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 |
|---|---|---|---|---|---|---|---|---|---|
| 923 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.74 | 0.9227 | 0.802 | [X:[], M:[0.8456, 1.0, 1.0, 0.8456, 1.0, 0.693], q:[0.5772, 0.5772], qb:[0.4228, 0.5772], phi:[0.4614]] | [X:[], M:[[6, 1], [-2, -1], [2, 1], [2, -1], [0, 0], [-5, 0]], q:[[-4, -1], [-2, 0]], qb:[[2, 0], [0, 1]], phi:[[1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_3$, $ M_5$, $ M_2$, $ M_3$, $ q_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_1M_6$, $ M_6\phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_4^2$, $ M_1^2$, $ M_5M_6$, $ M_2M_6$, $ M_3M_6$, $ M_4\phi_1^2$, $ M_1\phi_1^2$, $ M_6q_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_2M_4$, $ M_1M_3$, $ M_5\phi_1^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$ | $M_2^2$, $ M_3^2$, $ M_2M_5$, $ M_3M_5$, $ M_4q_1\tilde{q}_2$ | -2 | t^2.08 + 2*t^2.54 + t^2.77 + 3*t^3. + t^3.46 + t^4.16 + 3*t^4.38 + 2*t^4.62 + 7*t^4.85 + 3*t^5.07 + 3*t^5.08 + 2*t^5.31 + 5*t^5.54 + 3*t^5.77 - 2*t^6. + t^6.23 + t^6.24 + 2*t^6.46 + 2*t^6.69 + 3*t^6.92 + 8*t^6.93 + 5*t^7.15 + 3*t^7.16 + 11*t^7.38 + 4*t^7.61 + 8*t^7.62 + 3*t^7.84 + 12*t^7.85 + 5*t^8.07 - 8*t^8.08 + 8*t^8.31 + t^8.32 - 3*t^8.54 - t^4.38/y - t^6.46/y - (2*t^6.92)/y - t^7.15/y + (3*t^7.62)/y + (3*t^7.85)/y + t^8.07/y + (3*t^8.08)/y + (3*t^8.31)/y + (6*t^8.54)/y + (3*t^8.77)/y - t^4.38*y - t^6.46*y - 2*t^6.92*y - t^7.15*y + 3*t^7.62*y + 3*t^7.85*y + t^8.07*y + 3*t^8.08*y + 3*t^8.31*y + 6*t^8.54*y + 3*t^8.77*y | t^2.08/g1^5 + (g1^2*t^2.54)/g2 + g1^6*g2*t^2.54 + g1^2*t^2.77 + t^3. + t^3./(g1^2*g2) + g1^2*g2*t^3. + t^3.46/g1^4 + t^4.16/g1^10 + g1*t^4.38 + t^4.38/(g1*g2) + g1^3*g2*t^4.38 + t^4.62/(g1^3*g2) + g1*g2*t^4.62 + (3*t^4.85)/g1^3 + t^4.85/(g1^7*g2^2) + t^4.85/(g1^5*g2) + (g2*t^4.85)/g1 + g1*g2^2*t^4.85 + g1^8*t^5.07 + (g1^4*t^5.07)/g2^2 + g1^12*g2^2*t^5.07 + t^5.08/g1^5 + t^5.08/(g1^7*g2) + (g2*t^5.08)/g1^3 + (g1^4*t^5.31)/g2 + g1^8*g2*t^5.31 + t^5.54/g1^9 + 2*g1^4*t^5.54 + t^5.54/g2^2 + g1^8*g2^2*t^5.54 + g1^2*t^5.77 + t^5.77/g2 + g1^4*g2*t^5.77 - 2*t^6. + t^6.23/g1^2 + t^6.24/g1^15 + t^6.46/(g1^6*g2) + (g2*t^6.46)/g1^2 + t^6.69/(g1^8*g2) + (g2*t^6.69)/g1^4 + g1^5*t^6.92 + (g1*t^6.92)/g2^2 + g1^9*g2^2*t^6.92 + (4*t^6.93)/g1^8 + t^6.93/(g1^12*g2^2) + t^6.93/(g1^10*g2) + (g2*t^6.93)/g1^6 + (g2^2*t^6.93)/g1^4 + g1^3*t^7.15 + t^7.15/(g1*g2^2) + (g1*t^7.15)/g2 + g1^5*g2*t^7.15 + g1^7*g2^2*t^7.15 + t^7.16/g1^10 + t^7.16/(g1^12*g2) + (g2*t^7.16)/g1^8 + g1*t^7.38 + t^7.38/(g1^5*g2^3) + t^7.38/(g1^3*g2^2) + (3*t^7.38)/(g1*g2) + 3*g1^3*g2*t^7.38 + g1^5*g2^2*t^7.38 + g1^7*g2^3*t^7.38 + (g1^6*t^7.61)/g2^3 + (g1^10*t^7.61)/g2 + g1^14*g2*t^7.61 + g1^18*g2^3*t^7.61 + t^7.62/g1^14 + (3*t^7.62)/g1 + (2*t^7.62)/(g1^5*g2^2) + 2*g1^3*g2^2*t^7.62 + g1^10*t^7.84 + (g1^6*t^7.84)/g2^2 + g1^14*g2^2*t^7.84 + (2*t^7.85)/g1^3 + t^7.85/(g1^9*g2^3) + t^7.85/(g1^7*g2^2) + (3*t^7.85)/(g1^5*g2) + (3*g2*t^7.85)/g1 + g1*g2^2*t^7.85 + g1^3*g2^3*t^7.85 - g1^8*t^8.07 + (g1^2*t^8.07)/g2^3 + (2*g1^6*t^8.07)/g2 + 2*g1^10*g2*t^8.07 + g1^14*g2^3*t^8.07 - (4*t^8.08)/g1^5 - t^8.08/(g1^9*g2^2) - t^8.08/(g1^7*g2) - (g2*t^8.08)/g1^3 - (g2^2*t^8.08)/g1 + (2*t^8.31)/g1^7 + 2*g1^6*t^8.31 + t^8.31/(g1^11*g2^2) + (g1^2*t^8.31)/g2^2 + (g2^2*t^8.31)/g1^3 + g1^10*g2^2*t^8.31 + t^8.32/g1^20 - g1^4*t^8.54 + t^8.54/(g1^11*g2) - (2*g1^2*t^8.54)/g2 + (g2*t^8.54)/g1^7 - 2*g1^6*g2*t^8.54 - 2*g1^2*t^8.77 + t^8.77/(g1^13*g2) + (g2*t^8.77)/g1^9 - (g1*t^4.38)/y - t^6.46/(g1^4*y) - (g1^3*t^6.92)/(g2*y) - (g1^7*g2*t^6.92)/y - (g1^3*t^7.15)/y + t^7.62/(g1*y) + t^7.62/(g1^3*g2*y) + (g1*g2*t^7.62)/y + t^7.85/(g1^3*y) + t^7.85/(g1^5*g2*y) + (g2*t^7.85)/(g1*y) + (g1^8*t^8.07)/y + t^8.08/(g1^5*y) + t^8.08/(g1^7*g2*y) + (g2*t^8.08)/(g1^3*y) + (g1^6*t^8.31)/y + (g1^4*t^8.31)/(g2*y) + (g1^8*g2*t^8.31)/y + (2*g1^4*t^8.54)/y + t^8.54/(g2^2*y) + (g1^2*t^8.54)/(g2*y) + (g1^6*g2*t^8.54)/y + (g1^8*g2^2*t^8.54)/y + (g1^2*t^8.77)/y + t^8.77/(g2*y) + (g1^4*g2*t^8.77)/y - g1*t^4.38*y - (t^6.46*y)/g1^4 - (g1^3*t^6.92*y)/g2 - g1^7*g2*t^6.92*y - g1^3*t^7.15*y + (t^7.62*y)/g1 + (t^7.62*y)/(g1^3*g2) + g1*g2*t^7.62*y + (t^7.85*y)/g1^3 + (t^7.85*y)/(g1^5*g2) + (g2*t^7.85*y)/g1 + g1^8*t^8.07*y + (t^8.08*y)/g1^5 + (t^8.08*y)/(g1^7*g2) + (g2*t^8.08*y)/g1^3 + g1^6*t^8.31*y + (g1^4*t^8.31*y)/g2 + g1^8*g2*t^8.31*y + 2*g1^4*t^8.54*y + (t^8.54*y)/g2^2 + (g1^2*t^8.54*y)/g2 + g1^6*g2*t^8.54*y + g1^8*g2^2*t^8.54*y + g1^2*t^8.77*y + (t^8.77*y)/g2 + g1^4*g2*t^8.77*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 |
|---|---|---|---|---|---|---|---|---|
| 1416 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2M_7$ | 0.7413 | 0.9257 | 0.8008 | [X:[], M:[0.818, 1.0276, 0.9724, 0.8732, 1.0, 0.693, 0.9724], q:[0.6048, 0.5772], qb:[0.4228, 0.5496], phi:[0.4614]] | t^2.08 + t^2.45 + t^2.62 + t^2.77 + 2*t^2.92 + t^3. + t^3.46 + t^4.16 + t^4.3 + t^4.38 + t^4.47 + t^4.53 + t^4.68 + t^4.7 + t^4.76 + 3*t^4.85 + t^4.91 + t^4.93 + 2*t^5. + t^5.01 + t^5.07 + t^5.08 + t^5.22 + t^5.24 + 2*t^5.37 + t^5.39 + 3*t^5.54 + 2*t^5.69 + t^5.77 + 2*t^5.83 + t^5.92 - 3*t^6. - t^4.38/y - t^4.38*y | detail | |
| 1415 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.733 | 0.9136 | 0.8024 | [X:[], M:[0.7778, 1.0, 1.0, 0.7778, 1.0, 0.7778], q:[0.6111, 0.6111], qb:[0.3889, 0.6111], phi:[0.4444]] | 3*t^2.33 + t^2.67 + 3*t^3. + t^3.67 + 3*t^4.33 + 6*t^4.67 + 9*t^5. + 7*t^5.33 + 3*t^5.67 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 475/648, c: 74/81, M1: 7/9, M2: 1, M3: 1, M4: 7/9, M5: 1, M6: 7/9, q1: 11/18, q2: 11/18, qb1: 7/18, qb2: 11/18, phi1: 4/9} |
| 1418 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ | 0.7543 | 0.9473 | 0.7962 | [X:[], M:[0.8235, 1.0, 1.0, 0.8235, 1.0, 0.7207, 0.8235], q:[0.5883, 0.5883], qb:[0.4117, 0.5883], phi:[0.4559]] | t^2.16 + 3*t^2.47 + t^2.74 + 3*t^3. + t^4.32 + 3*t^4.37 + 3*t^4.63 + 7*t^4.9 + 6*t^4.94 + 3*t^5.16 + 3*t^5.21 + 7*t^5.47 + 3*t^5.74 - 4*t^6. - t^4.37/y - t^4.37*y | detail | |
| 2085 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.5896 | 0.7288 | 0.809 | [X:[1.5909], M:[0.4091, 1.2272, 0.7728, 0.8634, 1.0, 0.9547], q:[0.9091, 0.6819], qb:[0.3181, 0.4547], phi:[0.4091]] | t^2.32 + t^2.45 + t^2.59 + t^2.86 + t^3. + t^3.55 + t^3.68 + t^3.96 + t^4.09 + t^4.64 + 2*t^4.77 + 2*t^4.91 + t^5.04 + 2*t^5.18 + 2*t^5.32 + t^5.45 + t^5.73 + t^5.86 - t^4.23/y - t^4.23*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 |
|---|---|---|---|---|---|---|---|---|---|
| 590 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ | 0.7194 | 0.8833 | 0.8145 | [X:[], M:[0.8377, 1.0, 1.0, 0.8377, 1.0], q:[0.5812, 0.5812], qb:[0.4188, 0.5812], phi:[0.4594]] | 2*t^2.51 + t^2.76 + 3*t^3. + t^3.49 + t^3.89 + 3*t^4.38 + 6*t^4.87 + 3*t^5.03 + 2*t^5.27 + 4*t^5.51 + 3*t^5.76 - 2*t^6. - t^4.38/y - t^4.38*y | detail |