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 |
|---|---|---|---|---|---|---|---|---|---|
| 51267 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_2M_6$ + $ M_5M_6$ | 0.6942 | 0.85 | 0.8166 | [X:[], M:[1.0348, 1.0116, 0.9652, 0.9652, 1.0116, 0.9884], q:[0.4826, 0.4826], qb:[0.5058, 0.5522], phi:[0.4942]] | [X:[], M:[[6], [2], [-6], [-6], [2], [-2]], q:[[-3], [-3]], qb:[[1], [9]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_6$, $ M_4M_6$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_3M_5$, $ M_4M_5$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$ | $M_1M_4$ | -2 | 2*t^2.9 + 2*t^2.97 + t^3.03 + t^3.1 + t^3.17 + 3*t^4.38 + 2*t^4.45 + t^4.52 + 2*t^4.59 + t^4.66 + t^4.8 + t^5.79 + 3*t^5.86 + 3*t^5.93 - 2*t^6. + 2*t^6.07 + 2*t^6.14 + t^6.28 + t^6.35 + 4*t^7.27 + 7*t^7.34 + 3*t^7.41 + 2*t^7.48 + 4*t^7.55 + 2*t^7.62 + 2*t^7.69 + 3*t^7.76 + t^7.83 + t^7.9 + t^7.97 + t^8.69 + 6*t^8.76 + 6*t^8.83 - 2*t^8.9 - 2*t^8.97 - t^4.48/y - t^7.38/y + t^7.59/y + t^8.79/y + (4*t^8.86)/y + (3*t^8.93)/y - t^4.48*y - t^7.38*y + t^7.59*y + t^8.79*y + 4*t^8.86*y + 3*t^8.93*y | (2*t^2.9)/g1^6 + (2*t^2.97)/g1^2 + g1^2*t^3.03 + g1^6*t^3.1 + g1^10*t^3.17 + (3*t^4.38)/g1^7 + (2*t^4.45)/g1^3 + g1*t^4.52 + 2*g1^5*t^4.59 + g1^9*t^4.66 + g1^17*t^4.8 + t^5.79/g1^12 + (3*t^5.86)/g1^8 + (3*t^5.93)/g1^4 - 2*t^6. + 2*g1^4*t^6.07 + 2*g1^8*t^6.14 + g1^16*t^6.28 + g1^20*t^6.35 + (4*t^7.27)/g1^13 + (7*t^7.34)/g1^9 + (3*t^7.41)/g1^5 + (2*t^7.48)/g1 + 4*g1^3*t^7.55 + 2*g1^7*t^7.62 + 2*g1^11*t^7.69 + 3*g1^15*t^7.76 + g1^19*t^7.83 + g1^23*t^7.9 + g1^27*t^7.97 + t^8.69/g1^18 + (6*t^8.76)/g1^14 + (6*t^8.83)/g1^10 - (2*t^8.9)/g1^6 - (2*t^8.97)/g1^2 - t^4.48/(g1*y) - t^7.38/(g1^7*y) + (g1^5*t^7.59)/y + t^8.79/(g1^12*y) + (4*t^8.86)/(g1^8*y) + (3*t^8.93)/(g1^4*y) - (t^4.48*y)/g1 - (t^7.38*y)/g1^7 + g1^5*t^7.59*y + (t^8.79*y)/g1^12 + (4*t^8.86*y)/g1^8 + (3*t^8.93*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56258 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_2M_6$ + $ M_5M_6$ + $ M_1M_7$ | 0.6984 | 0.8575 | 0.8144 | [X:[], M:[1.0557, 1.0186, 0.9443, 0.9443, 1.0186, 0.9814, 0.9443], q:[0.4721, 0.4721], qb:[0.5093, 0.5836], phi:[0.4907]] | 3*t^2.83 + 2*t^2.94 + t^3.06 + t^3.28 + 3*t^4.3 + 2*t^4.42 + t^4.53 + 2*t^4.64 + t^4.75 + t^4.97 + 4*t^5.67 + 5*t^5.78 + 4*t^5.89 - 4*t^6. - t^4.47/y - t^4.47*y | detail | |
| 56257 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_2M_6$ + $ M_5M_6$ + $ M_5M_7$ | 0.6954 | 0.852 | 0.8161 | [X:[], M:[1.0419, 1.014, 0.9581, 0.9581, 1.014, 0.986, 0.986], q:[0.4791, 0.4791], qb:[0.507, 0.5628], phi:[0.493]] | 2*t^2.87 + 3*t^2.96 + t^3.13 + t^3.21 + 3*t^4.35 + 2*t^4.44 + t^4.52 + 2*t^4.6 + t^4.69 + t^4.86 + t^5.75 + 5*t^5.83 + 4*t^5.92 - 4*t^6. - t^4.48/y - t^4.48*y | detail | |
| 56256 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_2M_6$ + $ M_5M_6$ + $ \phi_1\tilde{q}_2^2$ | 0.6538 | 0.8082 | 0.8089 | [X:[], M:[1.1765, 1.0588, 0.8235, 0.8235, 1.0588, 0.9412], q:[0.4118, 0.4118], qb:[0.5294, 0.7647], phi:[0.4706]] | 2*t^2.47 + 2*t^2.82 + t^3.18 + t^3.53 + 4*t^3.88 + 2*t^4.24 + t^4.59 + 3*t^4.94 + 4*t^5.29 + 3*t^5.65 - t^6. - t^4.41/y - t^4.41*y | detail | {a: 25695/39304, c: 7941/9826, M1: 20/17, M2: 18/17, M3: 14/17, M4: 14/17, M5: 18/17, M6: 16/17, q1: 7/17, q2: 7/17, qb1: 9/17, qb2: 13/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47051 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_2M_6$ | 0.6952 | 0.8535 | 0.8145 | [X:[], M:[1.0257, 1.0461, 0.9743, 0.9368, 1.0086, 0.9539], q:[0.4684, 0.5059], qb:[0.4855, 0.5572], phi:[0.4957]] | t^2.81 + t^2.86 + t^2.92 + t^2.97 + t^3.03 + t^3.08 + t^3.13 + t^4.3 + t^4.35 + t^4.4 + t^4.41 + t^4.46 + t^4.52 + t^4.56 + t^4.62 + t^4.68 + t^4.83 + t^5.62 + t^5.67 + t^5.72 + t^5.78 + 2*t^5.84 + t^5.89 + t^5.9 + t^5.94 + t^5.95 + t^5.99 - 2*t^6. - t^4.49/y - t^4.49*y | detail |