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 |
|---|---|---|---|---|---|---|---|---|---|
| 763 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ + $ M_5M_6$ | 0.6052 | 0.7542 | 0.8024 | [X:[1.4621], M:[1.0006, 0.5379, 0.7674, 0.7686, 0.9994, 1.0006], q:[0.6912, 0.9245], qb:[0.3082, 0.5389], phi:[0.3843]] | [X:[[0, 1]], M:[[8, -5], [0, -1], [-20, 12], [-4, 2], [-8, 5], [8, -5]], 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 |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ M_6$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ X_1$, $ M_3^2$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_3$, $ M_3M_6$, $ M_1M_4$, $ M_4M_6$, $ M_1\phi_1^2$, $ M_6\phi_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$ | $M_1^2$, $ M_1M_6$, $ M_6^2$, $ M_4q_1\tilde{q}_2$ | 0 | t^2.3 + 2*t^2.31 + t^2.54 + 2*t^3. + t^3.69 + 2*t^4.39 + t^4.6 + 5*t^4.61 + t^4.84 + 3*t^4.85 + t^5.08 + t^5.3 + 3*t^5.31 + 2*t^5.54 + t^5.99 + t^6.23 - 2*t^6.46 + 4*t^6.69 + 6*t^6.91 + 4*t^6.92 + 2*t^6.93 + 6*t^7.15 - t^7.16 + t^7.38 + 3*t^7.39 + 6*t^7.61 + t^7.62 + 2*t^7.85 + 2*t^8.08 + t^8.29 - t^8.3 - 3*t^8.31 + t^8.53 - 3*t^8.54 - 3*t^8.76 + t^8.77 + 2*t^8.78 + 3*t^8.99 - t^4.15/y - (3*t^6.46)/y + (3*t^7.61)/y + t^7.84/y + (5*t^7.85)/y + (2*t^8.3)/y + (4*t^8.31)/y + (2*t^8.54)/y - (6*t^8.76)/y + t^8.99/y - t^4.15*y - 3*t^6.46*y + 3*t^7.61*y + t^7.84*y + 5*t^7.85*y + 2*t^8.3*y + 4*t^8.31*y + 2*t^8.54*y - 6*t^8.76*y + t^8.99*y | (g2^12*t^2.3)/g1^20 + (2*g2^2*t^2.31)/g1^4 + (g1^6*t^2.54)/g2^3 + (2*g1^8*t^3.)/g2^5 + (g2^8*t^3.69)/g1^12 + (g1^16*t^4.39)/g2^9 + g2*t^4.39 + (g2^24*t^4.6)/g1^40 + (3*g2^4*t^4.61)/g1^8 + (2*g2^14*t^4.61)/g1^24 + (g2^9*t^4.84)/g1^14 + (3*g1^2*t^4.85)/g2 + (g1^12*t^5.08)/g2^6 + (g2^7*t^5.3)/g1^12 + (3*g1^4*t^5.31)/g2^3 + (2*g1^14*t^5.54)/g2^8 + (g2^20*t^5.99)/g1^32 - 3*t^6. + (2*g1^16*t^6.)/g2^10 + (g2^10*t^6.)/g1^16 + (g2^5*t^6.23)/g1^6 - (g1^2*t^6.46)/g2^2 - (g2^8*t^6.46)/g1^14 + (3*g2^3*t^6.69)/g1^4 + (g2^13*t^6.69)/g1^20 + (3*g2^16*t^6.91)/g1^28 + (2*g2^26*t^6.91)/g1^44 + (g2^36*t^6.91)/g1^60 + (4*g2^6*t^6.92)/g1^12 + (g1^22*t^6.93)/g2^12 + (g1^6*t^6.93)/g2^2 + (3*g2*t^7.15)/g1^2 + (2*g2^11*t^7.15)/g1^18 + (g2^21*t^7.15)/g1^34 - (g1^14*t^7.16)/g2^9 + (g2^16*t^7.38)/g1^24 + (g1^24*t^7.39)/g2^14 + (2*g1^8*t^7.39)/g2^4 + (4*t^7.61)/g2 + (g2^9*t^7.61)/g1^16 + (g2^19*t^7.61)/g1^32 + (g1^18*t^7.62)/g2^9 + (3*g1^10*t^7.85)/g2^6 - (g2^4*t^7.85)/g1^6 + (g1^20*t^8.08)/g2^11 + (g2^9*t^8.08)/g1^12 + (g2^32*t^8.29)/g1^52 - (2*g2^12*t^8.3)/g1^20 + (g2^22*t^8.3)/g1^36 + (2*g1^12*t^8.31)/g2^8 - (5*g2^2*t^8.31)/g1^4 + (g2^17*t^8.53)/g1^26 + (g1^22*t^8.54)/g2^13 - (5*g1^6*t^8.54)/g2^3 + (g2^7*t^8.54)/g1^10 - (2*g2^10*t^8.76)/g1^18 - (g2^20*t^8.76)/g1^34 - t^8.77/g1^2 + 2*g2^2*t^8.77 + (g1^32*t^8.78)/g2^18 + (g1^16*t^8.78)/g2^8 + (2*g2^15*t^8.99)/g1^24 + (g2^25*t^8.99)/g1^40 - (g2*t^4.15)/(g1^2*y) - (2*g2^3*t^6.46)/(g1^6*y) - (g2^13*t^6.46)/(g1^22*y) - (g1^6*t^7.15)/(g2^4*y) + (g2^6*t^7.15)/(g1^10*y) + (g2^4*t^7.61)/(g1^8*y) + (2*g2^14*t^7.61)/(g1^24*y) + (g2^9*t^7.84)/(g1^14*y) + (g1^18*t^7.85)/(g2^11*y) + (4*g1^2*t^7.85)/(g2*y) + (2*g2^7*t^8.3)/(g1^12*y) + (4*g1^4*t^8.31)/(g2^3*y) + (2*g1^14*t^8.54)/(g2^8*y) - (3*g2^5*t^8.76)/(g1^10*y) - (2*g2^15*t^8.76)/(g1^26*y) - (g2^25*t^8.76)/(g1^42*y) + (g2^20*t^8.99)/(g1^32*y) - (g2*t^4.15*y)/g1^2 - (2*g2^3*t^6.46*y)/g1^6 - (g2^13*t^6.46*y)/g1^22 - (g1^6*t^7.15*y)/g2^4 + (g2^6*t^7.15*y)/g1^10 + (g2^4*t^7.61*y)/g1^8 + (2*g2^14*t^7.61*y)/g1^24 + (g2^9*t^7.84*y)/g1^14 + (g1^18*t^7.85*y)/g2^11 + (4*g1^2*t^7.85*y)/g2 + (2*g2^7*t^8.3*y)/g1^12 + (4*g1^4*t^8.31*y)/g2^3 + (2*g1^14*t^8.54*y)/g2^8 - (3*g2^5*t^8.76*y)/g1^10 - (2*g2^15*t^8.76*y)/g1^26 - (g2^25*t^8.76*y)/g1^42 + (g2^20*t^8.99*y)/g1^32 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1995 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ + $ M_5M_6$ + $ M_7q_1\tilde{q}_2$ | 0.6243 | 0.7889 | 0.7913 | [X:[1.4964], M:[0.9868, 0.5036, 0.7848, 0.7584, 1.0132, 0.9868, 0.732], q:[0.7094, 0.9114], qb:[0.3038, 0.5586], phi:[0.3792]] | t^2.2 + 2*t^2.28 + t^2.35 + t^2.59 + 2*t^2.96 + t^4.39 + t^4.41 + 2*t^4.47 + t^4.49 + 4*t^4.55 + 2*t^4.63 + t^4.71 + t^4.78 + 3*t^4.86 + t^4.94 + 2*t^5.16 + t^5.17 + 3*t^5.24 + t^5.31 + 2*t^5.55 + 2*t^5.92 - 3*t^6. - t^4.14/y - t^4.14*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 |
|---|---|---|---|---|---|---|---|---|---|
| 474 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ | 0.606 | 0.7574 | 0.8002 | [X:[1.4386], M:[1.0179, 0.5614, 0.736, 0.7718, 0.9821], q:[0.6661, 0.948], qb:[0.316, 0.5264], phi:[0.3859]] | t^2.21 + 2*t^2.32 + t^2.53 + t^2.95 + t^3.05 + t^3.58 + t^4.32 + 2*t^4.42 + 2*t^4.52 + 3*t^4.63 + t^4.74 + 3*t^4.84 + t^5.05 + t^5.15 + 2*t^5.26 + t^5.37 + t^5.47 + t^5.58 + t^5.79 + 2*t^5.89 - 2*t^6. - t^4.16/y - t^4.16*y | detail |