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 |
|---|---|---|---|---|---|---|---|---|---|
| 46919 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ | 0.615 | 0.7516 | 0.8183 | [X:[], M:[0.8144, 0.8144, 1.1856, 0.7664, 1.2096], q:[0.3832, 0.8024], qb:[0.8024, 0.4312], phi:[0.3952]] | [X:[], M:[[6], [6], [-6], [-14], [4]], q:[[-7], [1]], qb:[[1], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_2$, $ \phi_1q_1^2$, $ M_3$, $ M_5$, $ \phi_1q_1\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_1M_4$, $ M_2M_4$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1q_1^2$, $ M_4M_5$, $ M_4\phi_1q_1\tilde{q}_2$ | $M_2M_3$, $ \phi_1q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$ | 0 | t^2.3 + 2*t^2.44 + t^3.48 + t^3.56 + 2*t^3.63 + t^3.7 + t^3.77 + t^4.6 + 2*t^4.74 + t^4.81 + 3*t^4.89 + t^5.78 + 2*t^5.93 + 3*t^6.07 + t^6.14 + 2*t^6.22 + t^6.9 + t^6.97 + 2*t^7.04 + t^7.11 + 2*t^7.19 + 2*t^7.26 + 4*t^7.33 + 2*t^7.4 + t^7.47 + t^7.55 + t^8.08 + 2*t^8.23 - 2*t^8.3 + 2*t^8.37 - 2*t^8.44 + 3*t^8.52 + t^8.59 + 3*t^8.66 - t^4.19/y - t^6.48/y - t^6.63/y + (3*t^7.74)/y + (2*t^7.89)/y + t^8.86/y + (3*t^8.93)/y - t^4.19*y - t^6.48*y - t^6.63*y + 3*t^7.74*y + 2*t^7.89*y + t^8.86*y + 3*t^8.93*y | t^2.3/g1^14 + 2*g1^6*t^2.44 + t^3.48/g1^16 + t^3.56/g1^6 + 2*g1^4*t^3.63 + g1^14*t^3.7 + g1^24*t^3.77 + t^4.6/g1^28 + (2*t^4.74)/g1^8 + g1^2*t^4.81 + 3*g1^12*t^4.89 + t^5.78/g1^30 + (2*t^5.93)/g1^10 + 3*g1^10*t^6.07 + g1^20*t^6.14 + 2*g1^30*t^6.22 + t^6.9/g1^42 + t^6.97/g1^32 + (2*t^7.04)/g1^22 + t^7.11/g1^12 + (2*t^7.19)/g1^2 + 2*g1^8*t^7.26 + 4*g1^18*t^7.33 + 2*g1^28*t^7.4 + g1^38*t^7.47 + g1^48*t^7.55 + t^8.08/g1^44 + (2*t^8.23)/g1^24 - (2*t^8.3)/g1^14 + (2*t^8.37)/g1^4 - 2*g1^6*t^8.44 + 3*g1^16*t^8.52 + g1^26*t^8.59 + 3*g1^36*t^8.66 - t^4.19/(g1^2*y) - t^6.48/(g1^16*y) - (g1^4*t^6.63)/y + (3*t^7.74)/(g1^8*y) + (2*g1^12*t^7.89)/y + t^8.86/(g1^20*y) + (3*t^8.93)/(g1^10*y) - (t^4.19*y)/g1^2 - (t^6.48*y)/g1^16 - g1^4*t^6.63*y + (3*t^7.74*y)/g1^8 + 2*g1^12*t^7.89*y + (t^8.86*y)/g1^20 + (3*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 55102 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.6349 | 0.7889 | 0.8048 | [X:[], M:[0.8213, 0.8213, 1.1787, 0.7503, 1.2142, 0.7147], q:[0.3751, 0.8036], qb:[0.8036, 0.4462], phi:[0.3929]] | t^2.14 + t^2.25 + 2*t^2.46 + t^3.43 + t^3.54 + 2*t^3.64 + t^3.75 + t^4.29 + t^4.4 + t^4.5 + 2*t^4.61 + 2*t^4.71 + t^4.82 + 3*t^4.93 + t^5.57 + 2*t^5.68 + 2*t^5.79 + 3*t^5.89 - t^4.18/y - t^4.18*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46689 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ | 0.6814 | 0.8225 | 0.8284 | [X:[], M:[1.0, 0.742, 1.0, 0.9353, 1.1613], q:[0.4677, 0.5323], qb:[0.7903, 0.5323], phi:[0.4193]] | t^2.23 + t^2.81 + 2*t^3. + t^3.48 + 2*t^3.97 + t^4.06 + 2*t^4.26 + 4*t^4.45 + t^5.03 + 2*t^5.23 + t^5.61 + t^5.71 - 2*t^6. - t^4.26/y - t^4.26*y | detail |