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 |
|---|---|---|---|---|---|---|---|---|---|
| 3985 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2\tilde{q}_2$ + $ M_4M_8$ | 0.655 | 0.8071 | 0.8115 | [X:[1.3586], M:[1.0185, 1.0943, 1.17, 0.9815, 0.6414, 0.83, 0.7172, 1.0185], q:[0.7736, 0.3965], qb:[0.585, 0.4335], phi:[0.4529]] | [X:[[6]], M:[[-22], [-4], [14], [22], [-6], [-14], [12], [-22]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_6$, $ M_1$, $ M_8$, $ M_2$, $ M_3$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ X_1$, $ M_7^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6M_7$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_1M_7$, $ M_7M_8$, $ M_1M_6$, $ M_6M_8$, $ M_3M_7$, $ M_2M_6$, $ M_7q_1\tilde{q}_2$ | . | -2 | t^2.15 + t^2.49 + 2*t^3.06 + t^3.28 + t^3.51 + t^3.62 + t^3.74 + t^3.96 + t^4.08 + 2*t^4.3 + t^4.41 + t^4.64 + t^4.87 + t^4.98 + 2*t^5.21 + t^5.55 + t^5.66 + 2*t^5.77 - 2*t^6. + 4*t^6.11 + t^6.23 + t^6.34 + 2*t^6.45 + 2*t^6.57 + 2*t^6.68 + 2*t^6.79 + 2*t^7.01 + t^7.02 + 2*t^7.13 + t^7.24 + 3*t^7.36 + 3*t^7.47 + t^7.58 + t^7.59 + 2*t^7.7 + t^7.81 + 3*t^7.92 + 3*t^8.04 - 2*t^8.15 + 4*t^8.26 + t^8.37 + t^8.38 - t^8.49 + 2*t^8.6 + 2*t^8.61 + 3*t^8.83 + t^8.94 - t^4.36/y - t^6.51/y + t^7.3/y - t^7.41/y + t^7.64/y + (3*t^8.21)/y + t^8.43/y + (2*t^8.55)/y + (2*t^8.77)/y + t^8.89/y - t^4.36*y - t^6.51*y + t^7.3*y - t^7.41*y + t^7.64*y + 3*t^8.21*y + t^8.43*y + 2*t^8.55*y + 2*t^8.77*y + t^8.89*y | g1^12*t^2.15 + t^2.49/g1^14 + (2*t^3.06)/g1^22 + t^3.28/g1^4 + g1^14*t^3.51 + t^3.62/g1^30 + g1^32*t^3.74 + t^3.96/g1^56 + g1^6*t^4.08 + 2*g1^24*t^4.3 + t^4.41/g1^20 + t^4.64/g1^2 + g1^16*t^4.87 + t^4.98/g1^28 + (2*t^5.21)/g1^10 + t^5.55/g1^36 + g1^26*t^5.66 + (2*t^5.77)/g1^18 - 2*t^6. + (4*t^6.11)/g1^44 + g1^18*t^6.23 + t^6.34/g1^26 + t^6.45/g1^70 + g1^36*t^6.45 + (2*t^6.57)/g1^8 + (2*t^6.68)/g1^52 + 2*g1^10*t^6.79 + (2*t^7.01)/g1^78 + g1^28*t^7.02 + (2*t^7.13)/g1^16 + t^7.24/g1^60 + 3*g1^2*t^7.36 + (2*t^7.47)/g1^42 + g1^64*t^7.47 + t^7.58/g1^86 + g1^20*t^7.59 + (2*t^7.7)/g1^24 + g1^38*t^7.81 + t^7.92/g1^112 + (2*t^7.92)/g1^6 + (2*t^8.04)/g1^50 + g1^56*t^8.04 - 2*g1^12*t^8.15 + (4*t^8.26)/g1^32 + t^8.37/g1^76 + g1^30*t^8.38 - t^8.49/g1^14 + (2*t^8.6)/g1^58 + 2*g1^48*t^8.61 + (3*t^8.83)/g1^40 + t^8.94/g1^84 - (g1^2*t^4.36)/y - (g1^14*t^6.51)/y + (g1^24*t^7.3)/y - t^7.41/(g1^20*y) + t^7.64/(g1^2*y) + (3*t^8.21)/(g1^10*y) + (g1^8*t^8.43)/y + (2*t^8.55)/(g1^36*y) + (2*t^8.77)/(g1^18*y) + (g1^44*t^8.89)/y - g1^2*t^4.36*y - g1^14*t^6.51*y + g1^24*t^7.3*y - (t^7.41*y)/g1^20 + (t^7.64*y)/g1^2 + (3*t^8.21*y)/g1^10 + g1^8*t^8.43*y + (2*t^8.55*y)/g1^36 + (2*t^8.77*y)/g1^18 + g1^44*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 5555 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2\tilde{q}_2$ + $ M_4M_8$ + $ M_9\phi_1\tilde{q}_2^2$ | 0.6758 | 0.8481 | 0.7968 | [X:[1.3579], M:[1.0209, 1.0947, 1.1685, 0.9791, 0.6421, 0.8315, 0.7159, 1.0209, 0.6742], q:[0.7737, 0.3949], qb:[0.5843, 0.4366], phi:[0.4526]] | t^2.02 + t^2.15 + t^2.49 + 2*t^3.06 + t^3.28 + t^3.51 + t^3.63 + t^3.73 + t^4.05 + t^4.07 + t^4.17 + 2*t^4.3 + t^4.42 + t^4.52 + t^4.64 + t^4.86 + t^4.99 + 2*t^5.09 + 2*t^5.21 + t^5.31 + t^5.53 + t^5.56 + 2*t^5.65 + t^5.75 + 2*t^5.78 - 2*t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1597 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.6577 | 0.8109 | 0.8111 | [X:[1.3529], M:[1.0392, 1.098, 1.1569, 0.9608, 0.6471, 0.8431, 0.7059], q:[0.7745, 0.3823], qb:[0.5784, 0.4608], phi:[0.451]] | t^2.12 + t^2.53 + t^2.88 + t^3.12 + t^3.29 + t^3.47 + t^3.65 + t^3.71 + t^4.06 + t^4.12 + 2*t^4.24 + t^4.47 + t^4.65 + t^4.82 + t^5. + t^5.06 + t^5.24 + t^5.41 + t^5.59 + t^5.76 + 2*t^5.82 - t^6. - t^4.35/y - t^4.35*y | detail |