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 |
|---|---|---|---|---|---|---|---|---|---|
| 60774 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ | 1.2102 | 1.372 | 0.882 | [X:[1.4018], M:[1.0], q:[0.869, 0.2708], qb:[0.4301, 0.6354], phi:[0.2991]] | [X:[[6]], M:[[0]], q:[[8], [14]], qb:[[-11], [7]], phi:[[-3]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.1 + t^2.69 + t^2.72 + t^3. + t^3.62 + 2*t^3.9 + t^4.21 + 2*t^4.51 + 2*t^4.79 + t^4.82 + 2*t^5.13 + t^5.38 + 2*t^5.41 + t^5.44 + 2*t^5.69 + 2*t^5.72 - t^6. + t^6.03 + 3*t^6.31 + t^6.33 + t^6.56 + t^6.59 + 3*t^6.62 - t^6.87 + 2*t^6.9 + 3*t^6.92 + t^7.21 + 4*t^7.23 + t^7.49 + 4*t^7.51 + t^7.54 - t^7.77 + 3*t^7.79 + 3*t^7.82 + 2*t^7.85 + 2*t^8.08 - t^8.1 + 5*t^8.13 + t^8.16 + 7*t^8.41 + t^8.44 - t^8.67 + 2*t^8.69 + 3*t^8.74 + t^8.69/y^2 - t^3.9/y - t^4.79/y - t^6./y - t^6.59/y - t^6.62/y - t^6.9/y - t^7.49/y - t^7.51/y - t^7.79/y + t^7.82/y + t^8.1/y - t^8.41/y - t^8.69/y + t^8.72/y - t^3.9*y - t^4.79*y - t^6.*y - t^6.59*y - t^6.62*y - t^6.9*y - t^7.49*y - t^7.51*y - t^7.79*y + t^7.82*y + t^8.1*y - t^8.41*y - t^8.69*y + t^8.72*y + t^8.69*y^2 | g1^3*t^2.1 + t^2.69/g1^9 + g1^21*t^2.72 + t^3. + g1^18*t^3.62 + (2*t^3.9)/g1^3 + g1^6*t^4.21 + 2*g1^15*t^4.51 + (2*t^4.79)/g1^6 + g1^24*t^4.82 + 2*g1^33*t^5.13 + t^5.38/g1^18 + 2*g1^12*t^5.41 + g1^42*t^5.44 + (2*t^5.69)/g1^9 + 2*g1^21*t^5.72 - t^6. + g1^30*t^6.03 + 3*g1^9*t^6.31 + g1^39*t^6.33 + t^6.56/g1^42 + t^6.59/g1^12 + 3*g1^18*t^6.62 - t^6.87/g1^33 + (2*t^6.9)/g1^3 + 3*g1^27*t^6.92 + g1^6*t^7.21 + 4*g1^36*t^7.23 + t^7.49/g1^15 + 4*g1^15*t^7.51 + g1^45*t^7.54 - t^7.77/g1^36 + (3*t^7.79)/g1^6 + 3*g1^24*t^7.82 + 2*g1^54*t^7.85 + (2*t^8.08)/g1^27 - g1^3*t^8.1 + 5*g1^33*t^8.13 + g1^63*t^8.16 + 7*g1^12*t^8.41 + g1^42*t^8.44 - t^8.67/g1^39 + (2*t^8.69)/g1^9 + 3*g1^51*t^8.74 + t^8.69/(g1^9*y^2) - t^3.9/(g1^3*y) - t^4.79/(g1^6*y) - t^6./y - t^6.59/(g1^12*y) - (g1^18*t^6.62)/y - t^6.9/(g1^3*y) - t^7.49/(g1^15*y) - (g1^15*t^7.51)/y - t^7.79/(g1^6*y) + (g1^24*t^7.82)/y + (g1^3*t^8.1)/y - (g1^12*t^8.41)/y - t^8.69/(g1^9*y) + (g1^21*t^8.72)/y - (t^3.9*y)/g1^3 - (t^4.79*y)/g1^6 - t^6.*y - (t^6.59*y)/g1^12 - g1^18*t^6.62*y - (t^6.9*y)/g1^3 - (t^7.49*y)/g1^15 - g1^15*t^7.51*y - (t^7.79*y)/g1^6 + g1^24*t^7.82*y + g1^3*t^8.1*y - g1^12*t^8.41*y - (t^8.69*y)/g1^9 + g1^21*t^8.72*y + (t^8.69*y^2)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 61039 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.1977 | 1.3495 | 0.8875 | [X:[1.4286], M:[1.0], q:[0.9048, 0.3333], qb:[0.381, 0.6667], phi:[0.2857]] | t^2.14 + t^2.57 + 2*t^3. + 3*t^3.86 + t^4.29 + 4*t^4.71 + 2*t^5.14 + 6*t^5.57 + 3*t^6. - t^3.86/y - t^4.71/y - t^6./y - t^3.86*y - t^4.71*y - t^6.*y | detail | {a: 939/784, c: 529/392, X1: 10/7, M1: 1, q1: 19/21, q2: 1/3, qb1: 8/21, qb2: 2/3, phi1: 2/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 57463 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.4634 | 1.6644 | 0.8792 | [X:[1.3515], M:[0.6749], q:[0.4769, 0.4786], qb:[0.5223, 0.5767], phi:[0.3243]] | t^2.02 + t^2.92 + 2*t^3. + t^3.16 + t^3.17 + t^3.97 + 2*t^4.05 + t^4.13 + t^4.14 + 2*t^4.94 + t^4.95 + t^5.02 + t^5.03 + 2*t^5.11 + 2*t^5.19 + 2*t^5.27 + t^5.84 + 2*t^5.92 + t^5.99 - 2*t^6. - t^3.97/y - t^4.95/y - t^6./y - t^3.97*y - t^4.95*y - t^6.*y | detail |