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 |
|---|---|---|---|---|---|---|---|---|---|
| 47872 | SU3adj1nf2 | $\phi_1^2q_1\tilde{q}_1$ + $ \phi_1^2X_1$ | 1.33 | 1.4939 | 0.8903 | [X:[1.3964], M:[], q:[0.6982, 0.3964], qb:[0.6982, 0.3964], phi:[0.3018]] | [X:[[0, 0, 2]], M:[], q:[[-1, 0, 2], [0, -1, 4]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_2$, $ \phi_1^3$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ X_1$, $ \phi_1q_2\tilde{q}_1$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^3q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1q_2^2$, $ \phi_1^6$, $ q_1q_2\tilde{q}_2^2$, $ \phi_1q_2^2\tilde{q}_2^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$ | $\phi_1^4q_2\tilde{q}_2$ | -2 | t^2.38 + t^2.72 + 3*t^3.28 + 5*t^4.19 + t^4.76 + 2*t^5.09 + 2*t^5.38 + t^5.43 + 3*t^5.66 - 2*t^6. + 6*t^6.28 + 11*t^6.57 - 2*t^6.91 + t^7.13 + 16*t^7.47 + 2*t^7.76 - t^7.81 + 3*t^8.04 - 6*t^8.09 + t^8.15 + 12*t^8.38 + 12*t^8.66 + 11*t^8.95 + t^8.72/y^2 - t^3.91/y - t^4.81/y - t^6.28/y - t^6.62/y - (3*t^7.19)/y - t^7.53/y - (3*t^8.09)/y + (2*t^8.66)/y - t^3.91*y - t^4.81*y - t^6.28*y - t^6.62*y - 3*t^7.19*y - t^7.53*y - 3*t^8.09*y + 2*t^8.66*y + t^8.72*y^2 | g3^4*t^2.38 + t^2.72/g3^3 + (g2*g3^2*t^3.28)/g1 + g3^3*t^3.28 + (g1*g3^4*t^3.28)/g2 + (g2*g3*t^4.19)/g1 + 3*g3^2*t^4.19 + (g1*g3^3*t^4.19)/g2 + g3^8*t^4.76 + 2*g3*t^5.09 + (g1*g2^2*t^5.38)/g3 + (g3^9*t^5.38)/(g1*g2^2) + t^5.43/g3^6 + (g2*g3^6*t^5.66)/g1 + g3^7*t^5.66 + (g1*g3^8*t^5.66)/g2 - 2*t^6. + (g2^3*t^6.28)/g3^3 + (g1*g2^2*t^6.28)/g3^2 + (g1^2*g2*t^6.28)/g3 + (g3^7*t^6.28)/(g1^2*g2) + (g3^8*t^6.28)/(g1*g2^2) + (g3^9*t^6.28)/g2^3 + (g2^2*g3^4*t^6.57)/g1^2 + (2*g2*g3^5*t^6.57)/g1 + 5*g3^6*t^6.57 + (2*g1*g3^7*t^6.57)/g2 + (g1^2*g3^8*t^6.57)/g2^2 - (g1*t^6.91)/g2 - (g2*t^6.91)/(g1*g3^2) + g3^12*t^7.13 + (g2^2*g3^3*t^7.47)/g1^2 + (4*g2*g3^4*t^7.47)/g1 + 6*g3^5*t^7.47 + (4*g1*g3^6*t^7.47)/g2 + (g1^2*g3^7*t^7.47)/g2^2 + g1*g2^2*g3^3*t^7.76 + (g3^13*t^7.76)/(g1*g2^2) - (g2*t^7.81)/(g1*g3^3) + t^7.81/g3^2 - (g1*t^7.81)/(g2*g3) + (g2*g3^10*t^8.04)/g1 + g3^11*t^8.04 + (g1*g3^12*t^8.04)/g2 - (g2^3*t^8.09)/g3^5 - (g1*g2^2*t^8.09)/g3^4 - (g1^2*g2*t^8.09)/g3^3 - (g3^5*t^8.09)/(g1^2*g2) - (g3^6*t^8.09)/(g1*g2^2) - (g3^7*t^8.09)/g2^3 + t^8.15/g3^9 + (g2^2*g3^2*t^8.38)/g1^2 + (3*g2*g3^3*t^8.38)/g1 + 4*g3^4*t^8.38 + (3*g1*g3^5*t^8.38)/g2 + (g1^2*g3^6*t^8.38)/g2^2 + 2*g2^3*g3*t^8.66 + 2*g1*g2^2*g3^2*t^8.66 + 2*g1^2*g2*g3^3*t^8.66 + (2*g3^11*t^8.66)/(g1^2*g2) + (2*g3^12*t^8.66)/(g1*g2^2) + (2*g3^13*t^8.66)/g2^3 + (g2^2*g3^8*t^8.95)/g1^2 + (2*g2*g3^9*t^8.95)/g1 + 5*g3^10*t^8.95 + (2*g1*g3^11*t^8.95)/g2 + (g1^2*g3^12*t^8.95)/g2^2 + t^8.72/(g3^3*y^2) - t^3.91/(g3*y) - t^4.81/(g3^2*y) - (g3^3*t^6.28)/y - t^6.62/(g3^4*y) - (g2*g3*t^7.19)/(g1*y) - (g3^2*t^7.19)/y - (g1*g3^3*t^7.19)/(g2*y) - t^7.53/(g3^5*y) - (g2*t^8.09)/(g1*y) - (g3*t^8.09)/y - (g1*g3^2*t^8.09)/(g2*y) + (g2*g3^6*t^8.66)/(g1*y) + (g1*g3^8*t^8.66)/(g2*y) - (t^3.91*y)/g3 - (t^4.81*y)/g3^2 - g3^3*t^6.28*y - (t^6.62*y)/g3^4 - (g2*g3*t^7.19*y)/g1 - g3^2*t^7.19*y - (g1*g3^3*t^7.19*y)/g2 - (t^7.53*y)/g3^5 - (g2*t^8.09*y)/g1 - g3*t^8.09*y - (g1*g3^2*t^8.09*y)/g2 + (g2*g3^6*t^8.66*y)/g1 + (g1*g3^8*t^8.66*y)/g2 + (t^8.72*y^2)/g3^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 47891 | $\phi_1^2q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ M_1\phi_1q_2\tilde{q}_2$ | 1.3396 | 1.5052 | 0.8899 | [X:[1.4109], M:[0.8836], q:[0.7055, 0.4109], qb:[0.7055, 0.4109], phi:[0.2945]] | t^2.47 + 2*t^2.65 + 2*t^3.35 + 5*t^4.23 + t^4.93 + 3*t^5.12 + 3*t^5.3 + 2*t^5.47 + 2*t^5.81 - t^6. - t^3.88/y - t^4.77/y - t^3.88*y - t^4.77*y | detail | |
| 47881 | $\phi_1^2q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ M_1\phi_1^3$ | 1.3224 | 1.4876 | 0.8889 | [X:[1.3809], M:[1.0713], q:[0.6904, 0.3809], qb:[0.6904, 0.3809], phi:[0.3096]] | t^2.29 + 4*t^3.21 + 5*t^4.14 + t^4.57 + t^5.07 + 2*t^5.29 + 4*t^5.5 - 5*t^6. - t^3.93/y - t^4.86/y - t^3.93*y - t^4.86*y | detail | |
| 47948 | $\phi_1^2q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ \phi_1q_1\tilde{q}_2$ | 1.0831 | 1.1944 | 0.9068 | [X:[1.5365], M:[], q:[1.0773, 0.3819], qb:[0.4592, 0.691], phi:[0.2318]] | t^2.09 + t^2.52 + 2*t^3.22 + t^3.91 + t^4.17 + 3*t^4.61 + t^5.05 + 2*t^5.3 + 2*t^5.52 + 2*t^5.74 - 2*t^6. - t^3.7/y - t^4.39/y - t^5.78/y - t^3.7*y - t^4.39*y - t^5.78*y | detail | |
| 47945 | $\phi_1^2q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ \phi_1q_2^2\tilde{q}_2^2$ | 1.3256 | 1.4774 | 0.8973 | [X:[1.4286], M:[], q:[0.7143, 0.4286], qb:[0.7143, 0.4286], phi:[0.2857]] | 2*t^2.57 + 3*t^3.43 + 5*t^4.29 + 4*t^5.14 + 2*t^5.57 + t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 7275/5488, c: 2027/1372, X1: 10/7, q1: 5/7, q2: 3/7, qb1: 5/7, qb2: 3/7, phi1: 2/7} |
| 47938 | $\phi_1^2q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2^2$ | 1.3158 | 1.4669 | 0.897 | [X:[1.4303], M:[], q:[0.6687, 0.3839], qb:[0.7616, 0.4768], phi:[0.2848]] | t^2.56 + t^2.58 + 3*t^3.44 + 5*t^4.29 + t^5.13 + 2*t^5.15 + 2*t^5.16 - t^6. - t^3.85/y - t^4.71/y - t^3.85*y - t^4.71*y | detail | |
| 47907 | $\phi_1^2q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ q_1q_2\tilde{q}_2^2$ | 1.3267 | 1.4817 | 0.8954 | [X:[1.4202], M:[], q:[0.7296, 0.4105], qb:[0.6907, 0.43], phi:[0.2899]] | t^2.52 + t^2.61 + t^3.3 + t^3.39 + t^3.48 + t^4.17 + 3*t^4.26 + t^4.35 + t^5.04 + 2*t^5.13 + t^5.22 + 2*t^5.52 + t^5.83 + t^5.91 - t^6. - t^3.87/y - t^4.74/y - t^3.87*y - t^4.74*y | detail | |
| 47929 | $\phi_1^2q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ q_2^2\tilde{q}_2^2$ | 1.2861 | 1.4111 | 0.9114 | [X:[1.5], M:[], q:[0.75, 0.5], qb:[0.75, 0.5], phi:[0.25]] | t^2.25 + t^3. + 3*t^3.75 + 6*t^4.5 + 2*t^5.25 + t^6. - t^3.75/y - t^4.5/y - t^6./y - t^3.75*y - t^4.5*y - t^6.*y | detail | {a: 1317/1024, c: 1445/1024, X1: 3/2, q1: 3/4, q2: 1/2, qb1: 3/4, qb2: 1/2, phi1: 1/4} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47866 | SU3adj1nf2 | . | 1.4743 | 1.6854 | 0.8748 | [X:[], M:[], q:[0.4934, 0.4934], qb:[0.4934, 0.4934], phi:[0.3377]] | t^2.03 + 4*t^2.96 + t^3.04 + 4*t^3.97 + t^4.05 + 8*t^4.99 + t^5.07 + 4*t^5.45 + 10*t^5.92 - t^4.01/y - t^5.03/y - t^4.01*y - t^5.03*y | detail |