)/g1^8 - (3*t^8.47*y)/g1^26 + g1^14*t^8.593*y + (3*t^8.688*y)/g1^4 + (2*t^8.782*y)/g1^22 + g1^18*t^8.906*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 |
|---|---|---|---|---|---|---|---|---|
| 1805 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ | 0.688 | 0.8585 | 0.8014 | [M:[0.7273, 1.0909, 0.7273], q:[0.7727, 0.5], qb:[0.5, 0.4091], phi:[0.4545]] | 2*t^2.182 + 2*t^2.727 + t^3. + t^3.273 + t^3.545 + t^3.818 + 2*t^4.091 + 6*t^4.364 + 4*t^4.909 + 2*t^5.182 + 5*t^5.455 + 2*t^5.727 - t^4.364/y - t^4.364*y | detail | {a: 333/484, c: 831/968, M1: 8/11, M2: 12/11, M3: 8/11, q1: 17/22, q2: 1/2, qb1: 1/2, qb2: 9/22, phi1: 5/11} |
| 1804 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.7087 | 0.895 | 0.7919 | [M:[0.6797, 1.1068, 0.6797, 0.7864], q:[0.7767, 0.5436], qb:[0.4564, 0.4369], phi:[0.4466]] | 2*t^2.039 + t^2.359 + t^2.68 + t^2.941 + t^3. + t^3.32 + t^3.699 + t^4.02 + 4*t^4.078 + t^4.281 + t^4.34 + 2*t^4.398 + t^4.602 + 3*t^4.719 + 2*t^4.98 + 3*t^5.039 + t^5.301 + 4*t^5.359 + t^5.621 + t^5.68 + t^5.738 + t^5.883 - t^6. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 220 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.6709 | 0.8239 | 0.8143 | [M:[0.6905, 1.1032], q:[0.7758, 0.5338], qb:[0.4662, 0.4306], phi:[0.4484]] | t^2.071 + t^2.69 + t^2.893 + t^3. + t^3.31 + t^3.619 + t^3.726 + t^3.929 + t^4.036 + 2*t^4.143 + t^4.238 + t^4.345 + t^4.548 + t^4.762 + t^4.964 + t^5.071 + 2*t^5.381 + t^5.583 + t^5.69 + t^5.786 - t^4.345/y - t^4.345*y | detail |