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 |
|---|---|---|---|---|---|---|---|---|---|
| 2992 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6748 | 0.8603 | 0.7844 | [M:[1.193, 0.7437, 0.807, 1.1297, 0.8703, 0.7089], q:[0.4351, 0.3718], qb:[0.7579, 0.4984], phi:[0.4842]] | [M:[[10], [-34], [-10], [-14], [14], [16]], q:[[7], [-17]], qb:[[3], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{5}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}$ | -1 | t^2.127 + t^2.231 + t^2.421 + t^2.611 + t^2.801 + t^2.905 + t^3.389 + t^3.579 + t^3.684 + 2*t^4.063 + 2*t^4.253 + t^4.358 + t^4.443 + t^4.462 + t^4.547 + t^4.652 + t^4.737 + 2*t^4.842 + t^4.927 + 3*t^5.032 + t^5.136 + 2*t^5.222 + t^5.326 + t^5.411 + 2*t^5.516 + t^5.601 + 2*t^5.706 + 2*t^5.81 + t^5.915 - t^6. + t^6.104 + t^6.19 + 3*t^6.294 + 2*t^6.38 + 4*t^6.484 + t^6.57 + 2*t^6.589 + 3*t^6.674 + t^6.693 + 4*t^6.864 + t^6.883 + 3*t^6.968 + 3*t^7.054 + 2*t^7.073 + 2*t^7.158 + t^7.244 + 2*t^7.263 + 2*t^7.348 + 2*t^7.367 + 2*t^7.453 + t^7.557 + 4*t^7.642 + t^7.728 + 3*t^7.747 + 4*t^7.832 + 3*t^7.937 + 2*t^8.022 + t^8.041 + 2*t^8.127 + t^8.146 + t^8.212 - t^8.231 + 2*t^8.316 + t^8.335 + t^8.402 - t^8.421 + 5*t^8.506 + 3*t^8.525 + 2*t^8.696 + 5*t^8.715 - t^8.801 + 2*t^8.82 + t^8.886 + 2*t^8.905 + t^8.924 + 2*t^8.991 - t^4.453/y - t^6.579/y - t^6.684/y + (2*t^7.547)/y + t^7.652/y + t^7.737/y + t^7.842/y + t^7.927/y + (3*t^8.032)/y + t^8.136/y + (2*t^8.222)/y + (2*t^8.326)/y + t^8.411/y + (2*t^8.516)/y + t^8.62/y + t^8.706/y + (2*t^8.81)/y - t^4.453*y - t^6.579*y - t^6.684*y + 2*t^7.547*y + t^7.652*y + t^7.737*y + t^7.842*y + t^7.927*y + 3*t^8.032*y + t^8.136*y + 2*t^8.222*y + 2*t^8.326*y + t^8.411*y + 2*t^8.516*y + t^8.62*y + t^8.706*y + 2*t^8.81*y | g1^16*t^2.127 + t^2.231/g1^34 + t^2.421/g1^10 + g1^14*t^2.611 + g1^38*t^2.801 + t^2.905/g1^12 + t^3.389/g1^14 + g1^10*t^3.579 + t^3.684/g1^40 + 2*g1^8*t^4.063 + 2*g1^32*t^4.253 + t^4.358/g1^18 + g1^56*t^4.443 + t^4.462/g1^68 + g1^6*t^4.547 + t^4.652/g1^44 + g1^30*t^4.737 + (2*t^4.842)/g1^20 + g1^54*t^4.927 + 3*g1^4*t^5.032 + t^5.136/g1^46 + 2*g1^28*t^5.222 + t^5.326/g1^22 + g1^52*t^5.411 + 2*g1^2*t^5.516 + g1^76*t^5.601 + 2*g1^26*t^5.706 + (2*t^5.81)/g1^24 + t^5.915/g1^74 - t^6. + t^6.104/g1^50 + g1^24*t^6.19 + (3*t^6.294)/g1^26 + 2*g1^48*t^6.38 + (4*t^6.484)/g1^2 + g1^72*t^6.57 + (2*t^6.589)/g1^52 + 3*g1^22*t^6.674 + t^6.693/g1^102 + 4*g1^46*t^6.864 + t^6.883/g1^78 + (3*t^6.968)/g1^4 + 3*g1^70*t^7.054 + (2*t^7.073)/g1^54 + 2*g1^20*t^7.158 + g1^94*t^7.244 + (2*t^7.263)/g1^30 + 2*g1^44*t^7.348 + (2*t^7.367)/g1^80 + (2*t^7.453)/g1^6 + t^7.557/g1^56 + 4*g1^18*t^7.642 + g1^92*t^7.728 + (3*t^7.747)/g1^32 + 4*g1^42*t^7.832 + (3*t^7.937)/g1^8 + 2*g1^66*t^8.022 + t^8.041/g1^58 + 2*g1^16*t^8.127 + t^8.146/g1^108 + g1^90*t^8.212 - t^8.231/g1^34 + 2*g1^40*t^8.316 + t^8.335/g1^84 + g1^114*t^8.402 - t^8.421/g1^10 + 5*g1^64*t^8.506 + (3*t^8.525)/g1^60 + 2*g1^88*t^8.696 + (5*t^8.715)/g1^36 - g1^38*t^8.801 + (2*t^8.82)/g1^86 + g1^112*t^8.886 + (2*t^8.905)/g1^12 + t^8.924/g1^136 + 2*g1^62*t^8.991 - t^4.453/(g1^6*y) - (g1^10*t^6.579)/y - t^6.684/(g1^40*y) + (2*g1^6*t^7.547)/y + t^7.652/(g1^44*y) + (g1^30*t^7.737)/y + t^7.842/(g1^20*y) + (g1^54*t^7.927)/y + (3*g1^4*t^8.032)/y + t^8.136/(g1^46*y) + (2*g1^28*t^8.222)/y + (2*t^8.326)/(g1^22*y) + (g1^52*t^8.411)/y + (2*g1^2*t^8.516)/y + t^8.62/(g1^48*y) + (g1^26*t^8.706)/y + (2*t^8.81)/(g1^24*y) - (t^4.453*y)/g1^6 - g1^10*t^6.579*y - (t^6.684*y)/g1^40 + 2*g1^6*t^7.547*y + (t^7.652*y)/g1^44 + g1^30*t^7.737*y + (t^7.842*y)/g1^20 + g1^54*t^7.927*y + 3*g1^4*t^8.032*y + (t^8.136*y)/g1^46 + 2*g1^28*t^8.222*y + (2*t^8.326*y)/g1^22 + g1^52*t^8.411*y + 2*g1^2*t^8.516*y + (t^8.62*y)/g1^48 + g1^26*t^8.706*y + (2*t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 3617 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ | 0.5951 | 0.7456 | 0.7982 | [X:[1.4815], M:[1.2593, 0.5185, 0.7407, 1.037, 0.963, 0.8148], q:[0.4815, 0.2593], qb:[0.7778, 0.7037], phi:[0.4444]] | t^2.222 + t^2.444 + t^2.667 + 2*t^2.889 + t^3.111 + t^3.556 + t^3.778 + 2*t^4.222 + 2*t^4.444 + 3*t^4.889 + 3*t^5.111 + 2*t^5.333 + 4*t^5.556 + 4*t^5.778 - t^4.333/y - t^4.333*y | detail | {a: 20825/34992, c: 13045/17496, X1: 40/27, M1: 34/27, M2: 14/27, M3: 20/27, M4: 28/27, M5: 26/27, M6: 22/27, q1: 13/27, q2: 7/27, qb1: 7/9, qb2: 19/27, phi1: 4/9} |
| 3612 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6706 | 0.8539 | 0.7854 | [M:[1.2047, 0.7041, 0.7953, 1.1134, 0.8866, 0.7275, 1.0222], q:[0.4433, 0.352], qb:[0.7614, 0.5345], phi:[0.4772]] | t^2.112 + t^2.182 + t^2.386 + t^2.66 + t^2.863 + t^3.067 + t^3.34 + t^3.544 + t^3.614 + 2*t^4.091 + t^4.224 + t^4.295 + 2*t^4.365 + t^4.498 + t^4.568 + t^4.639 + 2*t^4.772 + t^4.842 + t^4.975 + 2*t^5.046 + t^5.179 + 2*t^5.249 + t^5.319 + t^5.453 + 2*t^5.523 + t^5.656 + 3*t^5.726 + t^5.797 + 2*t^5.93 - t^6. - t^4.432/y - t^4.432*y | detail | |
| 3610 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 0.6701 | 0.8543 | 0.7844 | [M:[1.2105, 0.6842, 0.7895, 1.1053, 0.8947, 0.7368], q:[0.4474, 0.3421], qb:[0.7632, 0.5526], phi:[0.4737]] | t^2.053 + t^2.211 + t^2.368 + t^2.684 + t^2.842 + t^3. + t^3.316 + t^3.474 + t^3.632 + 3*t^4.105 + t^4.263 + 3*t^4.421 + t^4.579 + 3*t^4.737 + 2*t^4.895 + 3*t^5.053 + 2*t^5.211 + 2*t^5.368 + 3*t^5.526 + 3*t^5.684 + 3*t^5.842 - t^4.421/y - t^4.421*y | detail | {a: 36771/54872, c: 46879/54872, M1: 23/19, M2: 13/19, M3: 15/19, M4: 21/19, M5: 17/19, M6: 14/19, q1: 17/38, q2: 13/38, qb1: 29/38, qb2: 21/38, phi1: 9/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1948 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6544 | 0.8218 | 0.7964 | [M:[1.1943, 0.7395, 0.8057, 1.128, 0.872], q:[0.436, 0.3698], qb:[0.7583, 0.5022], phi:[0.4834]] | t^2.219 + t^2.417 + t^2.616 + t^2.814 + t^2.901 + t^3.384 + t^3.583 + t^3.669 + t^3.868 + 2*t^4.066 + t^4.265 + t^4.437 + t^4.463 + t^4.636 + 2*t^4.834 + 2*t^5.033 + t^5.119 + 2*t^5.232 + t^5.318 + t^5.43 + t^5.517 + t^5.629 + t^5.715 + t^5.801 + t^5.888 - t^6. - t^4.45/y - t^4.45*y | detail |