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 |
|---|---|---|---|---|---|---|---|---|---|
| 3982 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1q_2\tilde{q}_2$ | 0.6757 | 0.8438 | 0.8008 | [X:[1.357], M:[1.0243, 1.0953, 1.1664, 0.9757, 0.643, 0.8336, 0.7626, 0.714], q:[0.7738, 0.3925], qb:[0.5832, 0.4411], phi:[0.4523]] | [X:[[6]], M:[[-22], [-4], [14], [22], [-6], [-14], [-32], [12]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_7$, $ M_6$, $ M_4$, $ M_1$, $ M_2$, $ M_3$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ X_1$, $ M_8^2$, $ \phi_1q_2\tilde{q}_1$, $ M_7M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7^2$, $ M_6M_8$, $ M_6M_7$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_4M_8$, $ M_4M_7$, $ M_1M_8$, $ M_1M_7$, $ M_4M_6$, $ M_2M_8$, $ M_1M_6$, $ M_2M_7$, $ M_3M_8$, $ M_2M_6$, $ M_3M_7$, $ M_8q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$ | . | -1 | t^2.14 + t^2.29 + t^2.5 + t^2.93 + t^3.07 + t^3.29 + t^3.5 + t^3.64 + t^4. + t^4.07 + 2*t^4.28 + 2*t^4.43 + t^4.58 + t^4.64 + t^4.79 + t^4.86 + t^5. + t^5.07 + 2*t^5.21 + t^5.36 + t^5.43 + t^5.57 + t^5.64 + 3*t^5.79 + t^5.93 - t^6. + 2*t^6.15 + t^6.21 + t^6.29 + t^6.36 + 2*t^6.43 + t^6.5 + 4*t^6.57 + 3*t^6.72 + t^6.86 + 2*t^6.93 + t^7. + 2*t^7.08 + 2*t^7.14 + t^7.21 + 2*t^7.29 + 2*t^7.36 + 3*t^7.5 + 2*t^7.57 + 2*t^7.65 + t^7.72 + t^7.78 + t^7.86 + 3*t^7.93 + t^8.01 + 4*t^8.07 - 2*t^8.14 + t^8.22 + t^8.29 + t^8.36 + 3*t^8.43 + 2*t^8.57 + t^8.58 + 2*t^8.65 + 2*t^8.71 + t^8.79 + 5*t^8.86 - 2*t^8.93 - t^4.36/y - t^6.5/y - t^6.64/y + t^7.43/y + t^7.64/y + t^7.79/y + (2*t^8.07)/y + (3*t^8.21)/y + t^8.36/y + (2*t^8.43)/y + (2*t^8.57)/y + (2*t^8.79)/y - t^4.36*y - t^6.5*y - t^6.64*y + t^7.43*y + t^7.64*y + t^7.79*y + 2*t^8.07*y + 3*t^8.21*y + t^8.36*y + 2*t^8.43*y + 2*t^8.57*y + 2*t^8.79*y | g1^12*t^2.14 + t^2.29/g1^32 + t^2.5/g1^14 + g1^22*t^2.93 + t^3.07/g1^22 + t^3.29/g1^4 + g1^14*t^3.5 + t^3.64/g1^30 + t^4./g1^56 + g1^6*t^4.07 + 2*g1^24*t^4.28 + (2*t^4.43)/g1^20 + t^4.58/g1^64 + t^4.64/g1^2 + t^4.79/g1^46 + g1^16*t^4.86 + t^5./g1^28 + g1^34*t^5.07 + (2*t^5.21)/g1^10 + t^5.36/g1^54 + g1^8*t^5.43 + t^5.57/g1^36 + g1^26*t^5.64 + (3*t^5.79)/g1^18 + t^5.93/g1^62 - t^6. + (2*t^6.15)/g1^44 + g1^18*t^6.21 + t^6.29/g1^88 + t^6.36/g1^26 + 2*g1^36*t^6.43 + t^6.5/g1^70 + (4*t^6.57)/g1^8 + (3*t^6.72)/g1^52 + t^6.86/g1^96 + (2*t^6.93)/g1^34 + g1^28*t^7. + (2*t^7.08)/g1^78 + (2*t^7.14)/g1^16 + g1^46*t^7.21 + (2*t^7.29)/g1^60 + 2*g1^2*t^7.36 + (3*t^7.5)/g1^42 + 2*g1^20*t^7.57 + (2*t^7.65)/g1^86 + t^7.72/g1^24 + g1^38*t^7.78 + t^7.86/g1^68 + (3*t^7.93)/g1^6 + t^8.01/g1^112 + (4*t^8.07)/g1^50 - 2*g1^12*t^8.14 + t^8.22/g1^94 + t^8.29/g1^32 + g1^30*t^8.36 + (3*t^8.43)/g1^76 + 2*g1^48*t^8.57 + t^8.58/g1^120 + (2*t^8.65)/g1^58 + 2*g1^4*t^8.71 + t^8.79/g1^102 + (5*t^8.86)/g1^40 - 2*g1^22*t^8.93 - (g1^2*t^4.36)/y - (g1^14*t^6.5)/y - t^6.64/(g1^30*y) + t^7.43/(g1^20*y) + t^7.64/(g1^2*y) + t^7.79/(g1^46*y) + (2*g1^34*t^8.07)/y + (3*t^8.21)/(g1^10*y) + t^8.36/(g1^54*y) + (2*g1^8*t^8.43)/y + (2*t^8.57)/(g1^36*y) + (2*t^8.79)/(g1^18*y) - g1^2*t^4.36*y - g1^14*t^6.5*y - (t^6.64*y)/g1^30 + (t^7.43*y)/g1^20 + (t^7.64*y)/g1^2 + (t^7.79*y)/g1^46 + 2*g1^34*t^8.07*y + (3*t^8.21*y)/g1^10 + (t^8.36*y)/g1^54 + 2*g1^8*t^8.43*y + (2*t^8.57*y)/g1^36 + (2*t^8.79*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5530 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1q_2\tilde{q}_2$ + $ M_2M_9$ | 0.6844 | 0.8582 | 0.7975 | [X:[1.3562], M:[1.0272, 1.0959, 1.1645, 0.9728, 0.6438, 0.8355, 0.7668, 0.7124, 0.9041], q:[0.774, 0.3906], qb:[0.5823, 0.4449], phi:[0.4521]] | t^2.14 + t^2.3 + t^2.51 + t^2.71 + t^2.92 + t^3.08 + t^3.49 + t^3.66 + t^4.03 + t^4.07 + 2*t^4.27 + 2*t^4.44 + t^4.6 + t^4.64 + t^4.81 + 2*t^4.85 + 2*t^5.01 + t^5.06 + 3*t^5.22 + t^5.38 + t^5.42 + 2*t^5.63 + 3*t^5.79 + t^5.96 - t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1596 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ | 0.6555 | 0.806 | 0.8132 | [X:[1.3577], M:[1.0217, 1.0949, 1.168, 0.9783, 0.6423, 0.832, 0.7588], q:[0.7737, 0.3943], qb:[0.584, 0.4377], phi:[0.4526]] | t^2.28 + t^2.5 + t^2.93 + t^3.07 + t^3.28 + t^3.5 + t^3.63 + t^3.85 + t^3.98 + t^4.07 + t^4.29 + t^4.42 + t^4.55 + t^4.77 + t^4.86 + t^4.99 + t^5.21 + t^5.34 + t^5.56 + 2*t^5.78 + t^5.91 - t^6. - t^4.36/y - t^4.36*y | detail |