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 |
|---|---|---|---|---|---|---|---|---|---|
| 982 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ | 0.6596 | 0.8132 | 0.8111 | [M:[1.0406, 0.7923, 1.0, 0.8329, 1.1671], q:[0.5632, 0.3962], qb:[0.4368, 0.7709], phi:[0.4582]] | [M:[[-22], [14], [0], [-8], [8]], q:[[15], [7]], qb:[[-15], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -1 | t^2.377 + t^2.499 + t^2.749 + t^3. + t^3.122 + t^3.501 + t^3.752 + t^3.874 + t^3.995 + t^4.002 + t^4.253 + t^4.375 + 2*t^4.754 + t^4.876 + t^4.998 + t^5.126 + t^5.248 + t^5.377 + 2*t^5.499 + t^5.749 + t^5.871 - t^6. + t^6.129 + t^6.244 + 2*t^6.251 + t^6.372 + t^6.494 + t^6.501 + t^6.623 + t^6.63 + t^6.745 + 2*t^6.752 + t^6.874 + t^6.995 + t^7.002 + t^7.117 + 2*t^7.131 - t^7.246 + 2*t^7.253 + t^7.375 + t^7.497 + 3*t^7.503 + t^7.625 + 2*t^7.747 + 2*t^7.754 + t^7.869 + 2*t^7.876 + t^7.991 + t^7.998 + t^8.005 + t^8.126 + 2*t^8.248 + t^8.255 + t^8.37 - 2*t^8.377 - t^8.499 + 2*t^8.506 + t^8.621 + t^8.628 + t^8.749 + t^8.756 + t^8.871 - t^8.878 + 2*t^8.993 - t^4.375/y - t^6.752/y - t^7.124/y + t^7.253/y - t^7.497/y + t^7.625/y + t^7.876/y + t^7.998/y + t^8.126/y + t^8.248/y + t^8.377/y + (2*t^8.499)/y + t^8.621/y + t^8.749/y + t^8.871/y + t^8.878/y - t^4.375*y - t^6.752*y - t^7.124*y + t^7.253*y - t^7.497*y + t^7.625*y + t^7.876*y + t^7.998*y + t^8.126*y + t^8.248*y + t^8.377*y + 2*t^8.499*y + t^8.621*y + t^8.749*y + t^8.871*y + t^8.878*y | g1^14*t^2.377 + t^2.499/g1^8 + t^2.749/g1^4 + t^3. + t^3.122/g1^22 + g1^8*t^3.501 + g1^12*t^3.752 + t^3.874/g1^10 + t^3.995/g1^32 + g1^16*t^4.002 + g1^20*t^4.253 + t^4.375/g1^2 + 2*g1^28*t^4.754 + g1^6*t^4.876 + t^4.998/g1^16 + g1^10*t^5.126 + t^5.248/g1^12 + g1^14*t^5.377 + (2*t^5.499)/g1^8 + t^5.749/g1^4 + t^5.871/g1^26 - t^6. + g1^26*t^6.129 + t^6.244/g1^44 + 2*g1^4*t^6.251 + t^6.372/g1^18 + t^6.494/g1^40 + g1^8*t^6.501 + t^6.623/g1^14 + g1^34*t^6.63 + t^6.745/g1^36 + 2*g1^12*t^6.752 + t^6.874/g1^10 + t^6.995/g1^32 + g1^16*t^7.002 + t^7.117/g1^54 + 2*g1^42*t^7.131 - t^7.246/g1^28 + 2*g1^20*t^7.253 + t^7.375/g1^2 + t^7.497/g1^24 + 3*g1^24*t^7.503 + g1^2*t^7.625 + (2*t^7.747)/g1^20 + 2*g1^28*t^7.754 + t^7.869/g1^42 + 2*g1^6*t^7.876 + t^7.991/g1^64 + t^7.998/g1^16 + g1^32*t^8.005 + g1^10*t^8.126 + (2*t^8.248)/g1^12 + g1^36*t^8.255 + t^8.37/g1^34 - 2*g1^14*t^8.377 - t^8.499/g1^8 + 2*g1^40*t^8.506 + t^8.621/g1^30 + g1^18*t^8.628 + t^8.749/g1^4 + g1^44*t^8.756 + t^8.871/g1^26 - g1^22*t^8.878 + (2*t^8.993)/g1^48 - t^4.375/(g1^2*y) - (g1^12*t^6.752)/y - t^7.124/(g1^6*y) + (g1^20*t^7.253)/y - t^7.497/(g1^24*y) + (g1^2*t^7.625)/y + (g1^6*t^7.876)/y + t^7.998/(g1^16*y) + (g1^10*t^8.126)/y + t^8.248/(g1^12*y) + (g1^14*t^8.377)/y + (2*t^8.499)/(g1^8*y) + t^8.621/(g1^30*y) + t^8.749/(g1^4*y) + t^8.871/(g1^26*y) + (g1^22*t^8.878)/y - (t^4.375*y)/g1^2 - g1^12*t^6.752*y - (t^7.124*y)/g1^6 + g1^20*t^7.253*y - (t^7.497*y)/g1^24 + g1^2*t^7.625*y + g1^6*t^7.876*y + (t^7.998*y)/g1^16 + g1^10*t^8.126*y + (t^8.248*y)/g1^12 + g1^14*t^8.377*y + (2*t^8.499*y)/g1^8 + (t^8.621*y)/g1^30 + (t^8.749*y)/g1^4 + (t^8.871*y)/g1^26 + g1^22*t^8.878*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 |
|---|---|---|---|---|---|---|---|---|
| 1535 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6799 | 0.852 | 0.7981 | [M:[1.0457, 0.7891, 1.0, 0.8348, 1.1652, 0.7065], q:[0.5597, 0.3945], qb:[0.4403, 0.7706], phi:[0.4587]] | t^2.119 + t^2.367 + t^2.504 + t^2.752 + t^3. + t^3.137 + t^3.496 + t^3.743 + t^3.991 + t^4.018 + 2*t^4.239 + t^4.376 + t^4.487 + t^4.624 + 2*t^4.735 + 2*t^4.872 + t^5.009 + 2*t^5.119 + 2*t^5.257 + t^5.367 + 2*t^5.504 + t^5.615 + t^5.752 + t^5.863 + t^5.889 - t^6. - t^4.376/y - t^4.376*y | detail | |
| 1533 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6788 | 0.8484 | 0.8001 | [M:[1.0295, 0.7994, 1.0, 0.8289, 1.1711, 0.7434], q:[0.5708, 0.3997], qb:[0.4292, 0.7714], phi:[0.4572]] | t^2.23 + t^2.398 + t^2.487 + t^2.743 + t^3. + t^3.089 + t^3.513 + t^3.858 + t^3.947 + t^4.027 + t^4.283 + t^4.372 + t^4.46 + t^4.628 + t^4.717 + 2*t^4.796 + t^4.885 + 2*t^4.973 + t^5.142 + 2*t^5.23 + t^5.319 + t^5.398 + 2*t^5.487 + 2*t^5.743 + t^5.832 - t^6. - t^4.372/y - t^4.372*y | detail | |
| 1534 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.652 | 0.8005 | 0.8144 | [M:[1.0492, 0.7869, 1.0, 0.8361, 1.1639, 1.082], q:[0.5574, 0.3934], qb:[0.4426, 0.7705], phi:[0.459]] | t^2.361 + t^2.508 + t^3. + t^3.148 + t^3.246 + t^3.492 + t^3.738 + t^3.885 + t^3.984 + t^4.033 + t^4.23 + t^4.377 + 2*t^4.721 + t^4.869 + t^5.016 + t^5.361 + t^5.508 + t^5.607 + t^5.754 - t^6. - t^4.377/y - t^4.377*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 |
|---|---|---|---|---|---|---|---|---|---|
| 609 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6698 | 0.8297 | 0.8073 | [M:[0.9823, 0.7363, 0.8719, 0.8467, 1.1533], q:[0.6495, 0.3682], qb:[0.4785, 0.7852], phi:[0.4297]] | t^2.209 + t^2.54 + t^2.578 + t^2.616 + t^2.947 + t^3.46 + t^3.498 + t^3.829 + t^4.16 + t^4.304 + t^4.342 + t^4.418 + t^4.673 + t^4.749 + t^4.787 + t^4.825 + t^5.08 + t^5.118 + 2*t^5.156 + t^5.186 + t^5.194 + t^5.232 + t^5.525 + t^5.563 + t^5.707 + t^5.894 - 2*t^6. - t^4.289/y - t^4.289*y | detail |