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 |
|---|---|---|---|---|---|---|---|---|---|
| 4534 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_7$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.7284 | 0.9159 | 0.7953 | [X:[], M:[0.9191, 1.027, 1.0809, 0.8652, 1.0, 0.9461, 0.9191, 0.6752], q:[0.5, 0.5809], qb:[0.4191, 0.5539], phi:[0.4865]] | [X:[], M:[[-6], [2], [6], [-10], [0], [-4], [-6], [13]], q:[[0], [6]], qb:[[-6], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_4$, $ M_1$, $ M_7$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_2$, $ M_8^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_8$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_1M_8$, $ M_7M_8$, $ \phi_1\tilde{q}_2^2$, $ M_6M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_8\phi_1^2$, $ \phi_1q_2^2$, $ M_5M_8$, $ M_2M_8$, $ M_4^2$, $ M_1M_4$, $ M_4M_7$, $ M_4M_6$, $ M_1^2$, $ M_1M_7$, $ M_7^2$, $ M_4\phi_1^2$, $ M_4M_5$, $ M_1M_6$, $ M_6M_7$, $ M_2M_4$, $ M_6^2$, $ M_1\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_5$, $ M_5M_7$, $ M_6\phi_1^2$, $ M_1M_2$, $ M_5M_6$, $ M_2M_7$, $ \phi_1^4$, $ M_2M_6$, $ M_5\phi_1^2$ | . | -2 | t^2.03 + t^2.6 + 2*t^2.76 + t^2.84 + t^2.92 + t^3. + t^3.08 + t^4.05 + t^4.22 + t^4.38 + 2*t^4.46 + 2*t^4.62 + t^4.7 + 3*t^4.78 + 2*t^4.86 + 2*t^4.94 + t^5.03 + t^5.11 + t^5.19 + 2*t^5.35 + t^5.43 + 3*t^5.51 + 2*t^5.6 + 4*t^5.68 + t^5.76 + 3*t^5.84 + t^5.92 - 2*t^6. + t^6.08 - t^6.16 - t^6.24 + t^6.49 + 2*t^6.65 + t^6.73 + 4*t^6.81 + 2*t^6.89 + 4*t^6.97 + t^7.05 + t^7.06 + t^7.13 + 2*t^7.14 + 5*t^7.22 + 3*t^7.3 + 5*t^7.38 + 3*t^7.46 + 6*t^7.54 + 3*t^7.62 + 6*t^7.7 + 3*t^7.78 + t^7.79 + 2*t^7.86 + t^7.94 + 2*t^7.95 - 2*t^8.03 + t^8.1 + 2*t^8.11 + t^8.19 + 5*t^8.27 + t^8.35 + 6*t^8.43 + 3*t^8.51 + t^8.6 + 2*t^8.67 + 3*t^8.68 + t^8.75 - 4*t^8.76 + 3*t^8.83 - 3*t^8.84 - t^8.92 - t^4.46/y - t^6.49/y - t^7.06/y - t^7.22/y - t^7.3/y + (2*t^7.62)/y + t^7.7/y + (2*t^7.78)/y + (2*t^7.86)/y + t^7.94/y + t^8.03/y + t^8.11/y + (2*t^8.35)/y + (2*t^8.43)/y + t^8.51/y + (3*t^8.6)/y + (3*t^8.68)/y + (3*t^8.76)/y + (3*t^8.84)/y + (2*t^8.92)/y - t^4.46*y - t^6.49*y - t^7.06*y - t^7.22*y - t^7.3*y + 2*t^7.62*y + t^7.7*y + 2*t^7.78*y + 2*t^7.86*y + t^7.94*y + t^8.03*y + t^8.11*y + 2*t^8.35*y + 2*t^8.43*y + t^8.51*y + 3*t^8.6*y + 3*t^8.68*y + 3*t^8.76*y + 3*t^8.84*y + 2*t^8.92*y | g1^13*t^2.03 + t^2.6/g1^10 + (2*t^2.76)/g1^6 + t^2.84/g1^4 + t^2.92/g1^2 + t^3. + g1^2*t^3.08 + g1^26*t^4.05 + t^4.22/g1^7 + t^4.38/g1^3 + (2*t^4.46)/g1 + 2*g1^3*t^4.62 + g1^5*t^4.7 + 3*g1^7*t^4.78 + 2*g1^9*t^4.86 + 2*g1^11*t^4.94 + g1^13*t^5.03 + g1^15*t^5.11 + t^5.19/g1^20 + (2*t^5.35)/g1^16 + t^5.43/g1^14 + (3*t^5.51)/g1^12 + (2*t^5.6)/g1^10 + (4*t^5.68)/g1^8 + t^5.76/g1^6 + (3*t^5.84)/g1^4 + t^5.92/g1^2 - 2*t^6. + g1^39*t^6.08 - g1^4*t^6.16 - g1^6*t^6.24 + g1^12*t^6.49 + 2*g1^16*t^6.65 + g1^18*t^6.73 + t^6.81/g1^17 + 3*g1^20*t^6.81 + 2*g1^22*t^6.89 + (2*t^6.97)/g1^13 + 2*g1^24*t^6.97 + g1^26*t^7.05 + t^7.06/g1^11 + g1^28*t^7.13 + (2*t^7.14)/g1^9 + (5*t^7.22)/g1^7 + (3*t^7.3)/g1^5 + (5*t^7.38)/g1^3 + (3*t^7.46)/g1 + 6*g1*t^7.54 + 3*g1^3*t^7.62 + 6*g1^5*t^7.7 + 3*g1^7*t^7.78 + t^7.79/g1^30 + 2*g1^9*t^7.86 + g1^11*t^7.94 + (2*t^7.95)/g1^26 + t^8.03/g1^24 - 3*g1^13*t^8.03 + g1^52*t^8.1 + (3*t^8.11)/g1^22 - g1^15*t^8.11 + (2*t^8.19)/g1^20 - g1^17*t^8.19 + (6*t^8.27)/g1^18 - g1^19*t^8.27 + t^8.35/g1^16 + (6*t^8.43)/g1^14 + (2*t^8.51)/g1^12 + g1^25*t^8.51 + t^8.6/g1^10 + 2*g1^29*t^8.67 + (3*t^8.68)/g1^8 + g1^31*t^8.75 - (4*t^8.76)/g1^6 + 3*g1^33*t^8.83 - (3*t^8.84)/g1^4 - (3*t^8.92)/g1^2 + 2*g1^35*t^8.92 - t^4.46/(g1*y) - (g1^12*t^6.49)/y - t^7.06/(g1^11*y) - t^7.22/(g1^7*y) - t^7.3/(g1^5*y) + (2*g1^3*t^7.62)/y + (g1^5*t^7.7)/y + (2*g1^7*t^7.78)/y + (2*g1^9*t^7.86)/y + (g1^11*t^7.94)/y + (g1^13*t^8.03)/y + (g1^15*t^8.11)/y + (2*t^8.35)/(g1^16*y) + (2*t^8.43)/(g1^14*y) + (2*t^8.51)/(g1^12*y) - (g1^25*t^8.51)/y + (3*t^8.6)/(g1^10*y) + (3*t^8.68)/(g1^8*y) + (3*t^8.76)/(g1^6*y) + (3*t^8.84)/(g1^4*y) + (2*t^8.92)/(g1^2*y) - (t^4.46*y)/g1 - g1^12*t^6.49*y - (t^7.06*y)/g1^11 - (t^7.22*y)/g1^7 - (t^7.3*y)/g1^5 + 2*g1^3*t^7.62*y + g1^5*t^7.7*y + 2*g1^7*t^7.78*y + 2*g1^9*t^7.86*y + g1^11*t^7.94*y + g1^13*t^8.03*y + g1^15*t^8.11*y + (2*t^8.35*y)/g1^16 + (2*t^8.43*y)/g1^14 + (2*t^8.51*y)/g1^12 - g1^25*t^8.51*y + (3*t^8.6*y)/g1^10 + (3*t^8.68*y)/g1^8 + (3*t^8.76*y)/g1^6 + (3*t^8.84*y)/g1^4 + (2*t^8.92*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6038 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_7$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_2M_8$ + $ M_4X_1$ | 0.6567 | 0.8233 | 0.7976 | [X:[1.3333], M:[0.8, 1.0667, 1.2, 0.6667, 1.0, 0.8667, 0.8, 0.9333], q:[0.5, 0.7], qb:[0.3, 0.6333], phi:[0.4667]] | 2*t^2.4 + t^2.6 + 2*t^2.8 + t^3. + t^3.2 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + 3*t^4.8 + 2*t^5. + 6*t^5.2 + 3*t^5.4 + 6*t^5.6 + 2*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 197/300, c: 247/300, X1: 4/3, M1: 4/5, M2: 16/15, M3: 6/5, M4: 2/3, M5: 1, M6: 13/15, M7: 4/5, M8: 14/15, q1: 1/2, q2: 7/10, qb1: 3/10, qb2: 19/30, phi1: 7/15} |
| 6036 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_7$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_8^2$ + $ M_4X_1$ | 0.6287 | 0.7922 | 0.7937 | [X:[1.3846], M:[0.7692, 1.0769, 1.2308, 0.6154, 1.0, 0.8462, 0.7692, 1.0], q:[0.5, 0.7308], qb:[0.2692, 0.6538], phi:[0.4615]] | 2*t^2.31 + t^2.54 + t^2.77 + 2*t^3. + t^3.23 + t^3.69 + 2*t^4.15 + 2*t^4.38 + 2*t^4.62 + 2*t^4.85 + 4*t^5.08 + 4*t^5.31 + 5*t^5.54 + 3*t^5.77 + t^6. - t^4.38/y - t^4.38*y | detail | {a: 22101/35152, c: 27847/35152, X1: 18/13, M1: 10/13, M2: 14/13, M3: 16/13, M4: 8/13, M5: 1, M6: 11/13, M7: 10/13, M8: 1, q1: 1/2, q2: 19/26, qb1: 7/26, qb2: 17/26, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2479 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_7$ | 0.7076 | 0.875 | 0.8086 | [X:[], M:[0.917, 1.0277, 1.083, 0.8617, 1.0, 0.9447, 0.917], q:[0.5, 0.583], qb:[0.417, 0.5553], phi:[0.4862]] | t^2.59 + 2*t^2.75 + t^2.83 + t^2.92 + t^3. + t^3.08 + t^3.96 + t^4.21 + t^4.38 + 2*t^4.46 + t^4.62 + t^4.71 + t^4.79 + t^4.87 + t^4.96 + t^5.17 + 2*t^5.34 + t^5.42 + 3*t^5.5 + 2*t^5.59 + 4*t^5.67 + t^5.75 + 3*t^5.83 + t^5.92 - 2*t^6. - t^4.46/y - t^4.46*y | detail |