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 |
|---|---|---|---|---|---|---|---|---|---|
| 1855 | 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_3M_5$ + $ M_6q_1\tilde{q}_2$ | 0.6058 | 0.7557 | 0.8017 | [X:[1.4759], M:[0.9867, 0.5241, 1.0133, 0.7954, 0.9867, 0.742], q:[0.7122, 0.9035], qb:[0.3012, 0.5458], phi:[0.3844]] | [X:[[0, 1]], M:[[8, -5], [0, -1], [-8, 5], [-20, 12], [8, -5], [12, -8]], q:[[-13, 8], [15, -9]], qb:[[5, -3], [1, 0]], phi:[[-2, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ \phi_1^2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ X_1$, $ M_6^2$, $ M_6\phi_1^2$, $ M_4M_6$, $ \phi_1^4$, $ M_4\phi_1^2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_6$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_1M_4$, $ M_4M_5$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -2 | t^2.23 + t^2.31 + t^2.39 + t^2.54 + 2*t^2.96 + t^3.69 + t^4.35 + t^4.43 + t^4.45 + t^4.53 + 2*t^4.61 + t^4.69 + 2*t^4.77 + 2*t^4.85 + t^4.93 + t^5.08 + 2*t^5.19 + t^5.27 + t^5.35 + 2*t^5.5 + 3*t^5.92 - 2*t^6. + t^6.23 - t^6.42 - t^6.5 + t^6.57 + 2*t^6.65 + t^6.68 + t^6.76 + t^6.81 + 2*t^6.84 + t^6.89 + 2*t^6.92 + t^6.97 + t^6.99 + 2*t^7. + t^7.07 + t^7.08 + t^7.15 + t^7.16 + t^7.23 + 3*t^7.31 + 2*t^7.39 + 2*t^7.41 + t^7.49 + 2*t^7.57 + t^7.62 + 3*t^7.73 + t^7.81 - t^7.89 + 2*t^8.04 + 3*t^8.15 - 2*t^8.23 - t^8.31 - 3*t^8.39 + 2*t^8.46 - 3*t^8.54 - t^8.62 - t^8.65 + t^8.7 - t^8.73 + 2*t^8.78 + t^8.8 - t^8.81 + t^8.86 + 4*t^8.88 - t^8.89 + t^8.9 - 5*t^8.96 + t^8.98 - t^4.15/y - t^6.38/y - t^6.46/y - t^6.54/y - t^7.11/y + t^7.19/y + t^7.53/y + t^7.61/y + t^7.69/y + (2*t^7.77)/y + (2*t^7.85)/y + (2*t^7.93)/y + (2*t^8.19)/y + (2*t^8.27)/y + (2*t^8.35)/y + (2*t^8.5)/y - t^8.61/y - t^8.69/y - (2*t^8.77)/y - t^8.85/y + (2*t^8.92)/y - t^8.93/y - t^4.15*y - t^6.38*y - t^6.46*y - t^6.54*y - t^7.11*y + t^7.19*y + t^7.53*y + t^7.61*y + t^7.69*y + 2*t^7.77*y + 2*t^7.85*y + 2*t^7.93*y + 2*t^8.19*y + 2*t^8.27*y + 2*t^8.35*y + 2*t^8.5*y - t^8.61*y - t^8.69*y - 2*t^8.77*y - t^8.85*y + 2*t^8.92*y - t^8.93*y | (g1^12*t^2.23)/g2^8 + (g2^2*t^2.31)/g1^4 + (g2^12*t^2.39)/g1^20 + (g1^6*t^2.54)/g2^3 + (2*g1^8*t^2.96)/g2^5 + (g1^4*t^3.69)/g2^2 + (g1^16*t^4.35)/g2^9 + g2*t^4.43 + (g1^24*t^4.45)/g2^16 + (g1^8*t^4.53)/g2^6 + (2*g2^4*t^4.61)/g1^8 + (g2^14*t^4.69)/g1^24 + (g1^18*t^4.77)/g2^11 + (g2^24*t^4.77)/g1^40 + (2*g1^2*t^4.85)/g2 + (g2^9*t^4.93)/g1^14 + (g1^12*t^5.08)/g2^6 + (2*g1^20*t^5.19)/g2^13 + (g1^4*t^5.27)/g2^3 + (g2^7*t^5.35)/g1^12 + (2*g1^14*t^5.5)/g2^8 + (3*g1^16*t^5.92)/g2^10 - 2*t^6. + (g1^10*t^6.23)/g2^5 - (g1^2*t^6.42)/g2^2 - (g2^8*t^6.5)/g1^14 + (g1^28*t^6.57)/g2^17 + (2*g1^12*t^6.65)/g2^7 + (g1^36*t^6.68)/g2^24 + (g1^20*t^6.76)/g2^14 + (g2^13*t^6.81)/g1^20 + (2*g1^4*t^6.84)/g2^4 + (g1^22*t^6.89)/g2^12 + (2*g2^6*t^6.92)/g1^12 + (g1^6*t^6.97)/g2^2 + (g1^30*t^6.99)/g2^19 + (2*g2^16*t^7.)/g1^28 + (g1^14*t^7.07)/g2^9 + (g2^26*t^7.08)/g1^44 + (g2*t^7.15)/g1^2 + (g2^36*t^7.16)/g1^60 + (g2^11*t^7.23)/g1^18 + (2*g1^24*t^7.31)/g2^14 + (g2^21*t^7.31)/g1^34 + (2*g1^8*t^7.39)/g2^4 + (2*g1^32*t^7.41)/g2^21 + (g1^16*t^7.49)/g2^11 + (2*t^7.57)/g2 + (g1^18*t^7.62)/g2^9 + (2*g1^26*t^7.73)/g2^16 + (g2^19*t^7.73)/g1^32 + (g1^10*t^7.81)/g2^6 - (g2^4*t^7.89)/g1^6 + (2*g1^20*t^8.04)/g2^11 + (3*g1^28*t^8.15)/g2^18 - (2*g1^12*t^8.23)/g2^8 - (g2^2*t^8.31)/g1^4 - (3*g2^12*t^8.39)/g1^20 + (2*g1^22*t^8.46)/g2^13 - (3*g1^6*t^8.54)/g2^3 - (g2^7*t^8.62)/g1^10 - (g1^14*t^8.65)/g2^10 + (g1^32*t^8.7)/g2^18 - t^8.73/g1^2 + (2*g1^16*t^8.78)/g2^8 + (g1^40*t^8.8)/g2^25 - (g2^10*t^8.81)/g1^18 + g2^2*t^8.86 + (4*g1^24*t^8.88)/g2^15 - (g2^20*t^8.89)/g1^34 + (g1^48*t^8.9)/g2^32 - (5*g1^8*t^8.96)/g2^5 + (g1^32*t^8.98)/g2^22 - (g2*t^4.15)/(g1^2*y) - (g1^10*t^6.38)/(g2^7*y) - (g2^3*t^6.46)/(g1^6*y) - (g2^13*t^6.54)/(g1^22*y) - (g1^6*t^7.11)/(g2^4*y) + (g2^6*t^7.19)/(g1^10*y) + (g1^8*t^7.53)/(g2^6*y) + (g2^4*t^7.61)/(g1^8*y) + (g2^14*t^7.69)/(g1^24*y) + (2*g1^18*t^7.77)/(g2^11*y) + (2*g1^2*t^7.85)/(g2*y) + (2*g2^9*t^7.93)/(g1^14*y) + (2*g1^20*t^8.19)/(g2^13*y) + (2*g1^4*t^8.27)/(g2^3*y) + (2*g2^7*t^8.35)/(g1^12*y) + (2*g1^14*t^8.5)/(g2^8*y) - (g1^22*t^8.61)/(g2^15*y) - (g1^6*t^8.69)/(g2^5*y) - (2*g2^5*t^8.77)/(g1^10*y) - (g2^15*t^8.85)/(g1^26*y) + (2*g1^16*t^8.92)/(g2^10*y) - (g2^25*t^8.93)/(g1^42*y) - (g2*t^4.15*y)/g1^2 - (g1^10*t^6.38*y)/g2^7 - (g2^3*t^6.46*y)/g1^6 - (g2^13*t^6.54*y)/g1^22 - (g1^6*t^7.11*y)/g2^4 + (g2^6*t^7.19*y)/g1^10 + (g1^8*t^7.53*y)/g2^6 + (g2^4*t^7.61*y)/g1^8 + (g2^14*t^7.69*y)/g1^24 + (2*g1^18*t^7.77*y)/g2^11 + (2*g1^2*t^7.85*y)/g2 + (2*g2^9*t^7.93*y)/g1^14 + (2*g1^20*t^8.19*y)/g2^13 + (2*g1^4*t^8.27*y)/g2^3 + (2*g2^7*t^8.35*y)/g1^12 + (2*g1^14*t^8.5*y)/g2^8 - (g1^22*t^8.61*y)/g2^15 - (g1^6*t^8.69*y)/g2^5 - (2*g2^5*t^8.77*y)/g1^10 - (g2^15*t^8.85*y)/g1^26 + (2*g1^16*t^8.92*y)/g2^10 - (g2^25*t^8.93*y)/g1^42 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2872 | $\phi_1q_1q_2$ + $ 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_3M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6^2$ | 0.566 | 0.7123 | 0.7946 | [X:[1.2385], M:[1.0795, 0.7615, 0.9205, 0.682, 1.0795, 1.0], q:[0.591, 0.9885], qb:[0.3295, 0.409], phi:[0.4205]] | t^2.05 + t^2.22 + t^2.52 + t^3. + 2*t^3.24 + t^3.48 + t^3.72 + t^4.09 + t^4.19 + t^4.26 + t^4.43 + t^4.57 + 2*t^4.74 + 2*t^5.05 + t^5.22 + t^5.28 + 2*t^5.45 + t^5.52 + t^5.69 + 2*t^5.76 + t^5.93 - t^6. - t^4.26/y - t^4.26*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 |
|---|---|---|---|---|---|---|---|---|---|
| 480 | 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_3M_5$ | 0.5873 | 0.7232 | 0.8121 | [X:[1.4354], M:[1.0024, 0.5646, 0.9976, 0.7764, 1.0024], q:[0.6917, 0.9177], qb:[0.3059, 0.5224], phi:[0.3906]] | t^2.33 + t^2.34 + t^2.48 + 2*t^3.01 + t^3.64 + t^3.66 + t^4.31 + t^4.32 + t^4.66 + t^4.67 + t^4.69 + t^4.81 + 2*t^4.83 + t^4.97 + t^5.34 + t^5.35 + 2*t^5.49 + t^5.97 + t^5.99 - 2*t^6. - t^4.17/y - t^4.17*y | detail |