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 |
|---|---|---|---|---|---|---|---|---|---|
| 50868 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_5M_6$ + $ M_7\phi_1^2$ | 0.6961 | 0.8501 | 0.8189 | [X:[], M:[1.0244, 0.9267, 0.9756, 1.0244, 0.9756, 1.0244, 1.0244], q:[0.5122, 0.4634], qb:[0.5611, 0.5122], phi:[0.4878]] | [X:[], M:[[4, 12], [-20, 4], [-4, -12], [8, -8], [-8, 8], [8, -8], [6, 2]], q:[[4, -4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-3, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_4$, $ M_6$, $ M_7$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_7$ | $M_3M_4$, $ M_3M_6$, $ M_3M_7$, $ M_2\tilde{q}_1\tilde{q}_2$ | -1 | t^2.78 + t^2.93 + 4*t^3.07 + t^3.22 + t^4.24 + 2*t^4.39 + 4*t^4.54 + 2*t^4.68 + t^4.83 + t^5.56 + t^5.85 - t^6. + 6*t^6.15 + 3*t^6.29 + t^6.44 + t^7.02 + 2*t^7.17 + 4*t^7.32 + 4*t^7.46 + 8*t^7.61 + 6*t^7.76 + 4*t^7.9 + t^8.05 + t^8.34 + t^8.49 + 3*t^8.63 - t^8.78 - t^8.93 - t^4.46/y - t^7.24/y + t^7.39/y - t^7.54/y + t^7.68/y + t^8.71/y + (4*t^8.85)/y - t^4.46*y - t^7.24*y + t^7.39*y - t^7.54*y + t^7.68*y + t^8.71*y + 4*t^8.85*y | (g2^4*t^2.78)/g1^20 + t^2.93/(g1^4*g2^12) + (2*g1^8*t^3.07)/g2^8 + g1^6*g2^2*t^3.07 + g1^4*g2^12*t^3.07 + g1^16*g2^16*t^3.22 + t^4.24/(g1^19*g2^17) + t^4.39/(g1^7*g2^13) + (g2^7*t^4.39)/g1^11 + (2*g1^5*t^4.54)/g2^9 + g1*g2^11*t^4.54 + (g2^31*t^4.54)/g1^3 + (g1^17*t^4.68)/g2^5 + g1^13*g2^15*t^4.68 + (g1^29*t^4.83)/g2 + (g2^8*t^5.56)/g1^40 + (g2^6*t^5.85)/g1^14 - 3*t^6. + (g1^4*t^6.)/g2^20 + (g1^2*t^6.)/g2^10 + (2*g1^16*t^6.15)/g2^16 + (2*g1^14*t^6.15)/g2^6 + g1^12*g2^4*t^6.15 + g1^10*g2^14*t^6.15 + g1^24*g2^8*t^6.29 + g1^22*g2^18*t^6.29 + g1^20*g2^28*t^6.29 + g1^32*g2^32*t^6.44 + t^7.02/(g1^39*g2^13) + t^7.17/(g1^23*g2^29) + (g2^11*t^7.17)/g1^31 + (2*t^7.32)/(g1^11*g2^25) + t^7.32/(g1^15*g2^5) + (g2^35*t^7.32)/g1^23 + (2*g1*t^7.46)/g2^21 + t^7.46/(g1^3*g2) + (g2^19*t^7.46)/g1^7 + (3*g1^13*t^7.61)/g2^17 + 2*g1^9*g2^3*t^7.61 + 2*g1^5*g2^23*t^7.61 + g1*g2^43*t^7.61 + (2*g1^25*t^7.76)/g2^13 + 2*g1^21*g2^7*t^7.76 + g1^17*g2^27*t^7.76 + g1^13*g2^47*t^7.76 + (2*g1^37*t^7.9)/g2^9 + g1^33*g2^11*t^7.9 + g1^29*g2^31*t^7.9 + g1^45*g2^15*t^8.05 + (g2^12*t^8.34)/g1^60 + t^8.49/(g1^38*g2^34) + t^8.63/g1^32 + t^8.63/(g1^26*g2^30) - t^8.63/(g1^28*g2^20) + t^8.63/(g1^30*g2^10) + (g2^10*t^8.63)/g1^34 + (2*t^8.78)/(g1^14*g2^26) - (2*t^8.78)/(g1^16*g2^16) + t^8.78/(g1^18*g2^6) - (3*g2^4*t^8.78)/g1^20 + (g2^14*t^8.78)/g1^22 + (2*t^8.93)/(g1^2*g2^22) - (4*t^8.93)/(g1^4*g2^12) + (2*t^8.93)/(g1^6*g2^2) - (2*g2^8*t^8.93)/g1^8 + (g2^18*t^8.93)/g1^10 - (g2^28*t^8.93)/g1^12 + (g2^38*t^8.93)/g1^14 - t^4.46/(g1^3*g2*y) - (g2^3*t^7.24)/(g1^23*y) + (g2^7*t^7.39)/(g1^11*y) - (g1^5*t^7.54)/(g2^9*y) + (g1^17*t^7.68)/(g2^5*y) + t^8.71/(g1^24*g2^8*y) + (2*t^8.85)/(g1^12*g2^4*y) + (g2^6*t^8.85)/(g1^14*y) + (g2^16*t^8.85)/(g1^16*y) - (t^4.46*y)/(g1^3*g2) - (g2^3*t^7.24*y)/g1^23 + (g2^7*t^7.39*y)/g1^11 - (g1^5*t^7.54*y)/g2^9 + (g1^17*t^7.68*y)/g2^5 + (t^8.71*y)/(g1^24*g2^8) + (2*t^8.85*y)/(g1^12*g2^4) + (g2^6*t^8.85*y)/g1^14 + (g2^16*t^8.85*y)/g1^16 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56097 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_5M_6$ + $ M_7\phi_1^2$ + $ M_2^2$ | 0.6926 | 0.8483 | 0.8165 | [X:[], M:[1.0256, 1.0, 0.9744, 0.9872, 1.0128, 0.9872, 1.0064], q:[0.4936, 0.4808], qb:[0.5064, 0.532], phi:[0.4968]] | t^2.92 + 2*t^2.96 + t^3. + t^3.02 + t^3.08 + t^3.12 + t^4.38 + t^4.41 + 2*t^4.45 + t^4.49 + 2*t^4.53 + t^4.57 + t^4.61 + t^4.68 + t^5.88 + 2*t^5.92 + t^5.94 + 2*t^5.98 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
| 56098 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_5M_6$ + $ M_7\phi_1^2$ + $ M_8\tilde{q}_1\tilde{q}_2$ | 0.7056 | 0.8666 | 0.8143 | [X:[], M:[1.0553, 0.898, 0.9447, 1.0233, 0.9767, 1.0233, 1.0393, 0.866], q:[0.5117, 0.433], qb:[0.5903, 0.5437], phi:[0.4803]] | t^2.6 + t^2.69 + t^2.83 + 2*t^3.07 + t^3.12 + t^3.17 + t^4.04 + t^4.28 + t^4.37 + 2*t^4.51 + t^4.61 + t^4.7 + t^4.75 + t^4.84 + t^4.98 + t^5.2 + t^5.29 + t^5.39 + t^5.43 + 2*t^5.67 + t^5.72 + t^5.76 + t^5.81 + t^5.9 + t^5.95 - 3*t^6. - t^4.44/y - t^4.44*y | detail | |
| 56096 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_5M_6$ + $ M_7\phi_1^2$ + $ \phi_1\tilde{q}_2^2$ | 0.6376 | 0.7908 | 0.8063 | [X:[], M:[1.1941, 1.0624, 0.8059, 0.8717, 1.1283, 0.8717, 1.0329], q:[0.4359, 0.37], qb:[0.5017, 0.7582], phi:[0.4835]] | t^2.42 + 2*t^2.62 + t^3.1 + t^3.19 + t^3.58 + t^3.67 + t^3.78 + t^3.87 + 2*t^4.07 + t^4.26 + t^4.46 + t^4.84 + 2*t^5.03 + 3*t^5.23 + t^5.52 + 2*t^5.71 - 2*t^6. - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47177 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_5M_6$ | 0.6987 | 0.854 | 0.8181 | [X:[], M:[1.0303, 0.9091, 0.9697, 1.0303, 0.9697, 1.0303], q:[0.5152, 0.4545], qb:[0.5758, 0.5152], phi:[0.4848]] | t^2.73 + 2*t^2.91 + 3*t^3.09 + t^3.27 + t^4.18 + 2*t^4.36 + 4*t^4.55 + 2*t^4.73 + t^4.91 + t^5.45 + t^5.64 + 2*t^5.82 + t^6. - t^4.45/y - t^4.45*y | detail | {a: 2029/2904, c: 310/363, M1: 34/33, M2: 10/11, M3: 32/33, M4: 34/33, M5: 32/33, M6: 34/33, q1: 17/33, q2: 5/11, qb1: 19/33, qb2: 17/33, phi1: 16/33} |