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 |
|---|---|---|---|---|---|---|---|---|---|
| 45873 | SU2adj1nf2 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ | 0.7418 | 0.8996 | 0.8246 | [X:[], M:[1.1769, 0.7854, 0.7854, 0.7854], q:[0.6073, 0.6073], qb:[0.6073, 0.5318], phi:[0.4116]] | [X:[], M:[[2, 2, 2, 2], [-4, -4, 0, 0], [-4, 0, -4, 0], [0, -4, -4, 0]], q:[[4, 0, 0, 0], [0, 4, 0, 0]], qb:[[0, 0, 4, 0], [0, 0, 0, 4]], phi:[[-1, -1, -1, -1]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_4$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_3^2$, $ M_4^2$, $ M_3M_4$, $ M_2M_4$, $ M_2M_3$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_1M_3$, $ M_1M_2$ | . | -10 | 3*t^2.36 + 3*t^3.42 + t^3.53 + t^4.43 + 3*t^4.65 + 6*t^4.71 + 6*t^4.88 + 6*t^5.77 + 3*t^5.89 - 10*t^6. - 3*t^6.23 + 3*t^6.78 + 6*t^6.83 + 3*t^6.95 + 6*t^7.01 + 10*t^7.07 + 9*t^7.23 - 3*t^7.46 + 3*t^7.84 + 6*t^8.07 + 9*t^8.13 + 6*t^8.24 + 9*t^8.3 - 24*t^8.36 - 3*t^8.52 - 6*t^8.58 + t^8.81 + t^8.85 - t^4.23/y - (3*t^6.59)/y + (3*t^7.71)/y + (3*t^7.88)/y + (9*t^8.77)/y + (3*t^8.89)/y - (6*t^8.95)/y - t^4.23*y - 3*t^6.59*y + 3*t^7.71*y + 3*t^7.88*y + 9*t^8.77*y + 3*t^8.89*y - 6*t^8.95*y | t^2.36/(g1^4*g2^4) + t^2.36/(g1^4*g3^4) + t^2.36/(g2^4*g3^4) + g1^4*g4^4*t^3.42 + g2^4*g4^4*t^3.42 + g3^4*g4^4*t^3.42 + g1^2*g2^2*g3^2*g4^2*t^3.53 + (g4^7*t^4.43)/(g1*g2*g3) + (g1^3*g4^3*t^4.65)/(g2*g3) + (g2^3*g4^3*t^4.65)/(g1*g3) + (g3^3*g4^3*t^4.65)/(g1*g2) + t^4.71/(g1^8*g2^8) + t^4.71/(g1^8*g3^8) + t^4.71/(g2^8*g3^8) + t^4.71/(g1^4*g2^4*g3^8) + t^4.71/(g1^4*g2^8*g3^4) + t^4.71/(g1^8*g2^4*g3^4) + (g1^7*t^4.88)/(g2*g3*g4) + (g1^3*g2^3*t^4.88)/(g3*g4) + (g2^7*t^4.88)/(g1*g3*g4) + (g1^3*g3^3*t^4.88)/(g2*g4) + (g2^3*g3^3*t^4.88)/(g1*g4) + (g3^7*t^4.88)/(g1*g2*g4) + (g4^4*t^5.77)/g1^4 + (g4^4*t^5.77)/g2^4 + (g4^4*t^5.77)/g3^4 + (g1^4*g4^4*t^5.77)/(g2^4*g3^4) + (g2^4*g4^4*t^5.77)/(g1^4*g3^4) + (g3^4*g4^4*t^5.77)/(g1^4*g2^4) + (g1^2*g4^2*t^5.89)/(g2^2*g3^2) + (g2^2*g4^2*t^5.89)/(g1^2*g3^2) + (g3^2*g4^2*t^5.89)/(g1^2*g2^2) - 4*t^6. - (g1^4*t^6.)/g2^4 - (g2^4*t^6.)/g1^4 - (g1^4*t^6.)/g3^4 - (g2^4*t^6.)/g3^4 - (g3^4*t^6.)/g1^4 - (g3^4*t^6.)/g2^4 - (g1^4*t^6.23)/g4^4 - (g2^4*t^6.23)/g4^4 - (g3^4*t^6.23)/g4^4 + (g4^7*t^6.78)/(g1*g2^5*g3^5) + (g4^7*t^6.78)/(g1^5*g2*g3^5) + (g4^7*t^6.78)/(g1^5*g2^5*g3) + g1^8*g4^8*t^6.83 + g1^4*g2^4*g4^8*t^6.83 + g2^8*g4^8*t^6.83 + g1^4*g3^4*g4^8*t^6.83 + g2^4*g3^4*g4^8*t^6.83 + g3^8*g4^8*t^6.83 + g1^6*g2^2*g3^2*g4^6*t^6.95 + g1^2*g2^6*g3^2*g4^6*t^6.95 + g1^2*g2^2*g3^6*g4^6*t^6.95 + (g1^3*g4^3*t^7.01)/(g2^5*g3^5) + (g4^3*t^7.01)/(g1*g2*g3^5) + (g2^3*g4^3*t^7.01)/(g1^5*g3^5) + (g4^3*t^7.01)/(g1*g2^5*g3) + (g4^3*t^7.01)/(g1^5*g2*g3) + (g3^3*g4^3*t^7.01)/(g1^5*g2^5) + t^7.07/(g1^12*g2^12) + t^7.07/(g1^12*g3^12) + t^7.07/(g2^12*g3^12) + t^7.07/(g1^4*g2^8*g3^12) + t^7.07/(g1^8*g2^4*g3^12) + t^7.07/(g1^4*g2^12*g3^8) + t^7.07/(g1^8*g2^8*g3^8) + t^7.07/(g1^12*g2^4*g3^8) + t^7.07/(g1^8*g2^12*g3^4) + t^7.07/(g1^12*g2^8*g3^4) + (g1^7*t^7.23)/(g2^5*g3^5*g4) + (g1^3*t^7.23)/(g2*g3^5*g4) + (g2^3*t^7.23)/(g1*g3^5*g4) + (g2^7*t^7.23)/(g1^5*g3^5*g4) + (g1^3*t^7.23)/(g2^5*g3*g4) + (g2^3*t^7.23)/(g1^5*g3*g4) + (g3^3*t^7.23)/(g1*g2^5*g4) + (g3^3*t^7.23)/(g1^5*g2*g4) + (g3^7*t^7.23)/(g1^5*g2^5*g4) - (g1^3*t^7.46)/(g2*g3*g4^5) - (g2^3*t^7.46)/(g1*g3*g4^5) - (g3^3*t^7.46)/(g1*g2*g4^5) + (g1^3*g4^11*t^7.84)/(g2*g3) + (g2^3*g4^11*t^7.84)/(g1*g3) + (g3^3*g4^11*t^7.84)/(g1*g2) + (g1^7*g4^7*t^8.07)/(g2*g3) + (g1^3*g2^3*g4^7*t^8.07)/g3 + (g2^7*g4^7*t^8.07)/(g1*g3) + (g1^3*g3^3*g4^7*t^8.07)/g2 + (g2^3*g3^3*g4^7*t^8.07)/g1 + (g3^7*g4^7*t^8.07)/(g1*g2) + (g4^4*t^8.13)/(g1^4*g2^8) + (g4^4*t^8.13)/(g1^8*g2^4) + (g4^4*t^8.13)/(g1^4*g3^8) + (g1^4*g4^4*t^8.13)/(g2^8*g3^8) + (g4^4*t^8.13)/(g2^4*g3^8) + (g2^4*g4^4*t^8.13)/(g1^8*g3^8) + (g4^4*t^8.13)/(g1^8*g3^4) + (g4^4*t^8.13)/(g2^8*g3^4) + (g3^4*g4^4*t^8.13)/(g1^8*g2^8) + (g1^2*g4^2*t^8.24)/(g2^6*g3^6) + (g4^2*t^8.24)/(g1^2*g2^2*g3^6) + (g2^2*g4^2*t^8.24)/(g1^6*g3^6) + (g4^2*t^8.24)/(g1^2*g2^6*g3^2) + (g4^2*t^8.24)/(g1^6*g2^2*g3^2) + (g3^2*g4^2*t^8.24)/(g1^6*g2^6) + (g1^11*g4^3*t^8.3)/(g2*g3) + (g1^7*g2^3*g4^3*t^8.3)/g3 + (g1^3*g2^7*g4^3*t^8.3)/g3 + (g2^11*g4^3*t^8.3)/(g1*g3) + (g1^7*g3^3*g4^3*t^8.3)/g2 + (g2^7*g3^3*g4^3*t^8.3)/g1 + (g1^3*g3^7*g4^3*t^8.3)/g2 + (g2^3*g3^7*g4^3*t^8.3)/g1 + (g3^11*g4^3*t^8.3)/(g1*g2) - t^8.36/g1^8 - t^8.36/g2^8 - (5*t^8.36)/(g1^4*g2^4) - t^8.36/g3^8 - (g1^4*t^8.36)/(g2^4*g3^8) - (g2^4*t^8.36)/(g1^4*g3^8) - (5*t^8.36)/(g1^4*g3^4) - (g1^4*t^8.36)/(g2^8*g3^4) - (5*t^8.36)/(g2^4*g3^4) - (g2^4*t^8.36)/(g1^8*g3^4) - (g3^4*t^8.36)/(g1^4*g2^8) - (g3^4*t^8.36)/(g1^8*g2^4) - (g1^7*g2^3*g3^3*t^8.52)/g4 - (g1^3*g2^7*g3^3*t^8.52)/g4 - (g1^3*g2^3*g3^7*t^8.52)/g4 - t^8.58/(g1^4*g4^4) - t^8.58/(g2^4*g4^4) - t^8.58/(g3^4*g4^4) - (g1^4*t^8.58)/(g2^4*g3^4*g4^4) - (g2^4*t^8.58)/(g1^4*g3^4*g4^4) - (g3^4*t^8.58)/(g1^4*g2^4*g4^4) + t^8.81/g4^8 + (g4^14*t^8.85)/(g1^2*g2^2*g3^2) - t^4.23/(g1*g2*g3*g4*y) - t^6.59/(g1*g2^5*g3^5*g4*y) - t^6.59/(g1^5*g2*g3^5*g4*y) - t^6.59/(g1^5*g2^5*g3*g4*y) + t^7.71/(g1^4*g2^4*g3^8*y) + t^7.71/(g1^4*g2^8*g3^4*y) + t^7.71/(g1^8*g2^4*g3^4*y) + (g1^3*g2^3*t^7.88)/(g3*g4*y) + (g1^3*g3^3*t^7.88)/(g2*g4*y) + (g2^3*g3^3*t^7.88)/(g1*g4*y) + (2*g4^4*t^8.77)/(g1^4*y) + (2*g4^4*t^8.77)/(g2^4*y) + (2*g4^4*t^8.77)/(g3^4*y) + (g1^4*g4^4*t^8.77)/(g2^4*g3^4*y) + (g2^4*g4^4*t^8.77)/(g1^4*g3^4*y) + (g3^4*g4^4*t^8.77)/(g1^4*g2^4*y) + (g1^2*g4^2*t^8.89)/(g2^2*g3^2*y) + (g2^2*g4^2*t^8.89)/(g1^2*g3^2*y) + (g3^2*g4^2*t^8.89)/(g1^2*g2^2*y) - t^8.95/(g1*g2^9*g3^9*g4*y) - t^8.95/(g1^5*g2^5*g3^9*g4*y) - t^8.95/(g1^9*g2*g3^9*g4*y) - t^8.95/(g1^5*g2^9*g3^5*g4*y) - t^8.95/(g1^9*g2^5*g3^5*g4*y) - t^8.95/(g1^9*g2^9*g3*g4*y) - (t^4.23*y)/(g1*g2*g3*g4) - (t^6.59*y)/(g1*g2^5*g3^5*g4) - (t^6.59*y)/(g1^5*g2*g3^5*g4) - (t^6.59*y)/(g1^5*g2^5*g3*g4) + (t^7.71*y)/(g1^4*g2^4*g3^8) + (t^7.71*y)/(g1^4*g2^8*g3^4) + (t^7.71*y)/(g1^8*g2^4*g3^4) + (g1^3*g2^3*t^7.88*y)/(g3*g4) + (g1^3*g3^3*t^7.88*y)/(g2*g4) + (g2^3*g3^3*t^7.88*y)/(g1*g4) + (2*g4^4*t^8.77*y)/g1^4 + (2*g4^4*t^8.77*y)/g2^4 + (2*g4^4*t^8.77*y)/g3^4 + (g1^4*g4^4*t^8.77*y)/(g2^4*g3^4) + (g2^4*g4^4*t^8.77*y)/(g1^4*g3^4) + (g3^4*g4^4*t^8.77*y)/(g1^4*g2^4) + (g1^2*g4^2*t^8.89*y)/(g2^2*g3^2) + (g2^2*g4^2*t^8.89*y)/(g1^2*g3^2) + (g3^2*g4^2*t^8.89*y)/(g1^2*g2^2) - (t^8.95*y)/(g1*g2^9*g3^9*g4) - (t^8.95*y)/(g1^5*g2^5*g3^9*g4) - (t^8.95*y)/(g1^9*g2*g3^9*g4) - (t^8.95*y)/(g1^5*g2^9*g3^5*g4) - (t^8.95*y)/(g1^9*g2^5*g3^5*g4) - (t^8.95*y)/(g1^9*g2^9*g3*g4) |
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 |
|---|---|---|---|---|---|---|---|---|
| 46030 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ | 0.6845 | 0.8095 | 0.8456 | [X:[], M:[1.2823, 0.8373, 0.8373, 0.8373], q:[0.5813, 0.5813], qb:[0.5813, 0.8206], phi:[0.3588]] | 3*t^2.51 + t^3.85 + 3*t^4.21 + 6*t^4.56 + 6*t^5.02 - 9*t^6. - t^4.08/y - t^4.08*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45863 | SU2adj1nf2 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ M_3q_1\tilde{q}_1$ | 0.7262 | 0.8734 | 0.8315 | [X:[], M:[1.1538, 0.8033, 0.8033], q:[0.6209, 0.5758], qb:[0.5758, 0.5351], phi:[0.4231]] | 2*t^2.41 + 2*t^3.33 + 2*t^3.46 + t^3.47 + t^4.48 + 2*t^4.6 + 3*t^4.72 + t^4.74 + 3*t^4.82 + 2*t^4.86 + t^4.99 + 3*t^5.74 + 2*t^5.87 - 6*t^6. - t^4.27/y - t^4.27*y | detail |