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 |
|---|---|---|---|---|---|---|---|---|---|
| 51331 | 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_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6898 | 0.867 | 0.7955 | [X:[], M:[0.851, 1.0, 1.149, 0.7306, 0.7163, 0.8796], q:[0.3653, 0.7837], qb:[0.6347, 0.4857], phi:[0.4326]] | [X:[], M:[[3], [0], [-3], [-8], [-1], [-11]], q:[[-4], [1]], qb:[[4], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ M_1$, $ \phi_1^2$, $ M_6$, $ M_2$, $ M_3$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_1$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_5$, $ M_4^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_5$, $ M_1M_4$, $ M_5\phi_1^2$, $ \phi_1q_1q_2$, $ M_5M_6$, $ M_4\phi_1^2$, $ M_4M_6$, $ M_1^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_5$, $ M_1\phi_1^2$, $ M_2M_4$, $ M_1M_6$, $ \phi_1^4$, $ M_6\phi_1^2$, $ M_6^2$, $ M_3M_5$, $ M_2\phi_1^2$, $ M_3M_4$, $ M_2M_6$, $ M_5\phi_1q_1^2$, $ M_4\phi_1q_1^2$ | . | -1 | t^2.15 + t^2.19 + t^2.55 + t^2.6 + t^2.64 + t^3. + t^3.45 + t^3.49 + t^4.21 + t^4.26 + 2*t^4.3 + t^4.34 + t^4.38 + t^4.66 + t^4.7 + 2*t^4.74 + 2*t^4.79 + t^4.83 + 2*t^5.11 + 2*t^5.15 + 2*t^5.19 + t^5.23 + t^5.28 + 2*t^5.6 + 2*t^5.64 + t^5.68 - t^6. + t^6.04 + 2*t^6.09 + t^6.13 + t^6.4 + 2*t^6.45 + 2*t^6.49 + t^6.53 + t^6.58 + t^6.77 + t^6.81 + 2*t^6.85 + 3*t^6.89 + 4*t^6.94 + 3*t^6.98 + t^7.02 + t^7.21 + 2*t^7.26 + 3*t^7.3 + 3*t^7.34 + 3*t^7.38 + 2*t^7.43 + t^7.47 - t^7.62 + t^7.66 + 2*t^7.7 + 4*t^7.74 + 5*t^7.79 + 3*t^7.83 + 2*t^7.87 + t^7.92 - t^8.06 - t^8.11 - 2*t^8.15 + 3*t^8.23 + 3*t^8.28 + t^8.32 + t^8.42 - t^8.51 - t^8.55 + 2*t^8.6 + t^8.64 + 3*t^8.68 + 3*t^8.72 + 2*t^8.77 + t^8.87 - t^8.96 - t^4.3/y - t^6.45/y - t^6.49/y - t^6.89/y - t^6.94/y + t^7.34/y + t^7.66/y + (2*t^7.7)/y + (2*t^7.74)/y + (2*t^7.79)/y + t^7.83/y + t^8.11/y + (3*t^8.15)/y + (2*t^8.19)/y + t^8.23/y + t^8.55/y + t^8.6/y + (2*t^8.64)/y - t^4.3*y - t^6.45*y - t^6.49*y - t^6.89*y - t^6.94*y + t^7.34*y + t^7.66*y + 2*t^7.7*y + 2*t^7.74*y + 2*t^7.79*y + t^7.83*y + t^8.11*y + 3*t^8.15*y + 2*t^8.19*y + t^8.23*y + t^8.55*y + t^8.6*y + 2*t^8.64*y | t^2.15/g1 + t^2.19/g1^8 + g1^3*t^2.55 + t^2.6/g1^4 + t^2.64/g1^11 + t^3. + t^3.45/g1^3 + t^3.49/g1^10 + g1^12*t^4.21 + g1^5*t^4.26 + (2*t^4.3)/g1^2 + t^4.34/g1^9 + t^4.38/g1^16 + g1^9*t^4.66 + g1^2*t^4.7 + (2*t^4.74)/g1^5 + (2*t^4.79)/g1^12 + t^4.83/g1^19 + 2*g1^6*t^5.11 + (2*t^5.15)/g1 + (2*t^5.19)/g1^8 + t^5.23/g1^15 + t^5.28/g1^22 + (2*t^5.6)/g1^4 + (2*t^5.64)/g1^11 + t^5.68/g1^18 - t^6. + t^6.04/g1^7 + (2*t^6.09)/g1^14 + t^6.13/g1^21 + g1^4*t^6.4 + (2*t^6.45)/g1^3 + (2*t^6.49)/g1^10 + t^6.53/g1^17 + t^6.58/g1^24 + g1^15*t^6.77 + g1^8*t^6.81 + 2*g1*t^6.85 + (3*t^6.89)/g1^6 + (4*t^6.94)/g1^13 + (3*t^6.98)/g1^20 + t^7.02/g1^27 + g1^12*t^7.21 + 2*g1^5*t^7.26 + (3*t^7.3)/g1^2 + (3*t^7.34)/g1^9 + (3*t^7.38)/g1^16 + (2*t^7.43)/g1^23 + t^7.47/g1^30 - g1^16*t^7.62 + g1^9*t^7.66 + 2*g1^2*t^7.7 + (4*t^7.74)/g1^5 + (5*t^7.79)/g1^12 + (3*t^7.83)/g1^19 + (2*t^7.87)/g1^26 + t^7.92/g1^33 - g1^13*t^8.06 - g1^6*t^8.11 - (2*t^8.15)/g1 + (3*t^8.23)/g1^15 + (3*t^8.28)/g1^22 + t^8.32/g1^29 + g1^24*t^8.42 - g1^10*t^8.51 - g1^3*t^8.55 + (2*t^8.6)/g1^4 + t^8.64/g1^11 + (3*t^8.68)/g1^18 + (3*t^8.72)/g1^25 + (2*t^8.77)/g1^32 + g1^21*t^8.87 - g1^7*t^8.96 - t^4.3/(g1^2*y) - t^6.45/(g1^3*y) - t^6.49/(g1^10*y) - t^6.89/(g1^6*y) - t^6.94/(g1^13*y) + t^7.34/(g1^9*y) + (g1^9*t^7.66)/y + (2*g1^2*t^7.7)/y + (2*t^7.74)/(g1^5*y) + (2*t^7.79)/(g1^12*y) + t^7.83/(g1^19*y) + (g1^6*t^8.11)/y + (3*t^8.15)/(g1*y) + (2*t^8.19)/(g1^8*y) + t^8.23/(g1^15*y) + (g1^3*t^8.55)/y + t^8.6/(g1^4*y) + (2*t^8.64)/(g1^11*y) - (t^4.3*y)/g1^2 - (t^6.45*y)/g1^3 - (t^6.49*y)/g1^10 - (t^6.89*y)/g1^6 - (t^6.94*y)/g1^13 + (t^7.34*y)/g1^9 + g1^9*t^7.66*y + 2*g1^2*t^7.7*y + (2*t^7.74*y)/g1^5 + (2*t^7.79*y)/g1^12 + (t^7.83*y)/g1^19 + g1^6*t^8.11*y + (3*t^8.15*y)/g1 + (2*t^8.19*y)/g1^8 + (t^8.23*y)/g1^15 + g1^3*t^8.55*y + (t^8.6*y)/g1^4 + (2*t^8.64*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56239 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_3M_7$ | 0.7029 | 0.889 | 0.7906 | [X:[], M:[0.8478, 1.0, 1.1522, 0.7393, 0.7174, 0.8915, 0.8478], q:[0.3697, 0.7826], qb:[0.6303, 0.4781], phi:[0.4348]] | t^2.15 + t^2.22 + 2*t^2.54 + t^2.61 + t^2.67 + t^3. + t^3.52 + t^4.17 + t^4.24 + 2*t^4.3 + t^4.37 + t^4.44 + t^4.63 + 2*t^4.7 + 3*t^4.76 + 2*t^4.83 + t^4.89 + 4*t^5.09 + 3*t^5.15 + 3*t^5.22 + t^5.28 + t^5.35 + t^5.54 + t^5.61 + t^5.67 + t^5.74 - 2*t^6. - t^4.3/y - t^4.3*y | detail | |
| 56311 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_4M_6$ | 0.6494 | 0.8138 | 0.7979 | [X:[], M:[0.7895, 1.0, 1.2105, 0.8947, 0.7368, 1.1053], q:[0.4474, 0.7632], qb:[0.5526, 0.3421], phi:[0.4737]] | t^2.21 + t^2.37 + t^2.68 + t^2.84 + t^3. + t^3.32 + t^3.47 + t^3.63 + t^3.95 + 2*t^4.11 + 2*t^4.42 + t^4.58 + 2*t^4.74 + t^4.89 + 2*t^5.05 + 2*t^5.21 + t^5.37 + 2*t^5.53 + 2*t^5.68 + 3*t^5.84 - t^4.42/y - t^4.42*y | detail | {a: 71265/109744, c: 89315/109744, M1: 15/19, M2: 1, M3: 23/19, M4: 17/19, M5: 14/19, M6: 21/19, q1: 17/38, q2: 29/38, qb1: 21/38, qb2: 13/38, phi1: 9/19} |
| 56319 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ | 0.6617 | 0.8283 | 0.7988 | [X:[], M:[0.8, 1.0, 1.2, 0.8667, 0.7333, 1.0667], q:[0.4333, 0.7667], qb:[0.5667, 0.3667], phi:[0.4667]] | t^2.2 + t^2.4 + t^2.6 + t^2.8 + t^3. + t^3.2 + 2*t^3.6 + 2*t^4. + t^4.2 + 2*t^4.4 + t^4.6 + 3*t^4.8 + 2*t^5. + 3*t^5.2 + 2*t^5.4 + 2*t^5.6 + 3*t^5.8 + t^6. - t^4.4/y - t^4.4*y | detail | {a: 397/600, c: 497/600, M1: 4/5, M2: 1, M3: 6/5, M4: 13/15, M5: 11/15, M6: 16/15, q1: 13/30, q2: 23/30, qb1: 17/30, qb2: 11/30, phi1: 7/15} |
| 56240 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1q_1^2$ | 0.7049 | 0.8924 | 0.7899 | [X:[], M:[0.8418, 1.0, 1.1582, 0.7551, 0.7194, 0.9133, 0.8061], q:[0.3776, 0.7806], qb:[0.6224, 0.4643], phi:[0.4388]] | t^2.16 + t^2.27 + t^2.42 + t^2.53 + t^2.63 + t^2.74 + t^3. + t^3.47 + t^4.1 + t^4.21 + 2*t^4.32 + t^4.42 + t^4.53 + 2*t^4.58 + 2*t^4.68 + 2*t^4.79 + t^4.84 + 2*t^4.9 + t^4.94 + t^5.01 + 3*t^5.05 + 3*t^5.16 + 2*t^5.27 + t^5.37 + t^5.42 + t^5.48 + 2*t^5.63 + t^5.74 + t^5.89 - t^6. - t^4.32/y - t^4.32*y | detail | |
| 56321 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1^2$ | 0.6781 | 0.8463 | 0.8012 | [X:[], M:[0.8463, 1.0, 1.1537, 0.7431, 0.7179, 0.8968, 1.1284], q:[0.3716, 0.7821], qb:[0.6284, 0.4748], phi:[0.4358]] | t^2.15 + t^2.23 + t^2.54 + t^2.69 + t^3. + t^3.39 + t^3.46 + t^3.54 + t^4.16 + t^4.23 + 2*t^4.31 + t^4.38 + t^4.46 + t^4.62 + t^4.69 + t^4.77 + t^4.84 + t^4.92 + 2*t^5.08 + t^5.15 + t^5.23 + t^5.38 + t^5.54 + 2*t^5.61 + 2*t^5.69 + t^5.77 + t^5.92 - t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48195 | 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_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ | 0.6812 | 0.8512 | 0.8002 | [X:[], M:[0.8362, 1.0, 1.1638, 0.7701, 0.7213], q:[0.3851, 0.7787], qb:[0.6149, 0.4511], phi:[0.4425]] | t^2.16 + t^2.31 + t^2.51 + t^2.66 + t^3. + t^3.2 + t^3.49 + t^3.64 + t^4.03 + t^4.18 + 2*t^4.33 + t^4.47 + t^4.53 + t^4.62 + t^4.67 + 2*t^4.82 + t^4.97 + 2*t^5.02 + 2*t^5.16 + t^5.31 + t^5.36 + t^5.51 + 2*t^5.66 + t^5.71 + t^5.8 + t^5.85 + t^5.95 - t^6. - t^4.33/y - t^4.33*y | detail |