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 |
|---|---|---|---|---|---|---|---|---|---|
| 1431 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_1M_6$ + $ M_4\phi_1^2$ | 0.707 | 0.8694 | 0.8131 | [X:[], M:[1.0397, 0.8808, 0.8808, 1.0397, 1.0, 0.9603], q:[0.5397, 0.4205], qb:[0.5795, 0.5397], phi:[0.4801]] | [X:[], M:[[2], [-6], [-6], [2], [0], [-2]], q:[[2], [-4]], qb:[[4], [2]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_4$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2M_6$, $ M_3M_6$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_2M_4$, $ M_3M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_5M_6$, $ M_5\phi_1^2$, $ M_3q_1\tilde{q}_2$ | $M_4M_6$ | -3 | 2*t^2.64 + 2*t^2.88 + t^3. + t^3.12 + t^3.24 + t^3.96 + 2*t^4.32 + t^4.44 + 3*t^4.68 + 2*t^4.8 + t^4.92 + 3*t^5.28 + 3*t^5.52 + 5*t^5.76 + 2*t^5.88 - 3*t^6. + t^6.12 + t^6.24 - t^6.36 + 2*t^6.61 + 2*t^6.84 + 4*t^6.96 + 4*t^7.2 + 6*t^7.32 + 6*t^7.56 + 3*t^7.68 + 3*t^7.92 + 5*t^7.93 + 4*t^8.17 + t^8.28 + 8*t^8.4 - t^8.52 + 4*t^8.76 - 6*t^8.88 - t^4.44/y - (2*t^7.08)/y + (2*t^7.8)/y + t^8.28/y + (4*t^8.52)/y + (2*t^8.64)/y + (3*t^8.76)/y + (4*t^8.88)/y - t^4.44*y - 2*t^7.08*y + 2*t^7.8*y + t^8.28*y + 4*t^8.52*y + 2*t^8.64*y + 3*t^8.76*y + 4*t^8.88*y | (2*t^2.64)/g1^6 + (2*t^2.88)/g1^2 + t^3. + g1^2*t^3.12 + g1^4*t^3.24 + t^3.96/g1^9 + (2*t^4.32)/g1^3 + t^4.44/g1 + 3*g1^3*t^4.68 + 2*g1^5*t^4.8 + g1^7*t^4.92 + (3*t^5.28)/g1^12 + (3*t^5.52)/g1^8 + (5*t^5.76)/g1^4 + (2*t^5.88)/g1^2 - 3*t^6. + g1^2*t^6.12 + g1^4*t^6.24 - g1^6*t^6.36 + (2*t^6.61)/g1^15 + (2*t^6.84)/g1^11 + (4*t^6.96)/g1^9 + (4*t^7.2)/g1^5 + (6*t^7.32)/g1^3 + 6*g1*t^7.56 + 3*g1^3*t^7.68 + 3*g1^7*t^7.92 + (5*t^7.93)/g1^18 + (4*t^8.17)/g1^14 + t^8.28/g1^12 + (8*t^8.4)/g1^10 - t^8.52/g1^8 + (4*t^8.76)/g1^4 - (6*t^8.88)/g1^2 - t^4.44/(g1*y) - (2*t^7.08)/(g1^7*y) + (2*g1^5*t^7.8)/y + t^8.28/(g1^12*y) + (4*t^8.52)/(g1^8*y) + (2*t^8.64)/(g1^6*y) + (3*t^8.76)/(g1^4*y) + (4*t^8.88)/(g1^2*y) - (t^4.44*y)/g1 - (2*t^7.08*y)/g1^7 + 2*g1^5*t^7.8*y + (t^8.28*y)/g1^12 + (4*t^8.52*y)/g1^8 + (2*t^8.64*y)/g1^6 + (3*t^8.76*y)/g1^4 + (4*t^8.88*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2495 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_1M_6$ + $ M_4\phi_1^2$ + $ M_4M_7$ | 0.7109 | 0.8768 | 0.8108 | [X:[], M:[1.0441, 0.8676, 0.8676, 1.0441, 1.0, 0.9559, 0.9559], q:[0.5441, 0.4117], qb:[0.5883, 0.5441], phi:[0.4779]] | 2*t^2.6 + 3*t^2.87 + t^3. + t^3.26 + t^3.9 + 2*t^4.3 + t^4.43 + 3*t^4.7 + 2*t^4.83 + t^4.96 + 3*t^5.21 + 5*t^5.47 + 6*t^5.74 + 3*t^5.87 - 5*t^6. - t^4.43/y - t^4.43*y | detail | |
| 2494 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_1M_6$ + $ M_4\phi_1^2$ + $ M_6M_7$ | 0.7035 | 0.863 | 0.8151 | [X:[], M:[1.0353, 0.8942, 0.8942, 1.0353, 1.0, 0.9647, 1.0353], q:[0.5353, 0.4295], qb:[0.5705, 0.5353], phi:[0.4824]] | 2*t^2.68 + t^2.89 + t^3. + 2*t^3.11 + t^3.21 + t^4.02 + 2*t^4.34 + t^4.45 + 3*t^4.66 + 2*t^4.76 + t^4.87 + 3*t^5.37 + t^5.58 + 5*t^5.79 + t^5.89 - 3*t^6. - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 934 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_1M_6$ | 0.7172 | 0.8839 | 0.8115 | [X:[], M:[1.0665, 0.8005, 0.9418, 0.9252, 1.0, 0.9335], q:[0.4959, 0.4376], qb:[0.5624, 0.6372], phi:[0.4667]] | t^2.4 + t^2.78 + 2*t^2.8 + t^2.83 + t^3. + t^3.4 + t^4.03 + t^4.2 + t^4.38 + t^4.4 + t^4.57 + t^4.62 + t^4.77 + 2*t^4.8 + t^5. + t^5.18 + 2*t^5.2 + t^5.22 + t^5.23 + t^5.55 + t^5.58 + 4*t^5.6 + t^5.63 + t^5.65 + 2*t^5.8 - 3*t^6. - t^4.4/y - t^4.4*y | detail |