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 |
|---|---|---|---|---|---|---|---|---|---|
| 481 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.5672 | 0.6901 | 0.8219 | [X:[1.6554], M:[0.9661, 0.3446, 1.0339, 0.7571], q:[0.7232, 0.9322], qb:[0.3107, 0.6554], phi:[0.3446]] | [X:[[1]], M:[[3], [-1], [-3], [-8]], q:[[-5], [6]], qb:[[2], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_4$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ q_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_4^2$, $ q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_1M_4$, $ M_3\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -1 | t^2.07 + t^2.27 + 2*t^2.9 + t^3.1 + t^3.93 + 2*t^4.14 + t^4.34 + t^4.54 + t^4.76 + 3*t^4.97 + 2*t^5.17 + t^5.37 + 2*t^5.8 - t^6. + 2*t^6.2 + 2*t^6.41 + t^6.61 + t^6.81 + 3*t^7.03 + 3*t^7.24 + 2*t^7.44 + t^7.64 + t^7.66 + t^7.86 + t^8.27 + 2*t^8.47 + 2*t^8.68 + t^8.69 + t^8.88 - 4*t^8.9 - t^4.03/y - t^6.1/y - t^6.31/y + t^7.34/y + t^7.76/y + (3*t^7.97)/y + (2*t^8.17)/y - t^8.58/y + t^8.8/y - t^4.03*y - t^6.1*y - t^6.31*y + t^7.34*y + t^7.76*y + 3*t^7.97*y + 2*t^8.17*y - t^8.58*y + t^8.8*y | t^2.07/g1^2 + t^2.27/g1^8 + 2*g1^3*t^2.9 + t^3.1/g1^3 + g1^2*t^3.93 + (2*t^4.14)/g1^4 + t^4.34/g1^10 + t^4.54/g1^16 + g1^7*t^4.76 + 3*g1*t^4.97 + (2*t^5.17)/g1^5 + t^5.37/g1^11 + 2*g1^6*t^5.8 - t^6. + (2*t^6.2)/g1^6 + (2*t^6.41)/g1^12 + t^6.61/g1^18 + t^6.81/g1^24 + (3*t^7.03)/g1 + (3*t^7.24)/g1^7 + (2*t^7.44)/g1^13 + t^7.64/g1^19 + g1^10*t^7.66 + g1^4*t^7.86 + t^8.27/g1^8 + (2*t^8.47)/g1^14 + (2*t^8.68)/g1^20 + g1^9*t^8.69 + t^8.88/g1^26 - 4*g1^3*t^8.9 - t^4.03/(g1*y) - t^6.1/(g1^3*y) - t^6.31/(g1^9*y) + t^7.34/(g1^10*y) + (g1^7*t^7.76)/y + (3*g1*t^7.97)/y + (2*t^8.17)/(g1^5*y) - t^8.58/(g1^17*y) + (g1^6*t^8.8)/y - (t^4.03*y)/g1 - (t^6.1*y)/g1^3 - (t^6.31*y)/g1^9 + (t^7.34*y)/g1^10 + g1^7*t^7.76*y + 3*g1*t^7.97*y + (2*t^8.17*y)/g1^5 - (t^8.58*y)/g1^17 + g1^6*t^8.8*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 |
|---|---|---|---|---|---|---|---|---|
| 771 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_3M_5$ | 0.5709 | 0.6959 | 0.8204 | [X:[1.6514], M:[0.9543, 0.3486, 1.0457, 0.7884, 0.9543], q:[0.7428, 0.9087], qb:[0.3029, 0.6514], phi:[0.3486]] | t^2.09 + t^2.37 + 3*t^2.86 + t^3.91 + 2*t^4.18 + t^4.46 + t^4.68 + t^4.73 + 4*t^4.95 + 2*t^5.23 + 5*t^5.73 - 3*t^6. - t^4.05/y - t^4.05*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 |
|---|---|---|---|---|---|---|---|---|---|
| 305 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ | 0.5883 | 0.7268 | 0.8095 | [X:[1.4118], M:[1.0196, 0.5882, 0.9804, 0.7451], q:[0.6667, 0.9412], qb:[0.3137, 0.5098], phi:[0.3922]] | t^2.24 + t^2.35 + t^2.47 + t^2.94 + t^3.06 + t^3.53 + t^3.65 + t^4.24 + t^4.35 + t^4.47 + t^4.59 + 2*t^4.71 + 2*t^4.82 + t^4.94 + t^5.18 + t^5.29 + t^5.41 + t^5.53 + t^5.76 + 2*t^5.88 - t^4.18/y - t^4.18*y | detail | {a: 8161/13872, c: 5041/6936, X1: 24/17, M1: 52/51, M2: 10/17, M3: 50/51, M4: 38/51, q1: 2/3, q2: 16/17, qb1: 16/51, qb2: 26/51, phi1: 20/51} |