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 |
|---|---|---|---|---|---|---|---|---|---|
| 748 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ | 0.6696 | 0.8291 | 0.8076 | [X:[], M:[1.0, 1.1494, 0.881, 0.8506, 0.7316], q:[0.7835, 0.3658], qb:[0.6342, 0.4848], phi:[0.4329]] | [X:[], M:[[0], [-3], [-11], [3], [-8]], q:[[1], [-4]], qb:[[4], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_5\phi_1^2$, $ M_3M_5$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_1M_5$, $ \phi_1^4$, $ M_3\phi_1^2$, $ M_3^2$, $ M_1\phi_1^2$, $ M_1M_3$, $ M_2M_5$, $ M_5\phi_1q_2^2$ | . | -1 | t^2.19 + t^2.55 + t^2.6 + t^2.64 + t^3. + t^3.45 + t^3.49 + t^3.85 + t^4.21 + t^4.25 + t^4.3 + t^4.39 + t^4.66 + t^4.75 + t^4.79 + t^4.84 + 2*t^5.1 + t^5.15 + 2*t^5.19 + t^5.24 + t^5.29 + t^5.6 + t^5.64 + t^5.69 - t^6. + 2*t^6.05 + 2*t^6.09 + t^6.14 - t^6.36 + t^6.4 + t^6.45 + 2*t^6.49 + t^6.58 + t^6.76 + 2*t^6.85 + t^6.9 + 2*t^6.94 + 2*t^6.99 + t^7.03 + t^7.21 + 2*t^7.3 + 2*t^7.34 + 2*t^7.39 + t^7.44 + t^7.48 - t^7.61 + t^7.66 + 3*t^7.7 + 2*t^7.75 + 3*t^7.79 + 2*t^7.84 + 2*t^7.88 + t^7.93 - t^8.19 + 2*t^8.24 + 2*t^8.29 + t^8.33 + t^8.42 - 2*t^8.55 + t^8.6 + 3*t^8.69 + 2*t^8.73 + 2*t^8.78 + t^8.86 - t^8.91 - t^4.3/y - t^6.49/y - t^6.9/y - t^6.94/y + t^7.66/y + t^7.7/y + t^7.75/y + t^7.79/y + t^7.84/y + t^8.1/y + t^8.15/y + (2*t^8.19)/y + t^8.24/y + t^8.55/y + t^8.6/y + (2*t^8.64)/y - t^4.3*y - t^6.49*y - t^6.9*y - t^6.94*y + t^7.66*y + t^7.7*y + t^7.75*y + t^7.79*y + t^7.84*y + t^8.1*y + t^8.15*y + 2*t^8.19*y + t^8.24*y + t^8.55*y + t^8.6*y + 2*t^8.64*y | 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*t^3.85 + g1^12*t^4.21 + g1^5*t^4.25 + t^4.3/g1^2 + t^4.39/g1^16 + g1^9*t^4.66 + t^4.75/g1^5 + t^4.79/g1^12 + t^4.84/g1^19 + 2*g1^6*t^5.1 + t^5.15/g1 + (2*t^5.19)/g1^8 + t^5.24/g1^15 + t^5.29/g1^22 + t^5.6/g1^4 + t^5.64/g1^11 + t^5.69/g1^18 - t^6. + (2*t^6.05)/g1^7 + (2*t^6.09)/g1^14 + t^6.14/g1^21 - g1^11*t^6.36 + g1^4*t^6.4 + t^6.45/g1^3 + (2*t^6.49)/g1^10 + t^6.58/g1^24 + g1^15*t^6.76 + 2*g1*t^6.85 + t^6.9/g1^6 + (2*t^6.94)/g1^13 + (2*t^6.99)/g1^20 + t^7.03/g1^27 + g1^12*t^7.21 + (2*t^7.3)/g1^2 + (2*t^7.34)/g1^9 + (2*t^7.39)/g1^16 + t^7.44/g1^23 + t^7.48/g1^30 - g1^16*t^7.61 + g1^9*t^7.66 + 3*g1^2*t^7.7 + (2*t^7.75)/g1^5 + (3*t^7.79)/g1^12 + (2*t^7.84)/g1^19 + (2*t^7.88)/g1^26 + t^7.93/g1^33 - t^8.19/g1^8 + (2*t^8.24)/g1^15 + (2*t^8.29)/g1^22 + t^8.33/g1^29 + g1^24*t^8.42 - 2*g1^3*t^8.55 + t^8.6/g1^4 + (3*t^8.69)/g1^18 + (2*t^8.73)/g1^25 + (2*t^8.78)/g1^32 + g1^21*t^8.86 - g1^14*t^8.91 - t^4.3/(g1^2*y) - t^6.49/(g1^10*y) - t^6.9/(g1^6*y) - t^6.94/(g1^13*y) + (g1^9*t^7.66)/y + (g1^2*t^7.7)/y + t^7.75/(g1^5*y) + t^7.79/(g1^12*y) + t^7.84/(g1^19*y) + (g1^6*t^8.1)/y + t^8.15/(g1*y) + (2*t^8.19)/(g1^8*y) + t^8.24/(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^6.49*y)/g1^10 - (t^6.9*y)/g1^6 - (t^6.94*y)/g1^13 + g1^9*t^7.66*y + g1^2*t^7.7*y + (t^7.75*y)/g1^5 + (t^7.79*y)/g1^12 + (t^7.84*y)/g1^19 + g1^6*t^8.1*y + (t^8.15*y)/g1 + (2*t^8.19*y)/g1^8 + (t^8.24*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 |
|---|---|---|---|---|---|---|---|---|
| 1230 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_3M_5$ | 0.6298 | 0.7779 | 0.8097 | [X:[], M:[1.0, 1.2105, 1.1053, 0.7895, 0.8947], q:[0.7632, 0.4474], qb:[0.5526, 0.3421], phi:[0.4737]] | t^2.37 + t^2.68 + t^2.84 + t^3. + t^3.32 + t^3.47 + t^3.63 + t^3.79 + t^3.95 + 2*t^4.11 + t^4.42 + 2*t^4.74 + t^5.05 + t^5.21 + t^5.37 + t^5.53 + t^5.68 + 2*t^5.84 - t^4.42/y - t^4.42*y | detail | {a: 4320/6859, c: 85365/109744, M1: 1, M2: 23/19, M3: 21/19, M4: 15/19, M5: 17/19, q1: 29/38, q2: 17/38, qb1: 21/38, qb2: 13/38, phi1: 9/19} |
| 1233 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_3M_6$ | 0.6611 | 0.8138 | 0.8124 | [X:[], M:[1.0, 1.1643, 0.9356, 0.8357, 0.7714, 1.0644], q:[0.7786, 0.3857], qb:[0.6143, 0.4501], phi:[0.4428]] | t^2.31 + t^2.51 + t^2.66 + t^3. + t^3.19 + t^3.49 + t^3.64 + t^3.84 + t^4.03 + t^4.18 + t^4.33 + t^4.52 + t^4.63 + t^4.82 + t^4.97 + 2*t^5.01 + t^5.16 + t^5.31 + t^5.51 + t^5.66 + t^5.7 + t^5.85 + t^5.96 - t^6. - t^4.33/y - t^4.33*y | detail | |
| 1232 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ | 0.6662 | 0.8225 | 0.81 | [X:[], M:[1.0, 1.1667, 0.9444, 0.8333, 0.7778], q:[0.7778, 0.3889], qb:[0.6111, 0.4444], phi:[0.4444]] | t^2.33 + t^2.5 + t^2.67 + t^2.83 + t^3. + t^3.5 + t^3.67 + t^3.83 + t^4. + t^4.17 + t^4.33 + t^4.5 + t^4.67 + t^4.83 + 3*t^5. + 2*t^5.17 + 2*t^5.33 + t^5.5 + 2*t^5.67 + t^5.83 - t^4.33/y - t^4.33*y | detail | {a: 1535/2304, c: 1895/2304, M1: 1, M2: 7/6, M3: 17/18, M4: 5/6, M5: 7/9, q1: 7/9, q2: 7/18, qb1: 11/18, qb2: 4/9, phi1: 4/9} |
| 1235 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6898 | 0.867 | 0.7955 | [X:[], M:[1.0, 1.149, 0.8796, 0.851, 0.7306, 0.7163], q:[0.7837, 0.3653], qb:[0.6347, 0.4857], phi:[0.4326]] | 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^4.3/y - t^4.3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 445 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ | 0.6501 | 0.7927 | 0.8201 | [X:[], M:[1.0, 1.1539, 0.8975, 0.8461], q:[0.782, 0.3718], qb:[0.6282, 0.4743], phi:[0.4359]] | t^2.54 + t^2.62 + t^2.69 + t^3. + t^3.46 + t^3.54 + t^3.77 + t^3.85 + t^4.15 + t^4.23 + t^4.31 + t^4.62 + 2*t^5.08 + t^5.15 + t^5.23 + t^5.31 + t^5.39 + t^5.62 - t^6. - t^4.31/y - t^4.31*y | detail |