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 |
|---|---|---|---|---|---|---|---|---|---|
| 3880 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6901 | 0.8854 | 0.7795 | [X:[], M:[0.7257, 0.8083, 0.6845, 0.8495, 1.1505, 0.8495, 0.7257], q:[0.8701, 0.4041], qb:[0.4454, 0.7464], phi:[0.3835]] | [X:[], M:[[18], [-2], [28], [-12], [12], [-12], [18]], q:[[-17], [-1]], qb:[[-11], [13]], phi:[[4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ M_7$, $ \phi_1^2$, $ M_2$, $ M_4$, $ M_6$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ M_1M_3$, $ M_3M_7$, $ M_1^2$, $ M_1M_7$, $ M_7^2$, $ M_3\phi_1^2$, $ M_2M_3$, $ M_1\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ M_2M_7$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_1M_6$, $ M_4M_7$, $ M_6M_7$, $ M_2\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2M_4$, $ M_2M_6$, $ \phi_1q_1q_2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3\phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_7\phi_1q_2^2$, $ M_3\phi_1q_2\tilde{q}_1$, $ \phi_1^3q_2^2$, $ M_7\phi_1q_2\tilde{q}_1$ | $\phi_1^3q_2\tilde{q}_1$ | -1 | t^2.05 + 2*t^2.18 + t^2.3 + t^2.42 + 2*t^2.55 + t^3.58 + t^3.7 + t^4.11 + 2*t^4.23 + 4*t^4.35 + 3*t^4.48 + 5*t^4.6 + 5*t^4.73 + 4*t^4.85 + 2*t^4.97 + 3*t^5.1 + t^5.63 + 2*t^5.75 + t^5.88 - t^6. + t^6.12 + t^6.16 + t^6.25 + 2*t^6.28 + 4*t^6.41 + 7*t^6.53 + 8*t^6.66 + 10*t^6.78 + 12*t^6.9 + 9*t^7.03 + 9*t^7.15 + 7*t^7.27 + 4*t^7.4 + t^7.52 + 3*t^7.65 + t^7.68 + 2*t^7.81 + 2*t^7.93 - t^8.05 - 3*t^8.18 + t^8.21 - 2*t^8.3 + 2*t^8.34 - 4*t^8.42 + 4*t^8.46 - 5*t^8.55 + 7*t^8.59 - 2*t^8.67 + 13*t^8.71 + 14*t^8.83 + 19*t^8.96 - t^4.15/y - t^6.2/y - (2*t^6.33)/y - t^6.45/y - t^6.58/y - t^6.7/y + (2*t^7.23)/y + (2*t^7.35)/y + (3*t^7.48)/y + (5*t^7.6)/y + (6*t^7.73)/y + (3*t^7.85)/y + (4*t^7.97)/y + (2*t^8.1)/y - t^8.26/y - (2*t^8.38)/y - (4*t^8.5)/y - (2*t^8.63)/y - t^8.75/y - t^4.15*y - t^6.2*y - 2*t^6.33*y - t^6.45*y - t^6.58*y - t^6.7*y + 2*t^7.23*y + 2*t^7.35*y + 3*t^7.48*y + 5*t^7.6*y + 6*t^7.73*y + 3*t^7.85*y + 4*t^7.97*y + 2*t^8.1*y - t^8.26*y - 2*t^8.38*y - 4*t^8.5*y - 2*t^8.63*y - t^8.75*y | g1^28*t^2.05 + 2*g1^18*t^2.18 + g1^8*t^2.3 + t^2.42/g1^2 + (2*t^2.55)/g1^12 + g1^2*t^3.58 + t^3.7/g1^8 + g1^56*t^4.11 + 2*g1^46*t^4.23 + 4*g1^36*t^4.35 + 3*g1^26*t^4.48 + 5*g1^16*t^4.6 + 5*g1^6*t^4.73 + (4*t^4.85)/g1^4 + (2*t^4.97)/g1^14 + (3*t^5.1)/g1^24 + g1^30*t^5.63 + 2*g1^20*t^5.75 + g1^10*t^5.88 - t^6. + t^6.12/g1^10 + g1^84*t^6.16 + t^6.25/g1^20 + 2*g1^74*t^6.28 + 4*g1^64*t^6.41 + 7*g1^54*t^6.53 + 8*g1^44*t^6.66 + 10*g1^34*t^6.78 + 12*g1^24*t^6.9 + 9*g1^14*t^7.03 + 9*g1^4*t^7.15 + (7*t^7.27)/g1^6 + (4*t^7.4)/g1^16 + t^7.52/g1^26 + (3*t^7.65)/g1^36 + g1^58*t^7.68 + 2*g1^48*t^7.81 + 2*g1^38*t^7.93 - g1^28*t^8.05 - 3*g1^18*t^8.18 + g1^112*t^8.21 - 2*g1^8*t^8.3 + 2*g1^102*t^8.34 - (4*t^8.42)/g1^2 + 4*g1^92*t^8.46 - (5*t^8.55)/g1^12 + 7*g1^82*t^8.59 - (2*t^8.67)/g1^22 + 13*g1^72*t^8.71 + 14*g1^62*t^8.83 + 19*g1^52*t^8.96 - (g1^4*t^4.15)/y - (g1^32*t^6.2)/y - (2*g1^22*t^6.33)/y - (g1^12*t^6.45)/y - (g1^2*t^6.58)/y - t^6.7/(g1^8*y) + (2*g1^46*t^7.23)/y + (2*g1^36*t^7.35)/y + (3*g1^26*t^7.48)/y + (5*g1^16*t^7.6)/y + (6*g1^6*t^7.73)/y + (3*t^7.85)/(g1^4*y) + (4*t^7.97)/(g1^14*y) + (2*t^8.1)/(g1^24*y) - (g1^60*t^8.26)/y - (2*g1^50*t^8.38)/y - (4*g1^40*t^8.5)/y - (2*g1^30*t^8.63)/y - (g1^20*t^8.75)/y - g1^4*t^4.15*y - g1^32*t^6.2*y - 2*g1^22*t^6.33*y - g1^12*t^6.45*y - g1^2*t^6.58*y - (t^6.7*y)/g1^8 + 2*g1^46*t^7.23*y + 2*g1^36*t^7.35*y + 3*g1^26*t^7.48*y + 5*g1^16*t^7.6*y + 6*g1^6*t^7.73*y + (3*t^7.85*y)/g1^4 + (4*t^7.97*y)/g1^14 + (2*t^8.1*y)/g1^24 - g1^60*t^8.26*y - 2*g1^50*t^8.38*y - 4*g1^40*t^8.5*y - 2*g1^30*t^8.63*y - g1^20*t^8.75*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 |
|---|---|---|---|---|---|---|---|---|
| 5468 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.7085 | 0.919 | 0.771 | [X:[], M:[0.7206, 0.8088, 0.6764, 0.853, 1.147, 0.853, 0.7206, 0.7647], q:[0.875, 0.4044], qb:[0.4485, 0.7426], phi:[0.3823]] | t^2.03 + 2*t^2.16 + 2*t^2.29 + t^2.43 + 2*t^2.56 + t^3.57 + t^4.06 + 2*t^4.19 + 5*t^4.32 + 5*t^4.46 + 7*t^4.59 + 6*t^4.72 + 6*t^4.85 + 2*t^4.99 + 3*t^5.12 + t^5.6 + t^5.74 - 2*t^6. - t^4.15/y - t^4.15*y | detail | |
| 5467 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ | 0.7061 | 0.9132 | 0.7733 | [X:[], M:[0.7275, 0.8081, 0.6872, 0.8484, 1.1516, 0.8484, 0.7275, 0.8081], q:[0.8685, 0.404], qb:[0.4443, 0.7476], phi:[0.3839]] | t^2.06 + 2*t^2.18 + t^2.3 + 2*t^2.42 + 2*t^2.55 + t^3.7 + t^4.12 + 2*t^4.24 + 4*t^4.36 + 4*t^4.49 + 7*t^4.61 + 6*t^4.73 + 6*t^4.85 + 4*t^4.97 + 3*t^5.09 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3392 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_5M_6$ | 0.6704 | 0.8481 | 0.7904 | [X:[], M:[0.7343, 0.8073, 0.6978, 0.8438, 1.1562, 0.8438], q:[0.8621, 0.4037], qb:[0.4402, 0.7525], phi:[0.3854]] | t^2.09 + t^2.2 + t^2.31 + t^2.42 + 2*t^2.53 + t^3.58 + t^3.69 + t^3.8 + t^4.19 + t^4.3 + 2*t^4.41 + 2*t^4.52 + 4*t^4.62 + 3*t^4.73 + 4*t^4.84 + 2*t^4.95 + 3*t^5.06 + t^5.67 + t^5.78 + t^5.89 - t^4.16/y - t^4.16*y | detail |