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 |
|---|---|---|---|---|---|---|---|---|---|
| 46980 | 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_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_1^2$ + $ M_4M_5$ | 0.7095 | 0.8749 | 0.811 | [X:[], M:[1.0, 0.8342, 0.9171, 1.0829, 0.9171], q:[0.5622, 0.4378], qb:[0.6036, 0.4793], phi:[0.4793]] | [X:[], M:[[0], [8], [4], [-4], [4]], q:[[-3], [3]], qb:[[-5], [1]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_5$, $ \phi_1^2$, $ M_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_2M_3$, $ M_2M_5$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_2q_2\tilde{q}_1$, $ M_1M_3$, $ M_1M_5$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$ | $\phi_1^2q_1\tilde{q}_2$ | -1 | t^2.5 + 2*t^2.75 + t^2.88 + t^3. + 2*t^3.12 + t^4.06 + t^4.19 + t^4.31 + t^4.44 + 2*t^4.56 + t^4.69 + t^4.81 + t^4.94 + t^5.01 + t^5.06 + 2*t^5.25 + t^5.38 + 3*t^5.5 + 2*t^5.63 + 2*t^5.75 + 3*t^5.88 - t^6. + t^6.25 - 2*t^6.37 - t^6.5 + t^6.57 + t^6.69 + 3*t^6.82 + 3*t^6.94 + 4*t^7.06 + 4*t^7.19 + 4*t^7.31 + 3*t^7.44 + t^7.51 + 3*t^7.56 + 2*t^7.69 + 2*t^7.76 + t^7.81 + t^7.88 + t^7.94 + 3*t^8.01 + 3*t^8.13 + 5*t^8.25 + 3*t^8.38 + 2*t^8.5 + 5*t^8.63 - 3*t^8.75 - t^8.88 - t^4.44/y - t^6.94/y - t^7.19/y - t^7.31/y + t^7.56/y + t^7.69/y + t^7.94/y + (2*t^8.25)/y + t^8.38/y + (2*t^8.5)/y + (4*t^8.63)/y + (2*t^8.75)/y + (5*t^8.88)/y - t^4.44*y - t^6.94*y - t^7.19*y - t^7.31*y + t^7.56*y + t^7.69*y + t^7.94*y + 2*t^8.25*y + t^8.38*y + 2*t^8.5*y + 4*t^8.63*y + 2*t^8.75*y + 5*t^8.88*y | g1^8*t^2.5 + 2*g1^4*t^2.75 + g1^2*t^2.88 + t^3. + (2*t^3.12)/g1^2 + g1^7*t^4.06 + g1^5*t^4.19 + g1^3*t^4.31 + g1*t^4.44 + (2*t^4.56)/g1 + t^4.69/g1^3 + t^4.81/g1^5 + t^4.94/g1^7 + g1^16*t^5.01 + t^5.06/g1^9 + 2*g1^12*t^5.25 + g1^10*t^5.38 + 3*g1^8*t^5.5 + 2*g1^6*t^5.63 + 2*g1^4*t^5.75 + 3*g1^2*t^5.88 - t^6. + t^6.25/g1^4 - (2*t^6.37)/g1^6 - t^6.5/g1^8 + g1^15*t^6.57 + g1^13*t^6.69 + 3*g1^11*t^6.82 + 3*g1^9*t^6.94 + 4*g1^7*t^7.06 + 4*g1^5*t^7.19 + 4*g1^3*t^7.31 + 3*g1*t^7.44 + g1^24*t^7.51 + (3*t^7.56)/g1 + (2*t^7.69)/g1^3 + 2*g1^20*t^7.76 + t^7.81/g1^5 + g1^18*t^7.88 + t^7.94/g1^7 + 3*g1^16*t^8.01 + 3*g1^14*t^8.13 + 5*g1^12*t^8.25 + 3*g1^10*t^8.38 + 2*g1^8*t^8.5 + 5*g1^6*t^8.63 - 3*g1^4*t^8.75 - g1^2*t^8.88 - (g1*t^4.44)/y - (g1^9*t^6.94)/y - (g1^5*t^7.19)/y - (g1^3*t^7.31)/y + t^7.56/(g1*y) + t^7.69/(g1^3*y) + t^7.94/(g1^7*y) + (2*g1^12*t^8.25)/y + (g1^10*t^8.38)/y + (2*g1^8*t^8.5)/y + (4*g1^6*t^8.63)/y + (2*g1^4*t^8.75)/y + (5*g1^2*t^8.88)/y - g1*t^4.44*y - g1^9*t^6.94*y - g1^5*t^7.19*y - g1^3*t^7.31*y + (t^7.56*y)/g1 + (t^7.69*y)/g1^3 + (t^7.94*y)/g1^7 + 2*g1^12*t^8.25*y + g1^10*t^8.38*y + 2*g1^8*t^8.5*y + 4*g1^6*t^8.63*y + 2*g1^4*t^8.75*y + 5*g1^2*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 55172 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_1^2$ + $ M_4M_5$ + $ M_2M_6$ | 0.6975 | 0.853 | 0.8178 | [X:[], M:[1.0, 0.8973, 0.9486, 1.0514, 0.9486, 1.1027], q:[0.5385, 0.4615], qb:[0.5642, 0.4872], phi:[0.4872]] | 2*t^2.85 + t^2.92 + t^3. + 2*t^3.08 + t^3.31 + t^4.23 + t^4.31 + t^4.38 + t^4.46 + 2*t^4.54 + t^4.62 + t^4.69 + t^4.77 + t^4.85 + 2*t^5.69 + 2*t^5.85 + 3*t^5.92 - t^6. - t^4.46/y - t^4.46*y | detail | |
| 55109 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_1^2$ + $ M_4M_5$ + $ M_6\phi_1^2$ | 0.7059 | 0.8679 | 0.8133 | [X:[], M:[1.0, 0.8511, 0.9256, 1.0744, 0.9256, 1.0372], q:[0.5558, 0.4442], qb:[0.5931, 0.4814], phi:[0.4814]] | t^2.55 + 2*t^2.78 + t^3. + 3*t^3.11 + t^4.11 + t^4.22 + t^4.33 + t^4.44 + 2*t^4.56 + t^4.67 + t^4.78 + t^4.89 + t^5. + t^5.11 + 2*t^5.33 + 3*t^5.55 + t^5.66 + t^5.78 + 4*t^5.89 - 3*t^6. - t^4.44/y - t^4.44*y | detail | |
| 55114 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_1^2$ + $ M_4M_5$ + $ \phi_1\tilde{q}_1^2$ + $ M_2X_1$ | 0.635 | 0.7878 | 0.8061 | [X:[1.4444], M:[1.0, 0.5556, 0.7778, 1.2222, 0.7778], q:[0.6667, 0.3333], qb:[0.7778, 0.4444], phi:[0.4444]] | 2*t^2.33 + t^2.67 + t^3. + 3*t^3.33 + t^3.67 + t^4. + 2*t^4.33 + 4*t^4.67 + t^5. + 3*t^5.33 + 6*t^5.67 + 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 823/1296, c: 1021/1296, X1: 13/9, M1: 1, M2: 5/9, M3: 7/9, M4: 11/9, M5: 7/9, q1: 2/3, q2: 1/3, qb1: 7/9, qb2: 4/9, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46674 | 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_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_1^2$ | 0.7027 | 0.862 | 0.8151 | [X:[], M:[1.0, 0.8673, 0.9336, 1.0664], q:[0.5498, 0.4502], qb:[0.583, 0.4834], phi:[0.4834]] | t^2.6 + t^2.8 + t^2.9 + t^3. + 2*t^3.1 + t^3.2 + t^4.15 + t^4.25 + t^4.35 + t^4.45 + 2*t^4.55 + t^4.65 + t^4.75 + t^4.85 + t^4.95 + t^5.2 + t^5.4 + t^5.5 + t^5.6 + t^5.7 + 2*t^5.8 + t^5.9 - t^4.45/y - t^4.45*y | detail |