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 |
|---|---|---|---|---|---|---|---|---|---|
| 3486 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.6305 | 0.7796 | 0.8088 | [X:[1.6024], M:[0.8192, 1.2048, 0.7711, 1.1928, 0.3976, 0.8072, 0.8072], q:[0.3976, 0.7832], qb:[0.4096, 0.8192], phi:[0.3976]] | [X:[[1]], M:[[8], [2], [-12], [-3], [-1], [3], [3]], q:[[-1], [-7]], qb:[[4], [8]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{3}$ | ${}$ | -1 | t^2.313 + 2*t^2.422 + t^2.458 + t^3.578 + 2*t^3.614 + 2*t^3.651 + t^4.627 + 2*t^4.735 + t^4.771 + t^4.807 + 3*t^4.843 + 2*t^4.879 + t^4.915 + t^5.892 + t^5.928 - t^6. + 3*t^6.036 + 5*t^6.072 + 2*t^6.108 + t^6.94 + 2*t^7.048 + t^7.085 + t^7.157 + 3*t^7.229 + 6*t^7.265 + 5*t^7.301 + 2*t^7.337 + t^7.373 + t^8.205 + t^8.241 - t^8.313 - 3*t^8.422 + t^8.458 + 6*t^8.494 + 5*t^8.53 + 2*t^8.566 - t^4.193/y - t^6.506/y - t^6.614/y - t^6.651/y + (3*t^7.735)/y + (2*t^7.771)/y + t^7.843/y + (3*t^7.879)/y - t^8.82/y + t^8.892/y + t^8.928/y + t^8.964/y - t^4.193*y - t^6.506*y - t^6.614*y - t^6.651*y + 3*t^7.735*y + 2*t^7.771*y + t^7.843*y + 3*t^7.879*y - t^8.82*y + t^8.892*y + t^8.928*y + t^8.964*y | t^2.313/g1^12 + 2*g1^3*t^2.422 + g1^8*t^2.458 + t^3.578/g1^3 + 2*g1^2*t^3.614 + 2*g1^7*t^3.651 + t^4.627/g1^24 + (2*t^4.735)/g1^9 + t^4.771/g1^4 + g1*t^4.807 + 3*g1^6*t^4.843 + 2*g1^11*t^4.879 + g1^16*t^4.915 + t^5.892/g1^15 + t^5.928/g1^10 - t^6. + 3*g1^5*t^6.036 + 5*g1^10*t^6.072 + 2*g1^15*t^6.108 + t^6.94/g1^36 + (2*t^7.048)/g1^21 + t^7.085/g1^16 + t^7.157/g1^6 + 3*g1^4*t^7.229 + 6*g1^9*t^7.265 + 5*g1^14*t^7.301 + 2*g1^19*t^7.337 + g1^24*t^7.373 + t^8.205/g1^27 + t^8.241/g1^22 - t^8.313/g1^12 - 3*g1^3*t^8.422 + g1^8*t^8.458 + 6*g1^13*t^8.494 + 5*g1^18*t^8.53 + 2*g1^23*t^8.566 - t^4.193/(g1*y) - t^6.506/(g1^13*y) - (g1^2*t^6.614)/y - (g1^7*t^6.651)/y + (3*t^7.735)/(g1^9*y) + (2*t^7.771)/(g1^4*y) + (g1^6*t^7.843)/y + (3*g1^11*t^7.879)/y - t^8.82/(g1^25*y) + t^8.892/(g1^15*y) + t^8.928/(g1^10*y) + t^8.964/(g1^5*y) - (t^4.193*y)/g1 - (t^6.506*y)/g1^13 - g1^2*t^6.614*y - g1^7*t^6.651*y + (3*t^7.735*y)/g1^9 + (2*t^7.771*y)/g1^4 + g1^6*t^7.843*y + 3*g1^11*t^7.879*y - (t^8.82*y)/g1^25 + (t^8.892*y)/g1^15 + (t^8.928*y)/g1^10 + (t^8.964*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5169 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{4}M_{8}$ | 0.6467 | 0.8084 | 0.8 | [X:[1.6014], M:[0.8114, 1.2028, 0.7829, 1.1957, 0.3986, 0.8043, 0.8043, 0.8043], q:[0.3986, 0.79], qb:[0.4057, 0.8114], phi:[0.3986]] | t^2.349 + 3*t^2.413 + t^2.434 + 2*t^3.609 + 2*t^3.63 + t^4.697 + 3*t^4.762 + t^4.783 + t^4.804 + 6*t^4.826 + 3*t^4.847 + t^4.868 + t^5.957 - 3*t^6. - t^4.196/y - t^4.196*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2902 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.6388 | 0.7919 | 0.8066 | [X:[1.6177], M:[0.7844, 1.2353, 0.7449, 1.147, 0.3823, 0.853, 0.696], q:[0.4608, 0.7548], qb:[0.3922, 0.8629], phi:[0.3823]] | t^2.088 + t^2.235 + t^2.353 + t^2.559 + t^3.441 + t^3.5 + 2*t^3.706 + t^3.971 + t^4.176 + t^4.323 + t^4.441 + t^4.469 + t^4.588 + t^4.647 + t^4.707 + t^4.794 + t^4.853 + t^4.912 + t^5.118 + t^5.529 + t^5.588 + t^5.676 + 2*t^5.794 + t^5.854 + t^5.941 - 2*t^6. - t^4.147/y - t^4.147*y | detail |