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 |
|---|---|---|---|---|---|---|---|---|---|
| 414 | 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_4q_1q_2$ | 0.6566 | 0.8083 | 0.8123 | [X:[], M:[0.8549, 1.1451, 0.9921, 0.7177], q:[0.7863, 0.496], qb:[0.6491, 0.3588], phi:[0.4274]] | [X:[], M:[[-4], [4], [-14], [6]], q:[[1], [-7]], qb:[[11], [3]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ \phi_1^2$, $ M_3$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1q_2$, $ \phi_1q_2^2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1^2$, $ M_3M_4$, $ M_1\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1^2$, $ M_1M_3$, $ M_3\phi_1^2$, $ M_2M_4$, $ M_4q_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$, $ M_3^2$ | $M_1M_2$, $ M_1q_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_2^2$ | 3 | t^2.15 + 2*t^2.56 + t^2.98 + 3*t^3.44 + t^3.85 + t^4.26 + 3*t^4.31 + 3*t^4.72 + 3*t^5.13 + t^5.18 + t^5.54 + 2*t^5.59 + t^5.95 + 3*t^6. + 2*t^6.41 + 2*t^6.46 + 2*t^6.82 + 6*t^6.87 + t^7.23 + 4*t^7.28 + t^7.33 + 4*t^7.69 + 6*t^7.74 + 3*t^8.11 + t^8.15 + 2*t^8.52 + 5*t^8.61 + t^8.93 - t^4.28/y - t^6.44/y - t^6.85/y - t^7.26/y + t^7.31/y + (3*t^7.72)/y + (3*t^8.13)/y + (2*t^8.54)/y + (2*t^8.59)/y - t^4.28*y - t^6.44*y - t^6.85*y - t^7.26*y + t^7.31*y + 3*t^7.72*y + 3*t^8.13*y + 2*t^8.54*y + 2*t^8.59*y | g1^6*t^2.15 + (2*t^2.56)/g1^4 + t^2.98/g1^14 + 3*g1^4*t^3.44 + t^3.85/g1^6 + t^4.26/g1^16 + 3*g1^12*t^4.31 + 3*g1^2*t^4.72 + (3*t^5.13)/g1^8 + g1^20*t^5.18 + t^5.54/g1^18 + 2*g1^10*t^5.59 + t^5.95/g1^28 + 3*t^6. + (2*t^6.41)/g1^10 + 2*g1^18*t^6.46 + (2*t^6.82)/g1^20 + 6*g1^8*t^6.87 + t^7.23/g1^30 + (4*t^7.28)/g1^2 + g1^26*t^7.33 + (4*t^7.69)/g1^12 + 6*g1^16*t^7.74 + (3*t^8.11)/g1^22 + g1^6*t^8.15 + (2*t^8.52)/g1^32 + 5*g1^24*t^8.61 + t^8.93/g1^42 - t^4.28/(g1^2*y) - (g1^4*t^6.44)/y - t^6.85/(g1^6*y) - t^7.26/(g1^16*y) + (g1^12*t^7.31)/y + (3*g1^2*t^7.72)/y + (3*t^8.13)/(g1^8*y) + (2*t^8.54)/(g1^18*y) + (2*g1^10*t^8.59)/y - (t^4.28*y)/g1^2 - g1^4*t^6.44*y - (t^6.85*y)/g1^6 - (t^7.26*y)/g1^16 + g1^12*t^7.31*y + 3*g1^2*t^7.72*y + (3*t^8.13*y)/g1^8 + (2*t^8.54*y)/g1^18 + 2*g1^10*t^8.59*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 |
|---|---|---|---|---|---|---|---|---|
| 678 | $\phi_1q_1^2$ + $ 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_4q_1q_2$ + $ M_1M_3$ + $ M_4X_1$ | 0.6258 | 0.7577 | 0.8259 | [X:[1.3333], M:[0.8889, 1.1111, 1.1111, 0.6667], q:[0.7778, 0.5556], qb:[0.5556, 0.3333], phi:[0.4444]] | 2*t^2.67 + 4*t^3.33 + 4*t^4. + 3*t^4.67 + t^5.33 + 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 811/1296, c: 491/648, X1: 4/3, M1: 8/9, M2: 10/9, M3: 10/9, M4: 2/3, q1: 7/9, q2: 5/9, qb1: 5/9, qb2: 1/3, phi1: 4/9} |
| 672 | $\phi_1q_1^2$ + $ 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_4q_1q_2$ + $ M_1M_5$ | 0.644 | 0.7871 | 0.8182 | [X:[], M:[0.8593, 1.1407, 1.0076, 0.711, 1.1407], q:[0.7852, 0.5038], qb:[0.6369, 0.3555], phi:[0.4297]] | t^2.13 + t^2.58 + t^3.02 + 4*t^3.42 + t^3.87 + 3*t^4.27 + t^4.31 + 2*t^4.71 + t^5.11 + t^5.16 + 3*t^5.56 + t^6. - t^4.29/y - t^4.29*y | detail | |
| 669 | $\phi_1q_1^2$ + $ 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_4q_1q_2$ + $ M_2M_4$ | 0.63 | 0.78 | 0.8077 | [X:[], M:[0.8, 1.2, 0.8, 0.8], q:[0.8, 0.4], qb:[0.8, 0.4], phi:[0.4]] | 4*t^2.4 + 5*t^3.6 + 11*t^4.8 + 11*t^6. - t^4.2/y - t^4.2*y | detail | {a: 63/100, c: 39/50, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, q1: 4/5, q2: 2/5, qb1: 4/5, qb2: 2/5, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 262 | 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$ | 0.6704 | 0.8228 | 0.8147 | [X:[], M:[0.979, 1.1205, 0.979, 0.6807], q:[0.7801, 0.4398], qb:[0.5813, 0.4398], phi:[0.4398]] | t^2.04 + t^2.64 + 2*t^2.94 + t^3.36 + 2*t^3.66 + 2*t^3.96 + 2*t^4.08 + 2*t^4.38 + t^4.68 + t^4.81 + 2*t^4.98 + t^5.28 + t^5.4 + 2*t^5.7 + 3*t^5.87 - 2*t^6. - t^4.32/y - t^4.32*y | detail |