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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [M:[[10], [-34], [-10], [-14], [14]], q:[[7], [-17]], qb:[[3], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}$ | -1 | 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. + 2*t^6.086 - t^6.199 + 4*t^6.285 + 4*t^6.483 + t^6.57 + t^6.656 + 3*t^6.682 + t^6.854 + 3*t^6.881 + t^6.967 + 2*t^7.053 + 2*t^7.079 - t^7.166 + 2*t^7.252 + t^7.278 + 2*t^7.338 + 2*t^7.45 + 2*t^7.537 - t^7.563 + 2*t^7.649 + 4*t^7.735 + 2*t^7.848 + 3*t^7.934 + 2*t^8.046 + t^8.106 + 4*t^8.132 - 2*t^8.219 + t^8.245 + 2*t^8.305 + 2*t^8.331 - 4*t^8.417 + t^8.443 + 4*t^8.503 + 3*t^8.53 - 4*t^8.616 + 5*t^8.702 + t^8.728 + t^8.788 - 4*t^8.814 + t^8.875 + 4*t^8.901 + t^8.927 + t^8.987 - t^4.45/y - t^6.669/y - t^7.351/y + t^7.55/y + t^7.636/y + t^7.834/y + (2*t^8.033)/y + t^8.119/y + (2*t^8.232)/y + t^8.318/y + t^8.43/y + t^8.517/y + t^8.603/y + t^8.715/y + (2*t^8.801)/y - t^4.45*y - t^6.669*y - t^7.351*y + t^7.55*y + t^7.636*y + t^7.834*y + 2*t^8.033*y + t^8.119*y + 2*t^8.232*y + t^8.318*y + t^8.43*y + t^8.517*y + t^8.603*y + t^8.715*y + 2*t^8.801*y | t^2.219/g1^34 + t^2.417/g1^10 + g1^14*t^2.616 + g1^38*t^2.814 + t^2.901/g1^12 + t^3.384/g1^14 + g1^10*t^3.583 + t^3.669/g1^40 + t^3.868/g1^16 + 2*g1^8*t^4.066 + g1^32*t^4.265 + t^4.437/g1^68 + g1^56*t^4.463 + t^4.636/g1^44 + (2*t^4.834)/g1^20 + 2*g1^4*t^5.033 + t^5.119/g1^46 + 2*g1^28*t^5.232 + t^5.318/g1^22 + g1^52*t^5.43 + g1^2*t^5.517 + g1^76*t^5.629 + g1^26*t^5.715 + t^5.801/g1^24 + t^5.888/g1^74 - t^6. + (2*t^6.086)/g1^50 - g1^24*t^6.199 + (4*t^6.285)/g1^26 + (4*t^6.483)/g1^2 + t^6.57/g1^52 + t^6.656/g1^102 + 3*g1^22*t^6.682 + t^6.854/g1^78 + 3*g1^46*t^6.881 + t^6.967/g1^4 + (2*t^7.053)/g1^54 + 2*g1^70*t^7.079 - g1^20*t^7.166 + (2*t^7.252)/g1^30 + g1^94*t^7.278 + (2*t^7.338)/g1^80 + (2*t^7.45)/g1^6 + (2*t^7.537)/g1^56 - g1^68*t^7.563 + 2*g1^18*t^7.649 + (4*t^7.735)/g1^32 + 2*g1^42*t^7.848 + (3*t^7.934)/g1^8 + 2*g1^66*t^8.046 + t^8.106/g1^108 + 4*g1^16*t^8.132 - (2*t^8.219)/g1^34 + g1^90*t^8.245 + (2*t^8.305)/g1^84 + 2*g1^40*t^8.331 - (4*t^8.417)/g1^10 + g1^114*t^8.443 + (4*t^8.503)/g1^60 + 3*g1^64*t^8.53 - 4*g1^14*t^8.616 + (5*t^8.702)/g1^36 + g1^88*t^8.728 + t^8.788/g1^86 - 4*g1^38*t^8.814 + t^8.875/g1^136 + (4*t^8.901)/g1^12 + g1^112*t^8.927 + t^8.987/g1^62 - t^4.45/(g1^6*y) - t^6.669/(g1^40*y) - t^7.351/(g1^18*y) + (g1^6*t^7.55)/y + t^7.636/(g1^44*y) + t^7.834/(g1^20*y) + (2*g1^4*t^8.033)/y + t^8.119/(g1^46*y) + (2*g1^28*t^8.232)/y + t^8.318/(g1^22*y) + (g1^52*t^8.43)/y + (g1^2*t^8.517)/y + t^8.603/(g1^48*y) + (g1^26*t^8.715)/y + (2*t^8.801)/(g1^24*y) - (t^4.45*y)/g1^6 - (t^6.669*y)/g1^40 - (t^7.351*y)/g1^18 + g1^6*t^7.55*y + (t^7.636*y)/g1^44 + (t^7.834*y)/g1^20 + 2*g1^4*t^8.033*y + (t^8.119*y)/g1^46 + 2*g1^28*t^8.232*y + (t^8.318*y)/g1^22 + g1^52*t^8.43*y + g1^2*t^8.517*y + (t^8.603*y)/g1^48 + g1^26*t^8.715*y + (2*t^8.801*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 |
|---|---|---|---|---|---|---|---|---|
| 2991 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6541 | 0.8213 | 0.7964 | [M:[1.1892, 0.7568, 0.8108, 1.1351, 0.8649], q:[0.4324, 0.3784], qb:[0.7568, 0.4865], phi:[0.4865]] | t^2.27 + t^2.432 + t^2.595 + t^2.757 + t^2.919 + t^3.405 + t^3.568 + t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + t^4.541 + t^4.703 + 2*t^4.865 + 2*t^5.027 + 3*t^5.189 + 2*t^5.351 + 2*t^5.514 + t^5.676 + t^5.838 - t^4.459/y - t^4.459*y | detail | {a: 530091/810448, c: 332811/405224, M1: 44/37, M2: 28/37, M3: 30/37, M4: 42/37, M5: 32/37, q1: 16/37, q2: 14/37, qb1: 28/37, qb2: 18/37, phi1: 18/37} |
| 2992 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 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]] | 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^4.453/y - t^4.453*y | detail | |
| 2990 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6728 | 0.8554 | 0.7865 | [M:[1.1885, 0.7593, 0.8115, 1.1362, 0.8638, 0.7538], q:[0.4319, 0.3796], qb:[0.7565, 0.4842], phi:[0.4869]] | t^2.261 + t^2.278 + t^2.435 + t^2.591 + t^2.748 + t^2.922 + t^3.409 + t^3.565 + t^3.895 + 2*t^4.052 + t^4.209 + t^4.366 + t^4.523 + t^4.539 + t^4.556 + t^4.696 + t^4.712 + t^4.853 + 2*t^4.869 + t^5.01 + 2*t^5.026 + 3*t^5.183 + t^5.199 + t^5.34 + t^5.356 + t^5.497 + t^5.513 + 2*t^5.67 + t^5.827 + t^5.843 - t^6. - t^4.461/y - t^4.461*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 |
|---|---|---|---|---|---|---|---|---|---|
| 611 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ | 0.7024 | 0.8607 | 0.8161 | [M:[1.0504, 0.8793, 0.9496, 0.98, 1.02], q:[0.51, 0.4396], qb:[0.5404, 0.5803], phi:[0.4824]] | t^2.638 + t^2.849 + t^2.894 + t^2.94 + t^3.06 + t^3.151 + t^3.271 + t^4.085 + t^4.296 + t^4.387 + 2*t^4.507 + t^4.598 + t^4.69 + t^4.718 + t^4.809 + t^4.929 + t^5.276 + t^5.487 + t^5.532 + t^5.698 + t^5.743 + t^5.789 + t^5.835 + t^5.909 + t^5.954 - 2*t^6. - t^4.447/y - t^4.447*y | detail |