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 |
|---|---|---|---|---|---|---|---|---|---|
| 1070 | 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_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1q_2^2$ | 0.6633 | 0.8389 | 0.7907 | [X:[], M:[0.7907, 1.2, 0.8093, 0.8, 0.8093, 0.7814], q:[0.8, 0.4093], qb:[0.8, 0.3907], phi:[0.4]] | [X:[], M:[[1], [0], [-1], [0], [-1], [2]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_1$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_5$, $ \phi_1\tilde{q}_2^2$, $ M_2$, $ q_1q_2$, $ M_6^2$, $ M_1M_6$, $ M_1^2$, $ M_4M_6$, $ M_6\phi_1^2$, $ M_1M_4$, $ M_3M_6$, $ M_5M_6$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_4^2$, $ M_1M_5$, $ M_4\phi_1^2$, $ \phi_1^4$, $ q_1\tilde{q}_1$, $ M_3M_4$, $ M_4M_5$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_6\phi_1\tilde{q}_2^2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_2M_6$, $ M_4\phi_1\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_2^2$, $ M_1M_2$, $ M_6q_1q_2$, $ M_3\phi_1\tilde{q}_2^2$, $ M_5\phi_1\tilde{q}_2^2$ | $\phi_1\tilde{q}_1^2$ | 0 | t^2.34 + t^2.37 + 2*t^2.4 + 2*t^2.43 + t^3.54 + t^3.6 + t^3.63 + t^4.69 + t^4.72 + 3*t^4.74 + 4*t^4.77 + 6*t^4.8 + 4*t^4.83 + 3*t^4.86 + t^5.89 + t^5.92 + 2*t^5.94 + 2*t^5.97 + 2*t^6.03 + t^6.06 + t^7.03 + t^7.06 + 4*t^7.09 + 5*t^7.12 + 7*t^7.14 + 7*t^7.17 + 9*t^7.2 + 8*t^7.23 + 5*t^7.26 + 4*t^7.28 + t^8.23 + t^8.26 + 3*t^8.29 + 3*t^8.32 + 2*t^8.34 - 2*t^8.37 - t^8.4 - 3*t^8.43 + t^8.48 - t^4.2/y - t^6.54/y - t^6.57/y - t^6.6/y - (2*t^6.63)/y + t^7.72/y + (2*t^7.74)/y + (6*t^7.77)/y + (4*t^7.8)/y + (5*t^7.83)/y + (2*t^7.86)/y + t^8.94/y + t^8.97/y - t^4.2*y - t^6.54*y - t^6.57*y - t^6.6*y - 2*t^6.63*y + t^7.72*y + 2*t^7.74*y + 6*t^7.77*y + 4*t^7.8*y + 5*t^7.83*y + 2*t^7.86*y + t^8.94*y + t^8.97*y | g1^2*t^2.34 + g1*t^2.37 + 2*t^2.4 + (2*t^2.43)/g1 + g1^2*t^3.54 + t^3.6 + t^3.63/g1 + g1^4*t^4.69 + g1^3*t^4.72 + 3*g1^2*t^4.74 + 4*g1*t^4.77 + 6*t^4.8 + (4*t^4.83)/g1 + (3*t^4.86)/g1^2 + g1^4*t^5.89 + g1^3*t^5.92 + 2*g1^2*t^5.94 + 2*g1*t^5.97 + (2*t^6.03)/g1 + t^6.06/g1^2 + g1^6*t^7.03 + g1^5*t^7.06 + 4*g1^4*t^7.09 + 5*g1^3*t^7.12 + 7*g1^2*t^7.14 + 7*g1*t^7.17 + 9*t^7.2 + (8*t^7.23)/g1 + (5*t^7.26)/g1^2 + (4*t^7.28)/g1^3 + g1^6*t^8.23 + g1^5*t^8.26 + 3*g1^4*t^8.29 + 3*g1^3*t^8.32 + 2*g1^2*t^8.34 - 2*g1*t^8.37 - t^8.4 - (3*t^8.43)/g1 + t^8.48/g1^3 - t^4.2/y - (g1^2*t^6.54)/y - (g1*t^6.57)/y - t^6.6/y - (2*t^6.63)/(g1*y) + (g1^3*t^7.72)/y + (2*g1^2*t^7.74)/y + (6*g1*t^7.77)/y + (4*t^7.8)/y + (5*t^7.83)/(g1*y) + (2*t^7.86)/(g1^2*y) + (g1^2*t^8.94)/y + (g1*t^8.97)/y - t^4.2*y - g1^2*t^6.54*y - g1*t^6.57*y - t^6.6*y - (2*t^6.63*y)/g1 + g1^3*t^7.72*y + 2*g1^2*t^7.74*y + 6*g1*t^7.77*y + 4*t^7.8*y + (5*t^7.83*y)/g1 + (2*t^7.86*y)/g1^2 + g1^2*t^8.94*y + g1*t^8.97*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 1667 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1q_2^2$ + $ M_2M_7$ | 0.6798 | 0.8679 | 0.7833 | [X:[], M:[0.7907, 1.2, 0.8093, 0.8, 0.8093, 0.7814, 0.8], q:[0.8, 0.4093], qb:[0.8, 0.3907], phi:[0.4]] | t^2.34 + t^2.37 + 3*t^2.4 + 2*t^2.43 + t^3.54 + t^3.63 + t^4.69 + t^4.72 + 4*t^4.74 + 5*t^4.77 + 9*t^4.8 + 6*t^4.83 + 3*t^4.86 + t^5.89 + t^5.92 + 2*t^5.94 + t^5.97 - 2*t^6. - t^4.2/y - t^4.2*y | detail | |
| 1664 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ | 0.6269 | 0.7957 | 0.7879 | [X:[], M:[0.9, 1.2, 0.7, 0.8, 0.7, 1.0], q:[0.8, 0.3], qb:[0.8, 0.5], phi:[0.4]] | 2*t^2.1 + 2*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + 4*t^4.2 + 4*t^4.5 + 6*t^4.8 + 4*t^5.1 + 4*t^5.4 + 3*t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 20061/32000, c: 25461/32000, M1: 9/10, M2: 6/5, M3: 7/10, M4: 4/5, M5: 7/10, M6: 1, q1: 4/5, q2: 3/10, qb1: 4/5, qb2: 1/2, phi1: 2/5} |
| 1666 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.6797 | 0.8677 | 0.7834 | [X:[], M:[0.8077, 1.2, 0.7923, 0.8, 0.7923, 0.8154, 0.7846], q:[0.8, 0.3923], qb:[0.8, 0.4077], phi:[0.4]] | t^2.35 + 2*t^2.38 + 2*t^2.4 + t^2.42 + t^2.45 + t^3.58 + t^3.6 + t^4.71 + 2*t^4.73 + 5*t^4.75 + 5*t^4.78 + 7*t^4.8 + 4*t^4.82 + 3*t^4.85 + t^4.87 + t^4.89 + t^5.93 + 2*t^5.95 + 2*t^5.98 - t^4.2/y - t^4.2*y | detail | |
| 1665 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1q_2^2$ + $ M_7q_1q_2$ | 0.6806 | 0.8702 | 0.782 | [X:[], M:[0.7825, 1.2, 0.8175, 0.8, 0.8175, 0.7651, 0.7825], q:[0.8, 0.4175], qb:[0.8, 0.3825], phi:[0.4]] | t^2.3 + 2*t^2.35 + 2*t^2.4 + 2*t^2.45 + t^3.5 + t^3.6 + t^4.59 + 2*t^4.64 + 5*t^4.7 + 6*t^4.75 + 8*t^4.8 + 4*t^4.85 + 3*t^4.9 + t^5.79 + 2*t^5.84 + 2*t^5.9 + 2*t^5.95 - t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 666 | 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_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ | 0.6469 | 0.8101 | 0.7985 | [X:[], M:[0.8118, 1.2, 0.7882, 0.8, 0.7882], q:[0.8, 0.3882], qb:[0.8, 0.4118], phi:[0.4]] | 2*t^2.36 + 2*t^2.4 + t^2.44 + t^3.53 + t^3.56 + t^3.6 + t^3.67 + 3*t^4.73 + 4*t^4.76 + 6*t^4.8 + 2*t^4.84 + t^4.87 + 2*t^5.89 + 3*t^5.93 + 3*t^5.96 - t^4.2/y - t^4.2*y | detail |