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 |
|---|---|---|---|---|---|---|---|---|---|
| 2388 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_1M_7$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3X_1$ | 0.5703 | 0.7124 | 0.8005 | [X:[1.5726], M:[1.2822, 1.1452, 0.4274, 0.9919, 0.7178, 1.0081, 0.7178], q:[0.367, 0.3508], qb:[0.6411, 0.9315], phi:[0.4274]] | [X:[[2]], M:[[-6], [4], [-2], [-14], [6], [14], [6]], q:[[17], [-11]], qb:[[-3], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_7$, $ M_4$, $ M_6$, $ \phi_1q_2^2$, $ M_2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ q_1\tilde{q}_2$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ \phi_1q_1\tilde{q}_1$, $ X_1$, $ M_4M_5$, $ M_4M_7$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_6$, $ M_6M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_5\phi_1q_2^2$, $ M_7\phi_1q_2^2$, $ M_2M_5$, $ M_2M_7$, $ M_5\phi_1q_1q_2$, $ M_7\phi_1q_1q_2$, $ M_5\phi_1q_1^2$, $ M_7\phi_1q_1^2$ | . | -2 | 2*t^2.15 + t^2.98 + t^3.02 + t^3.39 + 2*t^3.44 + t^3.48 + t^3.9 + 3*t^4.31 + t^4.72 + 2*t^5.13 + 2*t^5.18 + t^5.54 + 3*t^5.59 + 2*t^5.64 - 2*t^6. + 2*t^6.05 + t^6.36 + t^6.41 + 5*t^6.46 + t^6.51 + t^6.77 + 3*t^6.87 + 2*t^6.92 + t^6.97 - t^7.23 + t^7.28 + 3*t^7.33 + t^7.38 + 3*t^7.74 + 4*t^7.79 - 4*t^8.15 + 3*t^8.2 + t^8.52 + 6*t^8.61 + 2*t^8.66 + t^8.93 - 4*t^8.98 - t^4.28/y - t^6.44/y + t^7.31/y + (3*t^8.13)/y + (2*t^8.18)/y + (2*t^8.54)/y + (3*t^8.59)/y + (2*t^8.64)/y - t^4.28*y - t^6.44*y + t^7.31*y + 3*t^8.13*y + 2*t^8.18*y + 2*t^8.54*y + 3*t^8.59*y + 2*t^8.64*y | 2*g1^6*t^2.15 + t^2.98/g1^14 + g1^14*t^3.02 + t^3.39/g1^24 + 2*g1^4*t^3.44 + g1^32*t^3.48 + g1^22*t^3.9 + 3*g1^12*t^4.31 + g1^2*t^4.72 + (2*t^5.13)/g1^8 + 2*g1^20*t^5.18 + t^5.54/g1^18 + 3*g1^10*t^5.59 + 2*g1^38*t^5.64 - 2*t^6. + 2*g1^28*t^6.05 + t^6.36/g1^38 + t^6.41/g1^10 + 5*g1^18*t^6.46 + g1^46*t^6.51 + t^6.77/g1^48 + 3*g1^8*t^6.87 + 2*g1^36*t^6.92 + g1^64*t^6.97 - t^7.23/g1^30 + t^7.28/g1^2 + 3*g1^26*t^7.33 + g1^54*t^7.38 + 3*g1^16*t^7.74 + 4*g1^44*t^7.79 - 4*g1^6*t^8.15 + 3*g1^34*t^8.2 + t^8.52/g1^32 + 6*g1^24*t^8.61 + 2*g1^52*t^8.66 + t^8.93/g1^42 - (4*t^8.98)/g1^14 - t^4.28/(g1^2*y) - (g1^4*t^6.44)/y + (g1^12*t^7.31)/y + (3*t^8.13)/(g1^8*y) + (2*g1^20*t^8.18)/y + (2*t^8.54)/(g1^18*y) + (3*g1^10*t^8.59)/y + (2*g1^38*t^8.64)/y - (t^4.28*y)/g1^2 - g1^4*t^6.44*y + g1^12*t^7.31*y + (3*t^8.13*y)/g1^8 + 2*g1^20*t^8.18*y + (2*t^8.54*y)/g1^18 + 3*g1^10*t^8.59*y + 2*g1^38*t^8.64*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 |
|---|---|---|---|---|---|---|---|---|
| 4408 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_1M_7$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3X_1$ + $ M_4M_8$ | 0.5705 | 0.7151 | 0.7978 | [X:[1.5698], M:[1.2907, 1.1395, 0.4302, 1.0116, 0.7093, 0.9884, 0.7093, 0.9884], q:[0.3431, 0.3662], qb:[0.6453, 0.9244], phi:[0.4302]] | 2*t^2.13 + 2*t^2.97 + t^3.35 + 2*t^3.42 + t^3.49 + t^3.8 + 3*t^4.26 + t^4.71 + 4*t^5.09 + 2*t^5.48 + 3*t^5.55 + t^5.62 + 4*t^5.93 - 3*t^6. - t^4.29/y - t^4.29*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1334 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_1M_7$ | 0.705 | 0.8667 | 0.8134 | [X:[], M:[1.0704, 1.0358, 0.858, 0.9988, 0.9296, 1.0012, 0.9296], q:[0.466, 0.4636], qb:[0.5352, 0.6068], phi:[0.4821]] | t^2.57 + 2*t^2.79 + 2*t^3. + t^3.11 + t^3.22 + t^4.23 + 2*t^4.24 + t^4.44 + t^4.45 + 3*t^4.66 + t^4.87 + t^5.09 + t^5.15 + 2*t^5.36 + 3*t^5.58 + t^5.68 + 2*t^5.79 + 2*t^5.9 - 3*t^6. - t^4.45/y - t^4.45*y | detail |