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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[-6], [2], [6], [-10], [0], [-4], [-6]], q:[[0], [6]], qb:[[-6], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_7$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ 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^2.59 + 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^6.17 - 2*t^6.25 - t^6.41 - t^6.5 + t^6.55 + 2*t^6.71 + 2*t^6.79 + t^6.88 + 3*t^6.96 + 2*t^7.04 + 2*t^7.13 + 4*t^7.21 + 3*t^7.29 + 3*t^7.38 + 2*t^7.46 + 3*t^7.54 + t^7.62 + 2*t^7.71 + t^7.76 + 2*t^7.79 - t^7.87 + 3*t^7.92 + t^8. - t^8.04 + 3*t^8.09 - t^8.12 + 3*t^8.17 + 6*t^8.25 + 2*t^8.34 + 8*t^8.42 + 2*t^8.5 + 2*t^8.59 + 4*t^8.67 - 3*t^8.75 - 3*t^8.83 - 2*t^8.92 - t^4.46/y - t^7.04/y - t^7.21/y - t^7.29/y + t^7.62/y + t^7.71/y + t^7.87/y + (2*t^8.34)/y + t^8.42/y + (2*t^8.5)/y + (3*t^8.59)/y + (3*t^8.67)/y + (3*t^8.75)/y + (3*t^8.83)/y + (2*t^8.92)/y - t^4.46*y - t^7.04*y - t^7.21*y - t^7.29*y + t^7.62*y + t^7.71*y + t^7.87*y + 2*t^8.34*y + t^8.42*y + 2*t^8.5*y + 3*t^8.59*y + 3*t^8.67*y + 3*t^8.75*y + 3*t^8.83*y + 2*t^8.92*y | t^2.59/g1^10 + (2*t^2.75)/g1^6 + t^2.83/g1^4 + t^2.92/g1^2 + t^3. + g1^2*t^3.08 + t^3.96/g1^13 + t^4.21/g1^7 + t^4.38/g1^3 + (2*t^4.46)/g1 + g1^3*t^4.62 + g1^5*t^4.71 + g1^7*t^4.79 + g1^9*t^4.87 + g1^11*t^4.96 + t^5.17/g1^20 + (2*t^5.34)/g1^16 + t^5.42/g1^14 + (3*t^5.5)/g1^12 + (2*t^5.59)/g1^10 + (4*t^5.67)/g1^8 + t^5.75/g1^6 + (3*t^5.83)/g1^4 + t^5.92/g1^2 - 2*t^6. - g1^4*t^6.17 - 2*g1^6*t^6.25 - g1^10*t^6.41 - g1^12*t^6.5 + t^6.55/g1^23 + (2*t^6.71)/g1^19 + (2*t^6.79)/g1^17 + t^6.88/g1^15 + (3*t^6.96)/g1^13 + (2*t^7.04)/g1^11 + (2*t^7.13)/g1^9 + (4*t^7.21)/g1^7 + (3*t^7.29)/g1^5 + (3*t^7.38)/g1^3 + (2*t^7.46)/g1 + 3*g1*t^7.54 + g1^3*t^7.62 + 2*g1^5*t^7.71 + t^7.76/g1^30 + 2*g1^7*t^7.79 - g1^9*t^7.87 + (3*t^7.92)/g1^26 + t^8./g1^24 - g1^13*t^8.04 + (3*t^8.09)/g1^22 - g1^15*t^8.12 + (3*t^8.17)/g1^20 + (6*t^8.25)/g1^18 + (2*t^8.34)/g1^16 + (8*t^8.42)/g1^14 + (2*t^8.5)/g1^12 + (2*t^8.59)/g1^10 + (4*t^8.67)/g1^8 - (3*t^8.75)/g1^6 - (3*t^8.83)/g1^4 - (2*t^8.92)/g1^2 - t^4.46/(g1*y) - t^7.04/(g1^11*y) - t^7.21/(g1^7*y) - t^7.29/(g1^5*y) + (g1^3*t^7.62)/y + (g1^5*t^7.71)/y + (g1^9*t^7.87)/y + (2*t^8.34)/(g1^16*y) + t^8.42/(g1^14*y) + (2*t^8.5)/(g1^12*y) + (3*t^8.59)/(g1^10*y) + (3*t^8.67)/(g1^8*y) + (3*t^8.75)/(g1^6*y) + (3*t^8.83)/(g1^4*y) + (2*t^8.92)/(g1^2*y) - (t^4.46*y)/g1 - (t^7.04*y)/g1^11 - (t^7.21*y)/g1^7 - (t^7.29*y)/g1^5 + g1^3*t^7.62*y + g1^5*t^7.71*y + g1^9*t^7.87*y + (2*t^8.34*y)/g1^16 + (t^8.42*y)/g1^14 + (2*t^8.5*y)/g1^12 + (3*t^8.59*y)/g1^10 + (3*t^8.67*y)/g1^8 + (3*t^8.75*y)/g1^6 + (3*t^8.83*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 |
|---|---|---|---|---|---|---|---|---|
| 4532 | $M_1q_1q_2$ + $ 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_2M_8$ | 0.7102 | 0.8804 | 0.8067 | [X:[], M:[0.9108, 1.0297, 1.0892, 0.8513, 1.0, 0.9405, 0.9108, 0.9703], q:[0.5, 0.5892], qb:[0.4108, 0.5595], phi:[0.4851]] | t^2.55 + 2*t^2.73 + t^2.82 + 2*t^2.91 + t^3. + t^3.92 + t^4.19 + t^4.37 + 2*t^4.46 + t^4.63 + t^4.72 + t^4.81 + t^4.9 + t^4.99 + t^5.11 + 2*t^5.29 + t^5.38 + 4*t^5.46 + 2*t^5.55 + 5*t^5.64 + 2*t^5.73 + 3*t^5.82 + t^5.91 - 3*t^6. - t^4.46/y - t^4.46*y | detail | |
| 4534 | $M_1q_1q_2$ + $ 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]] | 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^4.46/y - t^4.46*y | detail | |
| 4531 | $M_1q_1q_2$ + $ 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_1^2$ | 0.7051 | 0.8701 | 0.8103 | [X:[], M:[0.9234, 1.0255, 1.0766, 0.8723, 1.0, 0.9489, 0.9234, 1.0255], q:[0.5, 0.5766], qb:[0.4234, 0.5511], phi:[0.4872]] | t^2.62 + 2*t^2.77 + t^2.85 + t^3. + 2*t^3.08 + t^4. + t^4.23 + t^4.39 + 2*t^4.46 + t^4.61 + t^4.69 + t^4.77 + t^4.84 + t^4.92 + t^5.23 + 2*t^5.39 + t^5.46 + 2*t^5.54 + 2*t^5.62 + 3*t^5.69 + 4*t^5.85 + t^5.92 - 3*t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1425 | 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$ | 0.7007 | 0.8617 | 0.8132 | [X:[], M:[0.9356, 1.0215, 1.0644, 0.8927, 1.0, 0.9571], q:[0.5, 0.5644], qb:[0.4356, 0.5429], phi:[0.4893]] | t^2.68 + t^2.81 + t^2.87 + t^2.94 + t^3. + t^3.06 + t^3.19 + t^4.08 + t^4.27 + t^4.4 + 2*t^4.47 + t^4.6 + t^4.66 + t^4.73 + t^4.79 + t^4.85 + t^5.36 + t^5.48 + t^5.55 + t^5.61 + t^5.68 + 3*t^5.74 + 3*t^5.87 + t^5.94 - t^6. - t^4.47/y - t^4.47*y | detail |