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 |
|---|---|---|---|---|---|---|---|---|---|
| 55550 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3M_4$ + $ M_5\phi_1^2$ + $ M_4M_6$ | 0.6694 | 0.8378 | 0.799 | [X:[], M:[1.0556, 0.7218, 0.8331, 1.1669, 1.0556, 0.8331], q:[0.5143, 0.4301], qb:[0.7639, 0.403], phi:[0.4722]] | [X:[], M:[[4], [-20], [-12], [12], [4], [-12]], q:[[19], [-23]], qb:[[1], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_6$, $ q_1\tilde{q}_2$, $ M_1$, $ M_5$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_2^2$, $ \phi_1q_1^2$, $ M_2M_3$, $ M_2M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ q_1^2\tilde{q}_2^2$, $ M_1M_3$, $ M_3M_5$, $ M_1M_6$, $ M_5M_6$, $ M_5q_1\tilde{q}_2$ | $M_2\phi_1\tilde{q}_2^2$ | -2 | t^2.17 + 2*t^2.5 + t^2.75 + 2*t^3.17 + t^3.58 + t^3.83 + t^3.92 + t^4. + t^4.17 + t^4.25 + t^4.33 + t^4.5 + 2*t^4.66 + t^4.92 + 3*t^5. + 2*t^5.25 + 2*t^5.33 + t^5.5 + 3*t^5.67 + t^5.92 - 2*t^6. + 2*t^6.08 + t^6.16 - t^6.25 + 4*t^6.33 + 2*t^6.41 + 3*t^6.5 + t^6.59 + 2*t^6.67 + 3*t^6.75 + 2*t^6.83 + t^6.92 + 2*t^7. + 4*t^7.16 + t^7.25 + t^7.42 + 5*t^7.5 + t^7.58 + t^7.67 + 2*t^7.75 + 4*t^7.83 + t^7.91 + t^7.99 + 2*t^8. + t^8.08 + 2*t^8.17 + t^8.25 + t^8.26 + t^8.33 + t^8.34 - 2*t^8.5 + 3*t^8.58 + 3*t^8.66 + 2*t^8.67 - 3*t^8.75 + 4*t^8.83 + 3*t^8.91 - t^4.42/y - t^6.58/y - t^6.92/y + t^7.25/y - t^7.58/y + (2*t^7.66)/y + (2*t^7.92)/y + t^8./y + (3*t^8.25)/y + (2*t^8.33)/y + (4*t^8.67)/y + (2*t^8.92)/y - t^4.42*y - t^6.58*y - t^6.92*y + t^7.25*y - t^7.58*y + 2*t^7.66*y + 2*t^7.92*y + t^8.*y + 3*t^8.25*y + 2*t^8.33*y + 4*t^8.67*y + 2*t^8.92*y | t^2.17/g1^20 + (2*t^2.5)/g1^12 + g1^30*t^2.75 + 2*g1^4*t^3.17 + t^3.58/g1^22 + g1^20*t^3.83 + t^3.92/g1^14 + t^4./g1^48 + g1^28*t^4.17 + t^4.25/g1^6 + t^4.33/g1^40 + g1^36*t^4.5 + (2*t^4.66)/g1^32 + g1^10*t^4.92 + (3*t^5.)/g1^24 + 2*g1^18*t^5.25 + (2*t^5.33)/g1^16 + g1^60*t^5.5 + (3*t^5.67)/g1^8 + g1^34*t^5.92 - 2*t^6. + (2*t^6.08)/g1^34 + t^6.16/g1^68 - g1^42*t^6.25 + 4*g1^8*t^6.33 + (2*t^6.41)/g1^26 + (3*t^6.5)/g1^60 + g1^50*t^6.59 + 2*g1^16*t^6.67 + (3*t^6.75)/g1^18 + (2*t^6.83)/g1^52 + g1^58*t^6.92 + 2*g1^24*t^7. + (4*t^7.16)/g1^44 + g1^66*t^7.25 + t^7.42/g1^2 + (5*t^7.5)/g1^36 + t^7.58/g1^70 + g1^40*t^7.67 + 2*g1^6*t^7.75 + (4*t^7.83)/g1^28 + t^7.91/g1^62 + t^7.99/g1^96 + 2*g1^48*t^8. + g1^14*t^8.08 + (2*t^8.17)/g1^20 + t^8.25/g1^54 + g1^90*t^8.26 + t^8.33/g1^88 + g1^56*t^8.34 - (2*t^8.5)/g1^12 + (3*t^8.58)/g1^46 + (3*t^8.66)/g1^80 + 2*g1^64*t^8.67 - 3*g1^30*t^8.75 + (4*t^8.83)/g1^4 + (3*t^8.91)/g1^38 - t^4.42/(g1^2*y) - t^6.58/(g1^22*y) - t^6.92/(g1^14*y) + t^7.25/(g1^6*y) - (g1^2*t^7.58)/y + (2*t^7.66)/(g1^32*y) + (2*g1^10*t^7.92)/y + t^8./(g1^24*y) + (3*g1^18*t^8.25)/y + (2*t^8.33)/(g1^16*y) + (4*t^8.67)/(g1^8*y) + (2*g1^34*t^8.92)/y - (t^4.42*y)/g1^2 - (t^6.58*y)/g1^22 - (t^6.92*y)/g1^14 + (t^7.25*y)/g1^6 - g1^2*t^7.58*y + (2*t^7.66*y)/g1^32 + 2*g1^10*t^7.92*y + (t^8.*y)/g1^24 + 3*g1^18*t^8.25*y + (2*t^8.33*y)/g1^16 + (4*t^8.67*y)/g1^8 + 2*g1^34*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 57120 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3M_4$ + $ M_5\phi_1^2$ + $ M_4M_6$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.69 | 0.8775 | 0.7863 | [X:[], M:[1.0553, 0.7237, 0.8342, 1.1658, 1.0553, 0.8342, 0.6934], q:[0.5125, 0.4323], qb:[0.7638, 0.402], phi:[0.4724]] | t^2.08 + t^2.17 + 2*t^2.5 + t^2.74 + 2*t^3.17 + t^3.59 + t^3.83 + t^4.01 + 2*t^4.16 + 2*t^4.25 + t^4.34 + t^4.49 + 2*t^4.58 + 2*t^4.67 + t^4.82 + t^4.91 + 3*t^5.01 + 4*t^5.25 + 2*t^5.34 + t^5.49 + 4*t^5.67 + 2*t^5.91 - 2*t^6. - t^4.42/y - t^4.42*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48112 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3M_4$ + $ M_5\phi_1^2$ | 0.6552 | 0.8131 | 0.8058 | [X:[], M:[1.054, 0.73, 0.838, 1.162, 1.054], q:[0.5065, 0.4395], qb:[0.7635, 0.3985], phi:[0.473]] | t^2.19 + t^2.51 + t^2.71 + 2*t^3.16 + t^3.49 + t^3.61 + t^3.81 + t^3.93 + t^4.06 + t^4.13 + t^4.26 + t^4.38 + t^4.46 + t^4.7 + t^4.9 + t^5.03 + t^5.23 + 2*t^5.35 + t^5.43 + 2*t^5.68 + t^5.88 - t^6. - t^4.42/y - t^4.42*y | detail |