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 |
|---|---|---|---|---|---|---|---|---|---|
| 853 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6006 | 0.7881 | 0.7621 | [X:[], M:[0.9263, 1.2212, 1.0737, 0.7788, 0.6844], q:[0.7316, 0.3422], qb:[0.3422, 0.4366], phi:[0.5369]] | [X:[], M:[[4], [-12], [-4], [12], [-10]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_1$, $ M_4$, $ q_2\tilde{q}_2$, $ M_3$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_5$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_5$, $ M_5\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_3M_4$, $ M_4\phi_1^2$, $ M_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_5\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1^3$, $ M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$, $ M_4\phi_1\tilde{q}_1^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1^2\tilde{q}_2$ | 1 | 2*t^2.05 + 2*t^2.34 + 3*t^3.22 + t^3.5 + 3*t^3.66 + t^3.95 + 3*t^4.11 + t^4.23 + 4*t^4.39 + 3*t^4.67 + 6*t^5.27 + 7*t^5.56 + 4*t^5.72 + 2*t^5.84 + t^6. + 4*t^6.16 + t^6.28 + 7*t^6.44 + 2*t^6.57 + 6*t^6.73 + 6*t^6.88 + 4*t^7.01 + 12*t^7.33 + 2*t^7.45 + 8*t^7.61 + t^7.73 + 5*t^7.77 + 9*t^7.89 - 3*t^8.05 + 4*t^8.18 + 5*t^8.21 - 4*t^8.34 + t^8.46 + 10*t^8.5 + t^8.62 + 10*t^8.78 + 3*t^8.9 + 7*t^8.94 - t^4.61/y - t^6.66/y + t^7.11/y + (5*t^7.39)/y + t^7.67/y - t^7.83/y + (6*t^8.27)/y + (9*t^8.56)/y + (5*t^8.72)/y + (2*t^8.84)/y - t^4.61*y - t^6.66*y + t^7.11*y + 5*t^7.39*y + t^7.67*y - t^7.83*y + 6*t^8.27*y + 9*t^8.56*y + 5*t^8.72*y + 2*t^8.84*y | (2*t^2.05)/g1^10 + 2*g1^12*t^2.34 + (3*t^3.22)/g1^4 + g1^18*t^3.5 + (3*t^3.66)/g1^12 + g1^10*t^3.95 + (3*t^4.11)/g1^20 + g1^32*t^4.23 + 4*g1^2*t^4.39 + 3*g1^24*t^4.67 + (6*t^5.27)/g1^14 + 7*g1^8*t^5.56 + (4*t^5.72)/g1^22 + 2*g1^30*t^5.84 + t^6. + (4*t^6.16)/g1^30 + g1^22*t^6.28 + (7*t^6.44)/g1^8 + 2*g1^44*t^6.57 + 6*g1^14*t^6.73 + (6*t^6.88)/g1^16 + 4*g1^36*t^7.01 + (12*t^7.33)/g1^24 + 2*g1^28*t^7.45 + (8*t^7.61)/g1^2 + g1^50*t^7.73 + (5*t^7.77)/g1^32 + 9*g1^20*t^7.89 - (3*t^8.05)/g1^10 + 4*g1^42*t^8.18 + (5*t^8.21)/g1^40 - 4*g1^12*t^8.34 + g1^64*t^8.46 + (10*t^8.5)/g1^18 + g1^34*t^8.62 + 10*g1^4*t^8.78 + 3*g1^56*t^8.9 + (7*t^8.94)/g1^26 - t^4.61/(g1^2*y) - t^6.66/(g1^12*y) + t^7.11/(g1^20*y) + (5*g1^2*t^7.39)/y + (g1^24*t^7.67)/y - t^7.83/(g1^6*y) + (6*t^8.27)/(g1^14*y) + (9*g1^8*t^8.56)/y + (5*t^8.72)/(g1^22*y) + (2*g1^30*t^8.84)/y - (t^4.61*y)/g1^2 - (t^6.66*y)/g1^12 + (t^7.11*y)/g1^20 + 5*g1^2*t^7.39*y + g1^24*t^7.67*y - (t^7.83*y)/g1^6 + (6*t^8.27*y)/g1^14 + 9*g1^8*t^8.56*y + (5*t^8.72*y)/g1^22 + 2*g1^30*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 1346 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6214 | 0.8287 | 0.7498 | [X:[], M:[0.9268, 1.2197, 1.0732, 0.7803, 0.6831, 0.6831], q:[0.7317, 0.3416], qb:[0.3416, 0.4387], phi:[0.5366]] | 3*t^2.05 + 2*t^2.34 + 3*t^3.22 + t^3.51 + 3*t^3.66 + 6*t^4.1 + t^4.24 + 6*t^4.39 + 3*t^4.68 + 9*t^5.27 + 8*t^5.56 + 7*t^5.71 + 2*t^5.85 - t^6. - t^4.61/y - t^4.61*y | detail | |
| 2033 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.616 | 0.8158 | 0.7551 | [X:[], M:[0.9324, 1.2027, 1.0676, 0.7973, 0.6689, 0.804], q:[0.7331, 0.3344], qb:[0.3344, 0.4629], phi:[0.5338]] | 2*t^2.01 + 2*t^2.39 + t^2.41 + 3*t^3.2 + 3*t^3.61 + t^3.99 + 3*t^4.01 + t^4.38 + 4*t^4.4 + 2*t^4.42 + 3*t^4.78 + 2*t^4.8 + t^4.82 + 6*t^5.21 + 5*t^5.59 + 7*t^5.61 + t^6. - t^4.6/y - t^4.6*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 |
|---|---|---|---|---|---|---|---|---|---|
| 543 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_2M_4$ | 0.5799 | 0.7477 | 0.7755 | [X:[], M:[0.9257, 1.223, 1.0743, 0.777], q:[0.7314, 0.3429], qb:[0.3429, 0.4341], phi:[0.5372]] | t^2.06 + 2*t^2.33 + 3*t^3.22 + t^3.5 + 3*t^3.67 + 2*t^3.94 + t^4.11 + t^4.22 + 2*t^4.39 + 3*t^4.66 + 3*t^5.28 + 6*t^5.55 + t^5.73 + 2*t^5.83 + t^6. - t^4.61/y - t^4.61*y | detail |