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 |
|---|---|---|---|---|---|---|---|---|---|
| 675 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_4M_5$ + $ M_3X_1$ | 0.5037 | 0.6166 | 0.8169 | [X:[1.4182], M:[0.9089, 1.2243, 0.5818, 0.8364, 1.1636], q:[0.8061, 0.2243], qb:[0.8668, 0.5514], phi:[0.3879]] | [X:[[3]], M:[[-15], [4], [-3], [6], [-6]], q:[[1], [4]], qb:[[11], [-8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_4$, $ M_1$, $ q_1q_2$, $ M_5$, $ M_2$, $ X_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1^4$, $ M_4\phi_1^2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_4q_1q_2$, $ M_5\phi_1^2$ | . | -1 | t^2.33 + t^2.51 + t^2.73 + t^3.09 + t^3.49 + t^3.67 + t^4.25 + t^4.44 + t^4.47 + t^4.65 + t^4.84 + t^5.02 + t^5.42 + t^5.45 + t^5.6 + t^5.82 - t^6. + t^6.36 + t^6.58 + t^6.76 + 2*t^6.8 + 2*t^6.98 + t^7.2 + t^7.35 + t^7.53 + t^7.75 + t^7.96 + t^8.15 + t^8.18 - t^8.33 - t^8.51 + 2*t^8.69 - 2*t^8.73 + t^8.87 + t^8.94 - t^4.16/y - t^6.89/y + t^7.44/y + t^7.84/y + t^8.05/y + t^8.24/y + t^8.42/y + t^8.6/y + (2*t^8.82)/y - t^4.16*y - t^6.89*y + t^7.44*y + t^7.84*y + t^8.05*y + t^8.24*y + t^8.42*y + t^8.6*y + 2*t^8.82*y | t^2.33/g1^4 + g1^6*t^2.51 + t^2.73/g1^15 + g1^5*t^3.09 + t^3.49/g1^6 + g1^4*t^3.67 + g1^3*t^4.25 + g1^13*t^4.44 + t^4.47/g1^18 + t^4.65/g1^8 + g1^2*t^4.84 + g1^12*t^5.02 + g1*t^5.42 + t^5.45/g1^30 + g1^11*t^5.6 + t^5.82/g1^10 - t^6. + g1^20*t^6.36 + t^6.58/g1 + g1^9*t^6.76 + (2*t^6.8)/g1^22 + (2*t^6.98)/g1^12 + t^7.2/g1^33 + g1^8*t^7.35 + g1^18*t^7.53 + t^7.75/g1^3 + t^7.96/g1^24 + t^8.15/g1^14 + t^8.18/g1^45 - t^8.33/g1^4 - g1^6*t^8.51 + 2*g1^16*t^8.69 - (2*t^8.73)/g1^15 + g1^26*t^8.87 + t^8.94/g1^36 - t^4.16/(g1^2*y) - t^6.89/(g1^17*y) + (g1^13*t^7.44)/y + (g1^2*t^7.84)/y + t^8.05/(g1^19*y) + t^8.24/(g1^9*y) + (g1*t^8.42)/y + (g1^11*t^8.6)/y + (2*t^8.82)/(g1^10*y) - (t^4.16*y)/g1^2 - (t^6.89*y)/g1^17 + g1^13*t^7.44*y + g1^2*t^7.84*y + (t^8.05*y)/g1^19 + (t^8.24*y)/g1^9 + g1*t^8.42*y + g1^11*t^8.6*y + (2*t^8.82*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1082 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_4M_5$ + $ M_3X_1$ + $ M_4q_1q_2$ | 0.4857 | 0.5994 | 0.8104 | [X:[1.4545], M:[0.7273, 1.2727, 0.5455, 0.9091, 1.0909], q:[0.8182, 0.2727], qb:[1.0, 0.4545], phi:[0.3636]] | 2*t^2.18 + t^2.73 + 2*t^3.27 + 2*t^3.82 + 3*t^4.36 + 2*t^4.91 + 3*t^5.45 + 3*t^6. - t^4.09/y - t^4.09*y | detail | {a: 1293/2662, c: 3191/5324, X1: 16/11, M1: 8/11, M2: 14/11, M3: 6/11, M4: 10/11, M5: 12/11, q1: 9/11, q2: 3/11, qb1: 1, qb2: 5/11, phi1: 4/11} |
| 1085 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_4M_5$ + $ M_3X_1$ + $ M_5M_6$ | 0.5182 | 0.6419 | 0.8074 | [X:[1.4129], M:[0.9353, 1.2172, 0.5871, 0.8259, 1.1741, 0.8259], q:[0.8043, 0.2172], qb:[0.8474, 0.5655], phi:[0.3914]] | t^2.35 + 2*t^2.48 + t^2.81 + t^3.06 + t^3.65 + t^4.24 + t^4.37 + t^4.57 + t^4.7 + 2*t^4.83 + 3*t^4.96 + t^5.28 + t^5.41 + 2*t^5.54 + t^5.61 - 2*t^6. - t^4.17/y - t^4.17*y | detail | |
| 1084 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_4M_5$ + $ M_3X_1$ + $ M_6q_1q_2$ | 0.507 | 0.6225 | 0.8145 | [X:[1.4241], M:[0.8797, 1.2321, 0.5759, 0.8481, 1.1519, 0.9599], q:[0.808, 0.2321], qb:[0.8882, 0.5359], phi:[0.384]] | t^2.3 + t^2.54 + t^2.64 + t^2.88 + t^3.46 + t^3.7 + t^4.27 + t^4.37 + t^4.51 + t^4.61 + t^4.85 + t^5.09 + t^5.18 + t^5.28 + t^5.42 + t^5.52 + t^5.76 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 415 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ | 0.6912 | 0.864 | 0.8 | [X:[], M:[0.9777, 1.1199, 0.9825, 0.6799, 0.6751], q:[0.78, 0.4425], qb:[0.5799, 0.4376], phi:[0.44]] | t^2.03 + t^2.04 + t^2.64 + t^2.93 + t^2.95 + t^3.36 + t^3.65 + t^3.67 + t^3.95 + t^4.05 + t^4.06 + 2*t^4.08 + t^4.37 + t^4.39 + t^4.67 + t^4.68 + t^4.8 + t^4.96 + 2*t^4.97 + t^4.99 + t^5.28 + t^5.39 + t^5.4 + t^5.68 + 2*t^5.69 + t^5.71 + t^5.87 + t^5.88 + t^5.9 + t^5.97 - 2*t^6. - t^4.32/y - t^4.32*y | detail |