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 |
|---|---|---|---|---|---|---|---|---|---|
| 46898 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ M_2M_5$ + $ M_5q_2\tilde{q}_1$ | 0.7086 | 0.8735 | 0.8112 | [X:[], M:[0.9207, 1.0793, 1.0, 0.8413, 0.9207], q:[0.4603, 0.619], qb:[0.4603, 0.5397], phi:[0.4802]] | [X:[], M:[[-4], [4], [0], [-8], [-4]], q:[[-2], [6]], qb:[[-2], [2]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_3$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2^2$, $ M_1M_4$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_1^2$, $ M_3M_4$, $ M_1M_5$, $ M_5^2$, $ M_4q_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_1M_3$, $ M_3M_5$, $ \phi_1^4$, $ M_4q_2\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ M_3\phi_1^2$, $ \phi_1^2q_1\tilde{q}_2$ | $M_3q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$ | -1 | t^2.52 + 2*t^2.76 + t^2.88 + 2*t^3. + t^3.24 + 3*t^4.2 + 2*t^4.44 + 3*t^4.68 + t^4.92 + t^5.05 + t^5.15 + 2*t^5.29 + t^5.4 + 3*t^5.52 + 2*t^5.64 + 3*t^5.76 + 2*t^5.88 - t^6. + t^6.12 - 2*t^6.24 - t^6.48 + 3*t^6.73 + 6*t^6.96 + 3*t^7.08 + 8*t^7.2 - t^7.32 + 6*t^7.44 + t^7.56 + t^7.57 + 3*t^7.68 - 2*t^7.8 + 2*t^7.81 + 2*t^7.92 + t^7.93 + 3*t^8.05 + t^8.15 + 2*t^8.17 - t^8.27 + 4*t^8.29 + t^8.39 + 8*t^8.4 - t^8.52 + 7*t^8.64 - 7*t^8.76 + 6*t^8.88 - t^4.44/y - t^6.96/y - t^7.2/y - t^7.32/y + t^7.56/y + t^7.68/y + t^7.92/y + (2*t^8.29)/y + t^8.4/y + (3*t^8.52)/y + (2*t^8.64)/y + (5*t^8.76)/y + (2*t^8.88)/y - t^4.44*y - t^6.96*y - t^7.2*y - t^7.32*y + t^7.56*y + t^7.68*y + t^7.92*y + 2*t^8.29*y + t^8.4*y + 3*t^8.52*y + 2*t^8.64*y + 5*t^8.76*y + 2*t^8.88*y | t^2.52/g1^8 + (2*t^2.76)/g1^4 + t^2.88/g1^2 + 2*t^3. + g1^4*t^3.24 + (3*t^4.2)/g1^5 + (2*t^4.44)/g1 + 3*g1^3*t^4.68 + g1^7*t^4.92 + t^5.05/g1^16 + g1^11*t^5.15 + (2*t^5.29)/g1^12 + t^5.4/g1^10 + (3*t^5.52)/g1^8 + (2*t^5.64)/g1^6 + (3*t^5.76)/g1^4 + (2*t^5.88)/g1^2 - t^6. + g1^2*t^6.12 - 2*g1^4*t^6.24 - g1^8*t^6.48 + (3*t^6.73)/g1^13 + (6*t^6.96)/g1^9 + (3*t^7.08)/g1^7 + (8*t^7.2)/g1^5 - t^7.32/g1^3 + (6*t^7.44)/g1 + g1*t^7.56 + t^7.57/g1^24 + 3*g1^3*t^7.68 - 2*g1^5*t^7.8 + (2*t^7.81)/g1^20 + 2*g1^7*t^7.92 + t^7.93/g1^18 + (3*t^8.05)/g1^16 + g1^11*t^8.15 + (2*t^8.17)/g1^14 - g1^13*t^8.27 + (4*t^8.29)/g1^12 + g1^15*t^8.39 + (8*t^8.4)/g1^10 - t^8.52/g1^8 + (7*t^8.64)/g1^6 - (7*t^8.76)/g1^4 + (6*t^8.88)/g1^2 - t^4.44/(g1*y) - t^6.96/(g1^9*y) - t^7.2/(g1^5*y) - t^7.32/(g1^3*y) + (g1*t^7.56)/y + (g1^3*t^7.68)/y + (g1^7*t^7.92)/y + (2*t^8.29)/(g1^12*y) + t^8.4/(g1^10*y) + (3*t^8.52)/(g1^8*y) + (2*t^8.64)/(g1^6*y) + (5*t^8.76)/(g1^4*y) + (2*t^8.88)/(g1^2*y) - (t^4.44*y)/g1 - (t^6.96*y)/g1^9 - (t^7.2*y)/g1^5 - (t^7.32*y)/g1^3 + g1*t^7.56*y + g1^3*t^7.68*y + g1^7*t^7.92*y + (2*t^8.29*y)/g1^12 + (t^8.4*y)/g1^10 + (3*t^8.52*y)/g1^8 + (2*t^8.64*y)/g1^6 + (5*t^8.76*y)/g1^4 + (2*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 |
|---|---|---|---|---|---|---|---|---|
| 55276 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ M_2M_5$ + $ M_5q_2\tilde{q}_1$ + $ M_6\phi_1^2$ | 0.705 | 0.8668 | 0.8134 | [X:[], M:[0.929, 1.071, 1.0, 0.858, 0.929, 1.0355], q:[0.4645, 0.6065], qb:[0.4645, 0.5355], phi:[0.4823]] | t^2.57 + 2*t^2.79 + 2*t^3. + t^3.11 + t^3.21 + 3*t^4.23 + 2*t^4.45 + 3*t^4.66 + t^4.87 + t^5.09 + t^5.15 + 2*t^5.36 + 3*t^5.57 + t^5.68 + 2*t^5.79 + 2*t^5.89 - t^6. - t^4.45/y - t^4.45*y | detail | |
| 52956 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ M_2M_5$ + $ M_5q_2\tilde{q}_1$ + $ M_6q_2\tilde{q}_1$ | 0.7165 | 0.8891 | 0.8059 | [X:[], M:[0.9053, 1.0947, 1.0, 0.8105, 0.9053, 0.9053], q:[0.4526, 0.6421], qb:[0.4526, 0.5474], phi:[0.4763]] | t^2.43 + 3*t^2.72 + t^2.86 + 2*t^3. + 3*t^4.14 + 2*t^4.43 + 3*t^4.71 + t^4.86 + t^5. + 3*t^5.15 + t^5.28 + t^5.29 + 6*t^5.43 + 3*t^5.57 + 4*t^5.72 + 2*t^5.86 - 3*t^6. - t^4.43/y - t^4.43*y | detail | |
| 55156 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ M_2M_5$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_4X_1$ | 0.658 | 0.8114 | 0.8109 | [X:[1.3636], M:[0.8182, 1.1818, 1.0, 0.6364, 0.8182], q:[0.4091, 0.7727], qb:[0.4091, 0.5909], phi:[0.4545]] | 2*t^2.45 + t^2.73 + 2*t^3. + t^3.55 + 3*t^3.82 + t^4.09 + 2*t^4.36 + 4*t^4.91 + 2*t^5.18 + 3*t^5.45 + 2*t^5.73 - t^4.36/y - t^4.36*y | detail | {a: 14013/21296, c: 1080/1331, X1: 15/11, M1: 9/11, M2: 13/11, M3: 1, M4: 7/11, M5: 9/11, q1: 9/22, q2: 17/22, qb1: 9/22, qb2: 13/22, phi1: 5/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46774 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ M_2M_5$ | 0.7096 | 0.8749 | 0.811 | [X:[], M:[0.9169, 1.0831, 1.0, 0.8338, 0.9169], q:[0.4765, 0.6066], qb:[0.4404, 0.5596], phi:[0.4792]] | t^2.5 + 2*t^2.75 + t^2.88 + t^3. + t^3.11 + t^3.14 + t^4.08 + t^4.19 + t^4.3 + t^4.44 + t^4.55 + t^4.58 + t^4.69 + t^4.8 + t^4.94 + t^5. + t^5.08 + 2*t^5.25 + t^5.38 + 3*t^5.5 + 2*t^5.63 + 2*t^5.75 + t^5.86 + t^5.88 + t^5.89 + t^5.98 - 3*t^6. - t^4.44/y - t^4.44*y | detail |