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 |
|---|---|---|---|---|---|---|---|---|---|
| 43 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ | 0.6076 | 0.7195 | 0.8446 | [X:[], M:[], q:[0.8211, 0.8211], qb:[0.4632, 0.4632], phi:[0.3578]] | [X:[], M:[], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1^4$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | $\phi_1^3\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$ | -2 | t^2.15 + t^2.78 + 7*t^3.85 + t^4.29 + 2*t^4.93 + t^5.56 - 2*t^6. + t^6.44 + 7*t^6.63 - 6*t^7.07 + 21*t^7.71 - t^8.15 + t^8.34 + t^8.59 - 3*t^8.78 - t^4.07/y - t^6.22/y + (2*t^7.93)/y - t^8.37/y - t^4.07*y - t^6.22*y + 2*t^7.93*y - t^8.37*y | t^2.15/(g1^4*g2^4) + g1^6*g2^6*t^2.78 + (g1^10*t^3.85)/g2^2 + 2*g1^7*g2*t^3.85 + g1^4*g2^4*t^3.85 + 2*g1*g2^7*t^3.85 + (g2^10*t^3.85)/g1^2 + t^4.29/(g1^8*g2^8) + 2*g1^2*g2^2*t^4.93 + g1^12*g2^12*t^5.56 - 2*t^6. + t^6.44/(g1^12*g2^12) + g1^16*g2^4*t^6.63 + 2*g1^13*g2^7*t^6.63 + g1^10*g2^10*t^6.63 + 2*g1^7*g2^13*t^6.63 + g1^4*g2^16*t^6.63 - (g1^4*t^7.07)/g2^8 - (2*g1*t^7.07)/g2^5 - (2*g2*t^7.07)/g1^5 - (g2^4*t^7.07)/g1^8 + (g1^20*t^7.71)/g2^4 + (2*g1^17*t^7.71)/g2 + 3*g1^14*g2^2*t^7.71 + 2*g1^11*g2^5*t^7.71 + 5*g1^8*g2^8*t^7.71 + 2*g1^5*g2^11*t^7.71 + 3*g1^2*g2^14*t^7.71 + (2*g2^17*t^7.71)/g1 + (g2^20*t^7.71)/g1^4 - t^8.15/(g1^4*g2^4) + g1^18*g2^18*t^8.34 + t^8.59/(g1^16*g2^16) - 3*g1^6*g2^6*t^8.78 - t^4.07/(g1^2*g2^2*y) - t^6.22/(g1^6*g2^6*y) + (2*g1^2*g2^2*t^7.93)/y - t^8.37/(g1^10*g2^10*y) - (t^4.07*y)/(g1^2*g2^2) - (t^6.22*y)/(g1^6*g2^6) + 2*g1^2*g2^2*t^7.93*y - (t^8.37*y)/(g1^10*g2^10) |
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 |
|---|---|---|---|---|---|---|---|---|
| 57 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6279 | 0.7568 | 0.8297 | [X:[], M:[0.7082], q:[0.823, 0.823], qb:[0.4689, 0.4689], phi:[0.3541]] | 2*t^2.12 + t^2.81 + 6*t^3.88 + 3*t^4.25 + 3*t^4.94 + t^5.63 + 3*t^6. - t^4.06/y - t^4.06*y | detail | |
| 63 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.6281 | 0.7582 | 0.8284 | [X:[], M:[0.6941], q:[0.8224, 0.8224], qb:[0.4753, 0.4589], phi:[0.3553]] | t^2.08 + t^2.13 + t^2.8 + t^3.82 + 2*t^3.84 + t^3.87 + 2*t^3.89 + t^4.16 + t^4.21 + t^4.26 + t^4.88 + 2*t^4.93 + t^5.61 + t^5.9 + 2*t^5.93 + t^5.95 + 2*t^5.98 - 2*t^6. - t^4.07/y - t^4.07*y | detail | |
| 59 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1^2$ | 0.5876 | 0.6839 | 0.8592 | [X:[], M:[1.274], q:[0.8185, 0.8185], qb:[0.4555, 0.4555], phi:[0.363]] | t^2.73 + 8*t^3.82 + t^4.91 + t^5.47 - 9*t^6. - t^4.09/y - t^4.09*y | detail | |
| 60 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ | 0.628 | 0.7573 | 0.8293 | [X:[], M:[0.7035], q:[0.8228, 0.8228], qb:[0.4737, 0.4628], phi:[0.3545]] | t^2.11 + t^2.13 + t^2.81 + t^3.84 + 2*t^3.86 + t^3.87 + t^3.89 + t^3.91 + t^4.22 + t^4.24 + t^4.25 + t^4.92 + 2*t^4.94 + t^5.62 + t^5.95 + 2*t^5.97 + t^5.98 - t^6. - t^4.06/y - t^4.06*y | detail | |
| 66 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ \phi_1\tilde{q}_1^2$ + $ \phi_1^2X_1$ | 0.4527 | 0.4986 | 0.9078 | [X:[1.5042], M:[], q:[0.8761, 0.8761], qb:[0.8761, 0.3803], phi:[0.2479]] | t^3.03 + 3*t^3.77 + t^4.51 - 4*t^6. - t^3.74/y - t^3.74*y | detail | |
| 62 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ q_1\tilde{q}_1$ + $ \phi_1^2X_1$ | 0.3451 | 0.3488 | 0.9895 | [X:[1.6976], M:[], q:[0.9244, 0.9244], qb:[1.0756, 0.4708], phi:[0.1512]] | t^3.28 + t^4.19 - t^6. - t^3.45/y - t^3.45*y | detail | |
| 56 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ \tilde{q}_1^2\tilde{q}_2^2$ + $ \phi_1^2X_1$ | 0.5833 | 0.6667 | 0.875 | [X:[1.3333], M:[], q:[0.8333, 0.8333], qb:[0.5, 0.5], phi:[0.3333]] | t^3. + 8*t^4. + t^5. - 8*t^6. - t^4./y - t^4.*y | detail | {a: 7/12, c: 2/3, X1: 4/3, q1: 5/6, q2: 5/6, qb1: 1/2, qb2: 1/2, phi1: 1/3} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55667 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ q_2q_3$ + $ q_3\tilde{q}_1$ | 0.6076 | 0.7195 | 0.8446 | [X:[], M:[], q:[0.8211, 0.8211, 1.1789], qb:[0.8211, 0.4632, 0.4632], phi:[0.3578]] | t^2.15 + t^2.78 + 7*t^3.85 + t^4.29 + 2*t^4.93 + t^5.56 - 2*t^6. - t^4.07/y - t^4.07*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 37 | SU2adj1nf2 | $\phi_1q_1^2$ | 0.6732 | 0.8001 | 0.8414 | [X:[], M:[], q:[0.7969, 0.5261], qb:[0.5261, 0.5261], phi:[0.4062]] | t^2.44 + 3*t^3.16 + 3*t^3.97 + 6*t^4.38 + t^4.87 + 3*t^5.59 - 9*t^6. - t^4.22/y - t^4.22*y | detail |