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 |
|---|---|---|---|---|---|---|---|---|---|
| 1416 | 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$ + $ 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]] | [X:[], M:[[6, 1], [-2, -1], [2, 1], [2, -1], [0, 0], [-5, 0], [2, 1]], 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_1$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_7$, $ M_5$, $ q_1\tilde{q}_2$, $ M_6^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_6$, $ \phi_1\tilde{q}_2^2$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_6\phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_1q_2$, $ M_3M_6$, $ M_6M_7$, $ \phi_1q_1^2$, $ M_1M_4$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_4^2$, $ M_1M_3$, $ M_1M_7$, $ M_4\phi_1^2$, $ M_6q_1\tilde{q}_2$, $ M_3M_4$, $ M_4M_7$, $ \phi_1^4$, $ M_3\phi_1^2$, $ M_7\phi_1^2$, $ M_5\phi_1^2$, $ M_3^2$, $ M_3M_7$, $ M_7^2$, $ M_3M_5$, $ M_5M_7$ | . | -3 | 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^6.08 - t^6.17 + t^6.23 + t^6.24 + 2*t^6.38 + t^6.61 + 2*t^6.76 + t^6.78 + t^6.84 + t^6.92 + 4*t^6.93 + t^6.99 + t^7.01 + t^7.07 + 2*t^7.08 + 2*t^7.09 + t^7.14 + t^7.15 + t^7.16 + 2*t^7.22 + t^7.24 + 4*t^7.3 + t^7.32 + t^7.36 + t^7.38 + 3*t^7.45 + 2*t^7.47 + t^7.53 + 2*t^7.6 + 4*t^7.62 + t^7.63 + 3*t^7.68 + t^7.69 + 5*t^7.76 + t^7.78 + 2*t^7.83 + t^7.84 + 2*t^7.85 + t^7.86 + t^7.91 + t^7.93 + 2*t^7.99 + t^8.01 - t^8.07 - 5*t^8.08 + 2*t^8.14 + t^8.15 - 2*t^8.24 + 2*t^8.29 + 4*t^8.31 + t^8.32 - t^8.45 + 2*t^8.46 + t^8.48 - t^8.54 + 2*t^8.6 - 4*t^8.62 + 2*t^8.69 + 2*t^8.75 - 3*t^8.77 - t^8.78 + t^8.83 + t^8.84 - t^8.85 + t^8.86 - 7*t^8.92 - t^8.93 + t^8.98 - t^4.38/y - t^6.46/y - t^6.84/y - t^7./y - t^7.15/y - t^7.3/y + t^7.47/y + t^7.53/y + t^7.62/y + t^7.7/y + t^7.76/y + t^7.85/y + t^7.93/y + (2*t^8.)/y + t^8.07/y + t^8.08/y + t^8.22/y + t^8.31/y + (2*t^8.37)/y + t^8.39/y + t^8.45/y + (2*t^8.54)/y + t^8.62/y + (2*t^8.69)/y + t^8.77/y + t^8.83/y + (2*t^8.92)/y - t^4.38*y - t^6.46*y - t^6.84*y - t^7.*y - t^7.15*y - t^7.3*y + t^7.47*y + t^7.53*y + t^7.62*y + t^7.7*y + t^7.76*y + t^7.85*y + t^7.93*y + 2*t^8.*y + t^8.07*y + t^8.08*y + t^8.22*y + t^8.31*y + 2*t^8.37*y + t^8.39*y + t^8.45*y + 2*t^8.54*y + t^8.62*y + 2*t^8.69*y + t^8.77*y + t^8.83*y + 2*t^8.92*y | t^2.08/g1^5 + g1^6*g2*t^2.45 + (g1^2*t^2.62)/g2 + g1^2*t^2.77 + 2*g1^2*g2*t^2.92 + t^3. + t^3.46/g1^4 + t^4.16/g1^10 + g1^3*g2*t^4.3 + g1*t^4.38 + t^4.47/(g1*g2) + g1*g2*t^4.53 + g1*g2^2*t^4.68 + t^4.7/(g1^3*g2) + (g2*t^4.76)/g1 + (3*t^4.85)/g1^3 + g1^12*g2^2*t^4.91 + t^4.93/(g1^5*g2) + (2*g2*t^5.)/g1^3 + t^5.01/(g1^7*g2^2) + g1^8*t^5.07 + t^5.08/g1^5 + g1^8*g2*t^5.22 + (g1^4*t^5.24)/g2^2 + 2*g1^8*g2^2*t^5.37 + (g1^4*t^5.39)/g2 + t^5.54/g1^9 + 2*g1^4*t^5.54 + 2*g1^4*g2*t^5.69 + g1^2*t^5.77 + 2*g1^4*g2^2*t^5.83 + g1^2*g2*t^5.92 - 3*t^6. - t^6.08/(g1^2*g2) - t^6.17/(g1^4*g2^2) + t^6.23/g1^2 + t^6.24/g1^15 + (2*g2*t^6.38)/g1^2 + (g2*t^6.61)/g1^4 + (g2^2*t^6.76)/g1^4 + g1^9*g2^2*t^6.76 + t^6.78/(g1^8*g2) + (g2*t^6.84)/g1^6 + g1^5*t^6.92 + (4*t^6.93)/g1^8 + g1^7*g2^2*t^6.99 + t^7.01/(g1^10*g2) + g1^5*g2*t^7.07 + (2*g2*t^7.08)/g1^8 + t^7.09/(g1^12*g2^2) + (g1*t^7.09)/g2^2 + g1^7*g2^3*t^7.14 + g1^3*t^7.15 + t^7.16/g1^10 + 2*g1^5*g2^2*t^7.22 + (g1*t^7.24)/g2 + 4*g1^3*g2*t^7.3 + t^7.32/(g1*g2^2) + g1^18*g2^3*t^7.36 + g1*t^7.38 + 3*g1^3*g2^2*t^7.45 + (2*t^7.47)/(g1*g2) + g1^14*g2*t^7.53 + 2*g1^3*g2^3*t^7.6 + t^7.62/g1^14 + (3*t^7.62)/g1 + t^7.63/(g1^5*g2^3) + 2*g1*g2^2*t^7.68 + g1^14*g2^2*t^7.68 + (g1^10*t^7.69)/g2 + (5*g2*t^7.76)/g1 + t^7.78/(g1^5*g2^2) + 2*g1^14*g2^3*t^7.83 + g1^10*t^7.84 + (2*t^7.85)/g1^3 + (g1^6*t^7.86)/g2^3 + (g2^2*t^7.91)/g1 + t^7.93/(g1^5*g2) + 2*g1^10*g2*t^7.99 + (g1^6*t^8.01)/g2^2 - g1^8*t^8.07 - (5*t^8.08)/g1^5 + 2*g1^10*g2^2*t^8.14 + (g2^2*t^8.15)/g1^3 - (2*t^8.16)/(g1^7*g2) + (2*g1^6*t^8.16)/g2 - (2*t^8.24)/(g1^9*g2^2) + 2*g1^10*g2^3*t^8.29 + (2*t^8.31)/g1^7 + 2*g1^6*t^8.31 + t^8.32/g1^20 - g1^6*g2*t^8.45 + (2*g2*t^8.46)/g1^7 + t^8.48/(g1^11*g2^2) - g1^4*t^8.54 + 2*g1^6*g2^2*t^8.6 - (4*g1^2*t^8.62)/g2 + (g2*t^8.69)/g1^9 + g1^4*g2*t^8.69 + 2*g1^6*g2^3*t^8.75 - 3*g1^2*t^8.77 - t^8.78/(g1^2*g2^3) + g1^4*g2^2*t^8.83 + (g2^2*t^8.84)/g1^9 - t^8.85/g2 + t^8.86/(g1^13*g2) + (g2*t^8.92)/g1^11 - 8*g1^2*g2*t^8.92 - t^8.93/(g1^2*g2^2) + g1^4*g2^3*t^8.98 - (g1*t^4.38)/y - t^6.46/(g1^4*y) - (g1^7*g2*t^6.84)/y - (g1^3*t^7.)/(g2*y) - (g1^3*t^7.15)/y - (g1^3*g2*t^7.3)/y + t^7.47/(g1*g2*y) + (g1*g2*t^7.53)/y + t^7.62/(g1*y) + t^7.7/(g1^3*g2*y) + (g2*t^7.76)/(g1*y) + t^7.85/(g1^3*y) + t^7.93/(g1^5*g2*y) + (2*g2*t^8.)/(g1^3*y) + (g1^8*t^8.07)/y + t^8.08/(g1^5*y) + (g1^8*g2*t^8.22)/y + (g1^6*t^8.31)/y + (2*g1^8*g2^2*t^8.37)/y + (g1^4*t^8.39)/(g2*y) + (g1^6*g2*t^8.45)/y + (2*g1^4*t^8.54)/y + (g1^2*t^8.62)/(g2*y) + (2*g1^4*g2*t^8.69)/y + (g1^2*t^8.77)/y + (g1^4*g2^2*t^8.83)/y + (2*g1^2*g2*t^8.92)/y - g1*t^4.38*y - (t^6.46*y)/g1^4 - g1^7*g2*t^6.84*y - (g1^3*t^7.*y)/g2 - g1^3*t^7.15*y - g1^3*g2*t^7.3*y + (t^7.47*y)/(g1*g2) + g1*g2*t^7.53*y + (t^7.62*y)/g1 + (t^7.7*y)/(g1^3*g2) + (g2*t^7.76*y)/g1 + (t^7.85*y)/g1^3 + (t^7.93*y)/(g1^5*g2) + (2*g2*t^8.*y)/g1^3 + g1^8*t^8.07*y + (t^8.08*y)/g1^5 + g1^8*g2*t^8.22*y + g1^6*t^8.31*y + 2*g1^8*g2^2*t^8.37*y + (g1^4*t^8.39*y)/g2 + g1^6*g2*t^8.45*y + 2*g1^4*t^8.54*y + (g1^2*t^8.62*y)/g2 + 2*g1^4*g2*t^8.69*y + g1^2*t^8.77*y + g1^4*g2^2*t^8.83*y + 2*g1^2*g2*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 2475 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.6078 | 0.7619 | 0.7977 | [X:[1.5891], M:[0.4109, 1.2328, 0.7672, 0.8766, 1.0, 0.9453, 0.7672], q:[0.9109, 0.6781], qb:[0.3219, 0.4453], phi:[0.4109]] | 2*t^2.3 + t^2.47 + t^2.63 + t^2.84 + t^3. + t^3.53 + t^3.9 + t^4.07 + 3*t^4.6 + 3*t^4.77 + 3*t^4.93 + t^5.1 + 2*t^5.14 + t^5.26 + 3*t^5.3 + t^5.47 + t^5.67 + 2*t^5.84 - t^6. - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.38/y - t^4.38*y | detail |