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 |
|---|---|---|---|---|---|---|---|---|---|
| 3080 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5829 | 0.7351 | 0.7929 | [M:[0.7246, 1.141, 0.9934, 0.7115, 1.0066, 1.2885, 0.8459], q:[0.9262, 0.3492], qb:[0.3623, 0.6443], phi:[0.4295]] | [M:[[22], [-4], [-14], [-6], [14], [6], [-24]], q:[[-5], [-17]], qb:[[11], [3]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.134 + t^2.174 + t^2.538 + t^2.98 + t^3.02 + t^3.384 + 2*t^3.423 + t^3.866 + t^4.269 + t^4.308 + t^4.348 + t^4.672 + 2*t^4.711 + t^5.075 + t^5.115 + 2*t^5.154 + t^5.193 + 2*t^5.518 + 3*t^5.557 + t^5.597 + t^5.921 + 2*t^5.961 - t^6. + t^6.039 + t^6.364 + 3*t^6.403 + t^6.443 + t^6.482 + t^6.521 + t^6.767 + 2*t^6.807 + 2*t^6.846 + t^6.885 + t^7.21 + 2*t^7.249 + t^7.289 + t^7.328 + t^7.367 + t^7.613 + 2*t^7.652 + 3*t^7.692 + 2*t^7.731 + t^7.771 + 2*t^8.056 + 3*t^8.095 - 2*t^8.174 + t^8.213 + t^8.459 + 3*t^8.498 + 2*t^8.577 + t^8.656 + t^8.695 + 2*t^8.902 + 4*t^8.941 - t^8.98 - t^4.289/y - t^6.462/y - t^6.826/y + t^7.308/y + t^7.672/y + t^7.711/y + t^7.751/y + (2*t^8.115)/y + (2*t^8.154)/y + t^8.193/y + (2*t^8.518)/y + (4*t^8.557)/y + (2*t^8.597)/y - t^8.636/y + t^8.921/y + (2*t^8.961)/y - t^4.289*y - t^6.462*y - t^6.826*y + t^7.308*y + t^7.672*y + t^7.711*y + t^7.751*y + 2*t^8.115*y + 2*t^8.154*y + t^8.193*y + 2*t^8.518*y + 4*t^8.557*y + 2*t^8.597*y - t^8.636*y + t^8.921*y + 2*t^8.961*y | t^2.134/g1^6 + g1^22*t^2.174 + t^2.538/g1^24 + t^2.98/g1^14 + g1^14*t^3.02 + t^3.384/g1^32 + (2*t^3.423)/g1^4 + g1^6*t^3.866 + t^4.269/g1^12 + g1^16*t^4.308 + g1^44*t^4.348 + t^4.672/g1^30 + (2*t^4.711)/g1^2 + t^5.075/g1^48 + t^5.115/g1^20 + 2*g1^8*t^5.154 + g1^36*t^5.193 + (2*t^5.518)/g1^38 + (3*t^5.557)/g1^10 + g1^18*t^5.597 + t^5.921/g1^56 + (2*t^5.961)/g1^28 - t^6. + g1^28*t^6.039 + t^6.364/g1^46 + (3*t^6.403)/g1^18 + g1^10*t^6.443 + g1^38*t^6.482 + g1^66*t^6.521 + t^6.767/g1^64 + (2*t^6.807)/g1^36 + (2*t^6.846)/g1^8 + g1^20*t^6.885 + t^7.21/g1^54 + (2*t^7.249)/g1^26 + g1^2*t^7.289 + g1^30*t^7.328 + g1^58*t^7.367 + t^7.613/g1^72 + (2*t^7.652)/g1^44 + (3*t^7.692)/g1^16 + 2*g1^12*t^7.731 + g1^40*t^7.771 + (2*t^8.056)/g1^62 + (3*t^8.095)/g1^34 - 2*g1^22*t^8.174 + g1^50*t^8.213 + t^8.459/g1^80 + (3*t^8.498)/g1^52 + 2*g1^4*t^8.577 + g1^60*t^8.656 + g1^88*t^8.695 + (2*t^8.902)/g1^70 + (4*t^8.941)/g1^42 - t^8.98/g1^14 - (g1^2*t^4.289)/y - (g1^24*t^6.462)/y - t^6.826/(g1^22*y) + (g1^16*t^7.308)/y + t^7.672/(g1^30*y) + t^7.711/(g1^2*y) + (g1^26*t^7.751)/y + (2*t^8.115)/(g1^20*y) + (2*g1^8*t^8.154)/y + (g1^36*t^8.193)/y + (2*t^8.518)/(g1^38*y) + (4*t^8.557)/(g1^10*y) + (2*g1^18*t^8.597)/y - (g1^46*t^8.636)/y + t^8.921/(g1^56*y) + (2*t^8.961)/(g1^28*y) - g1^2*t^4.289*y - g1^24*t^6.462*y - (t^6.826*y)/g1^22 + g1^16*t^7.308*y + (t^7.672*y)/g1^30 + (t^7.711*y)/g1^2 + g1^26*t^7.751*y + (2*t^8.115*y)/g1^20 + 2*g1^8*t^8.154*y + g1^36*t^8.193*y + (2*t^8.518*y)/g1^38 + (4*t^8.557*y)/g1^10 + 2*g1^18*t^8.597*y - g1^46*t^8.636*y + (t^8.921*y)/g1^56 + (2*t^8.961*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4934 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.5964 | 0.7583 | 0.7865 | [M:[0.6882, 1.1476, 1.0166, 0.7214, 0.9834, 1.2786, 0.8856, 0.8192], q:[0.9345, 0.3773], qb:[0.3441, 0.6393], phi:[0.4262]] | t^2.065 + t^2.164 + t^2.458 + t^2.657 + t^2.95 + t^3.05 + 2*t^3.443 + t^3.836 + t^4.129 + t^4.229 + t^4.328 + t^4.522 + t^4.622 + 2*t^4.721 + t^4.821 + t^4.915 + t^5.015 + 3*t^5.114 + t^5.214 + t^5.314 + t^5.408 + 2*t^5.507 + 2*t^5.607 + t^5.707 + 3*t^5.9 - t^6. - t^4.279/y - t^4.279*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2021 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5708 | 0.7142 | 0.7992 | [M:[0.6907, 1.1471, 1.015, 0.7207, 0.985, 1.2793], q:[0.9339, 0.3754], qb:[0.3454, 0.6396], phi:[0.4264]] | t^2.072 + t^2.162 + t^2.955 + t^3.045 + t^3.351 + 2*t^3.441 + t^3.531 + t^3.838 + t^4.144 + t^4.234 + t^4.324 + t^4.721 + t^5.027 + 2*t^5.117 + t^5.207 + t^5.424 + 2*t^5.514 + 2*t^5.604 + t^5.694 + t^5.91 - t^6. - t^4.279/y - t^4.279*y | detail |