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 |
|---|---|---|---|---|---|---|---|---|---|
| 55052 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6556 | 0.8224 | 0.7972 | [X:[1.5546], M:[0.4454, 1.1849, 0.7773, 0.8909, 0.7394, 0.7773], q:[0.7962, 0.7583], qb:[0.4644, 0.3508], phi:[0.4076]] | [X:[[12]], M:[[-12], [4], [6], [-24], [16], [6]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ M_6$, $ \phi_1^2$, $ M_4$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ M_3M_5$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_4M_5$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ M_5q_2\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_2M_5$, $ \phi_1q_2^2$, $ M_3q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ M_2M_6$, $ \phi_1q_1q_2$, $ \phi_1^2q_1\tilde{q}_2$ | . | -2 | t^2.22 + 2*t^2.33 + t^2.45 + t^2.67 + t^3.33 + t^3.44 + t^3.55 + t^4.01 + t^4.44 + 3*t^4.55 + 5*t^4.66 + t^4.78 + 3*t^4.89 + 2*t^5. + t^5.35 + t^5.55 + 2*t^5.66 + 5*t^5.77 + 2*t^5.89 - 2*t^6. + t^6.23 + t^6.45 + 2*t^6.65 + t^6.68 + 4*t^6.77 + 6*t^6.88 + 7*t^7. + 3*t^7.11 + 2*t^7.22 + 4*t^7.34 + t^7.56 + 2*t^7.68 + t^7.76 + 3*t^7.88 + 7*t^7.99 + 2*t^8.02 + 7*t^8.1 + t^8.22 - 6*t^8.33 - t^8.45 - t^8.56 - 3*t^8.67 + 2*t^8.87 + 3*t^8.9 + 5*t^8.99 - t^4.22/y - t^6.44/y - (2*t^6.55)/y - t^6.9/y + (3*t^7.55)/y + (2*t^7.66)/y + (2*t^7.78)/y + (3*t^7.89)/y + (3*t^8.)/y + t^8.12/y + t^8.55/y + (2*t^8.66)/y + (2*t^8.77)/y - t^4.22*y - t^6.44*y - 2*t^6.55*y - t^6.9*y + 3*t^7.55*y + 2*t^7.66*y + 2*t^7.78*y + 3*t^7.89*y + 3*t^8.*y + t^8.12*y + t^8.55*y + 2*t^8.66*y + 2*t^8.77*y | g1^16*t^2.22 + 2*g1^6*t^2.33 + t^2.45/g1^4 + t^2.67/g1^24 + g1^24*t^3.33 + g1^14*t^3.44 + g1^4*t^3.55 + t^4.01/g1^36 + g1^32*t^4.44 + 3*g1^22*t^4.55 + 5*g1^12*t^4.66 + g1^2*t^4.78 + (3*t^4.89)/g1^8 + (2*t^5.)/g1^18 + t^5.35/g1^48 + g1^40*t^5.55 + 2*g1^30*t^5.66 + 5*g1^20*t^5.77 + 2*g1^10*t^5.89 - 2*t^6. + t^6.23/g1^20 + t^6.45/g1^40 + 2*g1^48*t^6.65 + t^6.68/g1^60 + 4*g1^38*t^6.77 + 6*g1^28*t^6.88 + 7*g1^18*t^7. + 3*g1^8*t^7.11 + (2*t^7.22)/g1^2 + (4*t^7.34)/g1^12 + t^7.56/g1^32 + (2*t^7.68)/g1^42 + g1^56*t^7.76 + 3*g1^46*t^7.88 + 7*g1^36*t^7.99 + (2*t^8.02)/g1^72 + 7*g1^26*t^8.1 + g1^16*t^8.22 - 6*g1^6*t^8.33 - t^8.45/g1^4 - t^8.56/g1^14 - (3*t^8.67)/g1^24 + 2*g1^64*t^8.87 + (3*t^8.9)/g1^44 + 5*g1^54*t^8.99 - t^4.22/(g1^2*y) - (g1^14*t^6.44)/y - (2*g1^4*t^6.55)/y - t^6.9/(g1^26*y) + (3*g1^22*t^7.55)/y + (2*g1^12*t^7.66)/y + (2*g1^2*t^7.78)/y + (3*t^7.89)/(g1^8*y) + (3*t^8.)/(g1^18*y) + t^8.12/(g1^28*y) + (g1^40*t^8.55)/y + (2*g1^30*t^8.66)/y + (2*g1^20*t^8.77)/y - (t^4.22*y)/g1^2 - g1^14*t^6.44*y - 2*g1^4*t^6.55*y - (t^6.9*y)/g1^26 + 3*g1^22*t^7.55*y + 2*g1^12*t^7.66*y + 2*g1^2*t^7.78*y + (3*t^7.89*y)/g1^8 + (3*t^8.*y)/g1^18 + (t^8.12*y)/g1^28 + g1^40*t^8.55*y + 2*g1^30*t^8.66*y + 2*g1^20*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 |
|---|---|---|---|---|---|---|---|---|
| 56662 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5^2$ + $ M_4X_2$ | 0.4642 | 0.5814 | 0.7984 | [X:[1.75, 1.5], M:[0.25, 1.25, 0.875, 0.5, 1.0, 0.875], q:[0.8125, 0.9375], qb:[0.1875, 0.5625], phi:[0.375]] | 2*t^2.25 + 2*t^2.62 + t^3. + t^4.12 + 6*t^4.5 + t^4.88 + 5*t^5.25 + 2*t^5.62 - 5*t^6. - t^4.12/y - t^4.12*y | detail | {a: 7605/16384, c: 9525/16384, X1: 7/4, X2: 3/2, M1: 1/4, M2: 5/4, M3: 7/8, M4: 1/2, M5: 1, M6: 7/8, q1: 13/16, q2: 15/16, qb1: 3/16, qb2: 9/16, phi1: 3/8} |
| 56700 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_2\tilde{q}_2$ | 0.6669 | 0.8411 | 0.793 | [X:[1.572], M:[0.428, 1.1907, 0.786, 0.856, 0.7627, 0.786, 0.856], q:[0.7977, 0.7743], qb:[0.4397, 0.3697], phi:[0.4047]] | t^2.29 + 2*t^2.36 + t^2.43 + 2*t^2.57 + t^3.5 + t^3.57 + t^3.85 + t^4.58 + 3*t^4.65 + 5*t^4.72 + t^4.79 + 4*t^4.86 + 4*t^4.93 + t^5. + 3*t^5.14 + 4*t^5.86 + 2*t^5.93 - 3*t^6. - t^4.21/y - t^4.21*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46862 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_1$ | 0.6379 | 0.7905 | 0.8069 | [X:[1.5576], M:[0.4424, 1.1859, 0.7788, 0.8848, 0.7434], q:[0.7965, 0.7611], qb:[0.4601, 0.354], phi:[0.4071]] | t^2.23 + t^2.34 + t^2.44 + t^2.65 + t^3.35 + t^3.45 + t^3.56 + t^3.66 + t^3.98 + t^4.46 + 2*t^4.57 + 3*t^4.67 + 3*t^4.88 + t^4.99 + t^5.31 + t^5.58 + t^5.68 + 4*t^5.79 + 2*t^5.89 - t^6. - t^4.22/y - t^4.22*y | detail |