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 |
|---|---|---|---|---|---|---|---|---|---|
| 1655 | 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_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ + $ M_7q_1q_2$ | 0.5253 | 0.6558 | 0.801 | [X:[1.4264], M:[0.8681, 1.2352, 0.5736, 0.8528, 0.7648, 1.1472, 0.956], q:[0.8088, 0.2352], qb:[0.8967, 0.5297], phi:[0.3824]] | [X:[[3]], M:[[-15], [4], [-3], [6], [-4], [-6], [-5]], q:[[1], [4]], qb:[[11], [-8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ \phi_1^2$, $ M_4$, $ M_1$, $ M_7$, $ M_6$, $ X_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ M_1M_4$, $ M_5M_7$, $ M_7\phi_1^2$, $ M_1^2$, $ M_4M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_7$, $ M_5M_6$, $ M_7^2$, $ M_6\phi_1^2$ | . | -2 | 2*t^2.29 + t^2.56 + t^2.6 + t^2.87 + t^3.44 + t^4.28 + t^4.33 + t^4.54 + 3*t^4.59 + 2*t^4.85 + t^4.9 + t^5.12 + 2*t^5.16 + t^5.21 + t^5.43 + t^5.47 + 2*t^5.74 - 2*t^6. - 2*t^6.26 + t^6.53 + t^6.57 + 3*t^6.62 + t^6.84 + 5*t^6.88 + t^6.93 + 2*t^7.15 + 2*t^7.19 + t^7.41 + 2*t^7.46 + t^7.5 + 2*t^7.72 + 2*t^7.77 + t^7.81 - t^7.98 + 3*t^8.03 + t^8.08 - 2*t^8.25 - 3*t^8.29 - 5*t^8.56 - t^8.6 + t^8.65 + t^8.82 - 2*t^8.87 + 3*t^8.91 - t^4.15/y - t^6.44/y - t^6.75/y - t^7.02/y + t^7.28/y + t^7.54/y + t^7.59/y + (3*t^7.85)/y + (2*t^7.9)/y + (3*t^8.16)/y + t^8.43/y + t^8.47/y + t^8.74/y - t^4.15*y - t^6.44*y - t^6.75*y - t^7.02*y + t^7.28*y + t^7.54*y + t^7.59*y + 3*t^7.85*y + 2*t^7.9*y + 3*t^8.16*y + t^8.43*y + t^8.47*y + t^8.74*y | (2*t^2.29)/g1^4 + g1^6*t^2.56 + t^2.6/g1^15 + t^2.87/g1^5 + t^3.44/g1^6 + g1^3*t^4.28 + t^4.33/g1^18 + g1^13*t^4.54 + (3*t^4.59)/g1^8 + 2*g1^2*t^4.85 + t^4.9/g1^19 + g1^12*t^5.12 + (2*t^5.16)/g1^9 + t^5.21/g1^30 + g1*t^5.43 + t^5.47/g1^20 + (2*t^5.74)/g1^10 - 2*t^6. - 2*g1^10*t^6.26 + g1^20*t^6.53 + t^6.57/g1 + (3*t^6.62)/g1^22 + g1^9*t^6.84 + (5*t^6.88)/g1^12 + t^6.93/g1^33 + (2*t^7.15)/g1^2 + (2*t^7.19)/g1^23 + g1^8*t^7.41 + (2*t^7.46)/g1^13 + t^7.5/g1^34 + (2*t^7.72)/g1^3 + (2*t^7.77)/g1^24 + t^7.81/g1^45 - g1^7*t^7.98 + (3*t^8.03)/g1^14 + t^8.08/g1^35 - 2*g1^17*t^8.25 - (3*t^8.29)/g1^4 - 5*g1^6*t^8.56 - t^8.6/g1^15 + t^8.65/g1^36 + g1^16*t^8.82 - (2*t^8.87)/g1^5 + (3*t^8.91)/g1^26 - t^4.15/(g1^2*y) - t^6.44/(g1^6*y) - t^6.75/(g1^17*y) - t^7.02/(g1^7*y) + (g1^3*t^7.28)/y + (g1^13*t^7.54)/y + t^7.59/(g1^8*y) + (3*g1^2*t^7.85)/y + (2*t^7.9)/(g1^19*y) + (3*t^8.16)/(g1^9*y) + (g1*t^8.43)/y + t^8.47/(g1^20*y) + t^8.74/(g1^10*y) - (t^4.15*y)/g1^2 - (t^6.44*y)/g1^6 - (t^6.75*y)/g1^17 - (t^7.02*y)/g1^7 + g1^3*t^7.28*y + g1^13*t^7.54*y + (t^7.59*y)/g1^8 + 3*g1^2*t^7.85*y + (2*t^7.9*y)/g1^19 + (3*t^8.16*y)/g1^9 + g1*t^8.43*y + (t^8.47*y)/g1^20 + (t^8.74*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 |
|---|---|---|---|---|---|---|---|---|
| 4053 | $\phi_1q_1^2$ + $ 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_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ + $ M_7q_1q_2$ + $ M_1M_5$ | 0.4822 | 0.6006 | 0.8028 | [X:[1.3684], M:[1.1579, 1.1579, 0.6316, 0.7368, 0.8421, 1.2632, 1.0526], q:[0.7895, 0.1579], qb:[0.6842, 0.6842], phi:[0.4211]] | t^2.21 + 2*t^2.53 + t^3.16 + t^3.47 + 2*t^3.79 + t^4.11 + t^4.42 + 2*t^4.74 + 3*t^5.05 + 3*t^5.37 - t^6. - t^4.26/y - t^4.26*y | detail | {a: 6615/13718, c: 16479/27436, X1: 26/19, M1: 22/19, M2: 22/19, M3: 12/19, M4: 14/19, M5: 16/19, M6: 24/19, M7: 20/19, q1: 15/19, q2: 3/19, qb1: 13/19, qb2: 13/19, phi1: 8/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1061 | 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_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ | 0.5217 | 0.6488 | 0.804 | [X:[1.4208], M:[0.8962, 1.2277, 0.5792, 0.8415, 0.7723, 1.1585], q:[0.8069, 0.2277], qb:[0.8761, 0.5447], phi:[0.3862]] | 2*t^2.32 + t^2.52 + t^2.69 + t^3.1 + t^3.48 + t^4.26 + t^4.43 + t^4.47 + 3*t^4.63 + 2*t^4.84 + t^5.01 + t^5.05 + t^5.38 + 2*t^5.42 + t^5.63 + 2*t^5.79 - 2*t^6. - t^4.16/y - t^4.16*y | detail |