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 |
|---|---|---|---|---|---|---|---|---|---|
| 2748 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_2M_5$ | 0.6005 | 0.7211 | 0.8327 | [X:[1.614], M:[0.8421, 0.7018, 1.1579, 0.386, 1.2982], q:[0.4035, 0.7544], qb:[0.4386, 0.8596], phi:[0.386]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [0, 7]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 | {a: 5203/8664, c: 781/1083, X1: 92/57, M1: 16/19, M2: 40/57, M3: 22/19, M4: 22/57, M5: 74/57, q1: 23/57, q2: 43/57, qb1: 25/57, qb2: 49/57, phi1: 22/57} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_1$, $ M_3$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_5$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_1\phi_1^2$, $ X_1$, $ M_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$ | $\phi_1^3q_1\tilde{q}_1$ | -1 | t^2.32 + t^2.53 + t^3.47 + 2*t^3.58 + t^3.68 + 2*t^3.79 + t^3.89 + t^4.63 + 2*t^4.84 + t^5.05 - t^6. + 2*t^6.11 + t^6.21 + 2*t^6.32 + t^6.42 + t^6.95 + 3*t^7.16 + 4*t^7.37 + 2*t^7.47 + 4*t^7.58 + 2*t^7.68 + t^7.79 - t^8.32 - 2*t^8.53 + 2*t^8.63 + t^8.74 + 2*t^8.84 + t^8.95 - t^4.16/y - t^6.47/y + (2*t^7.84)/y + (2*t^8.89)/y - t^4.16*y - t^6.47*y + 2*t^7.84*y + 2*t^8.89*y | t^2.32/g2^2 + g2^3*t^2.53 + t^3.47/g2^3 + (g1^2*t^3.58)/g2^9 + (g2^8*t^3.58)/g1^2 + g2^2*t^3.68 + (g1^2*t^3.79)/g2^4 + (g2^13*t^3.79)/g1^2 + g2^7*t^3.89 + t^4.63/g2^4 + 2*g2*t^4.84 + g2^6*t^5.05 - t^6. + (g1^2*t^6.11)/g2^6 + (g2^11*t^6.11)/g1^2 + g2^5*t^6.21 + (g1^2*t^6.32)/g2 + (g2^16*t^6.32)/g1^2 + g2^10*t^6.42 + t^6.95/g2^6 + (g1^4*t^7.16)/g2^18 + t^7.16/g2 + (g2^16*t^7.16)/g1^4 + (g1^4*t^7.37)/g2^13 + 2*g2^4*t^7.37 + (g2^21*t^7.37)/g1^4 + (g1^2*t^7.47)/g2^2 + (g2^15*t^7.47)/g1^2 + (g1^4*t^7.58)/g2^8 + 2*g2^9*t^7.58 + (g2^26*t^7.58)/g1^4 + g1^2*g2^3*t^7.68 + (g2^20*t^7.68)/g1^2 + g2^14*t^7.79 - t^8.32/g2^2 - 2*g2^3*t^8.53 + (g1^2*t^8.63)/g2^3 + (g2^14*t^8.63)/g1^2 + g2^8*t^8.74 + g1^2*g2^2*t^8.84 + (g2^19*t^8.84)/g1^2 + g2^13*t^8.95 - t^4.16/(g2*y) - t^6.47/(g2^3*y) + (2*g2*t^7.84)/y + (g1^2*t^8.89)/(g2^11*y) + (g2^6*t^8.89)/(g1^2*y) - (t^4.16*y)/g2 - (t^6.47*y)/g2^3 + 2*g2*t^7.84*y + (g1^2*t^8.89*y)/g2^11 + (g2^6*t^8.89*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3259 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_2M_5$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.6187 | 0.7531 | 0.8216 | [X:[1.6168], M:[0.8504, 0.6824, 1.1496, 0.3832, 1.3176, 0.7664], q:[0.4042, 0.7454], qb:[0.4462, 0.8714], phi:[0.3832]] | 2*t^2.3 + t^2.55 + t^3.45 + 2*t^3.57 + 2*t^3.83 + t^3.95 + 3*t^4.6 + 3*t^4.85 + t^5.1 + t^5.75 + 2*t^5.87 - 2*t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1746 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.6212 | 0.7607 | 0.8166 | [X:[1.6162], M:[0.8487, 0.6865, 1.1513, 0.3838], q:[0.4041, 0.7473], qb:[0.4446, 0.8689], phi:[0.3838]] | t^2.06 + t^2.3 + t^2.55 + t^3.45 + 2*t^3.58 + t^3.7 + 2*t^3.82 + t^4.12 + t^4.36 + 2*t^4.61 + 2*t^4.85 + t^5.09 + t^5.51 + 2*t^5.64 + t^5.76 + 2*t^5.88 - t^6. - t^4.15/y - t^4.15*y | detail |