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 |
|---|---|---|---|---|---|---|---|---|---|
| 951 | 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_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ | 0.7409 | 0.9251 | 0.8009 | [X:[], M:[1.0, 0.8474, 0.8238, 1.0236, 0.9764, 0.6908], q:[0.5763, 0.4237], qb:[0.5999, 0.5527], phi:[0.4618]] | [X:[], M:[[0, 0], [-4, -4], [-6, -2], [2, -2], [-2, 2], [5, 5]], q:[[2, 2], [-2, -2]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ M_2$, $ \phi_1^2$, $ M_5$, $ M_1$, $ M_4$, $ q_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_6$, $ M_2M_6$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_6\phi_1^2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ \phi_1\tilde{q}_1^2$, $ M_5M_6$, $ M_2M_3$, $ M_1M_6$, $ M_2^2$, $ M_4M_6$, $ M_3\phi_1^2$, $ M_2\phi_1^2$, $ M_3M_5$, $ M_6q_1\tilde{q}_2$, $ M_1M_3$, $ M_2M_5$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_5\phi_1^2$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ M_5^2$, $ M_3q_1\tilde{q}_2$ | . | -2 | t^2.07 + t^2.47 + t^2.54 + t^2.77 + t^2.93 + t^3. + t^3.07 + t^3.39 + t^4.14 + t^4.31 + t^4.39 + t^4.46 + t^4.54 + t^4.61 + t^4.7 + t^4.77 + 3*t^4.84 + t^4.91 + t^4.94 + t^4.99 + t^5. + t^5.01 + t^5.07 + t^5.08 + t^5.14 + t^5.24 + t^5.31 + t^5.4 + t^5.46 + t^5.47 + 2*t^5.54 + t^5.7 + t^5.77 + t^5.84 + t^5.86 - 2*t^6. - t^6.07 + t^6.16 + t^6.22 + t^6.32 + t^6.39 + t^6.62 + t^6.69 + 2*t^6.77 + t^6.79 + t^6.84 + t^6.86 + 3*t^6.92 + t^6.93 + t^6.99 + t^7.01 + t^7.06 + t^7.07 + 2*t^7.09 + t^7.14 + t^7.16 + t^7.17 + t^7.22 + t^7.23 + 2*t^7.24 + 3*t^7.31 + 3*t^7.39 + t^7.41 + t^7.46 + 2*t^7.47 + t^7.48 + 2*t^7.53 + t^7.54 + t^7.56 + 3*t^7.61 + 2*t^7.63 + 2*t^7.7 + t^7.71 + t^7.76 + 3*t^7.77 + t^7.78 + 2*t^7.84 + t^7.86 + t^7.87 + 2*t^7.91 + t^7.94 + t^7.99 - t^8. + 2*t^8.01 + t^8.06 - 4*t^8.07 + t^8.08 + t^8.09 - 2*t^8.14 + t^8.16 + t^8.17 - t^8.21 + 2*t^8.23 + t^8.24 + t^8.29 + 2*t^8.31 + t^8.33 + t^8.39 + t^8.46 - 2*t^8.47 - 3*t^8.54 - t^8.61 + t^8.63 + t^8.69 + t^8.76 - 2*t^8.77 + t^8.79 - t^8.84 + 2*t^8.85 + t^8.92 - 3*t^8.93 + 3*t^8.99 - t^4.39/y - t^6.46/y - t^6.86/y - t^6.93/y - t^7.16/y + t^7.54/y + (2*t^7.61)/y + (2*t^7.84)/y + t^7.91/y + t^8./y + t^8.01/y + t^8.07/y + t^8.14/y + t^8.24/y + (2*t^8.31)/y + t^8.4/y + t^8.46/y + (2*t^8.47)/y - t^8.53/y + (2*t^8.54)/y + t^8.61/y + t^8.7/y + t^8.77/y + t^8.84/y + t^8.86/y + t^8.93/y - t^4.39*y - t^6.46*y - t^6.86*y - t^6.93*y - t^7.16*y + t^7.54*y + 2*t^7.61*y + 2*t^7.84*y + t^7.91*y + t^8.*y + t^8.01*y + t^8.07*y + t^8.14*y + t^8.24*y + 2*t^8.31*y + t^8.4*y + t^8.46*y + 2*t^8.47*y - t^8.53*y + 2*t^8.54*y + t^8.61*y + t^8.7*y + t^8.77*y + t^8.84*y + t^8.86*y + t^8.93*y | g1^5*g2^5*t^2.07 + t^2.47/(g1^6*g2^2) + t^2.54/(g1^4*g2^4) + t^2.77/(g1^2*g2^2) + (g2^2*t^2.93)/g1^2 + t^3. + (g1^2*t^3.07)/g2^2 + g1^2*g2^6*t^3.39 + g1^10*g2^10*t^4.14 + (g2*t^4.31)/g1^3 + t^4.39/(g1*g2) + (g1*t^4.46)/g2^3 + (g2^3*t^4.54)/g1 + g1*g2*t^4.61 + (g2^7*t^4.7)/g1 + g1*g2^5*t^4.77 + 3*g1^3*g2^3*t^4.84 + g1^5*g2*t^4.91 + t^4.94/(g1^12*g2^4) + (g1^7*t^4.99)/g2 + g1^3*g2^7*t^5. + t^5.01/(g1^10*g2^6) + g1^5*g2^5*t^5.07 + t^5.08/(g1^8*g2^8) + g1^7*g2^3*t^5.14 + t^5.24/(g1^8*g2^4) + t^5.31/(g1^6*g2^6) + t^5.4/g1^8 + g1^7*g2^11*t^5.46 + t^5.47/(g1^6*g2^2) + (2*t^5.54)/(g1^4*g2^4) + t^5.7/g1^4 + t^5.77/(g1^2*g2^2) + t^5.84/g2^4 + (g2^4*t^5.86)/g1^4 - 2*t^6. - (g1^2*t^6.07)/g2^2 + g2^4*t^6.16 + g1^15*g2^15*t^6.22 + g2^8*t^6.32 + g1^2*g2^6*t^6.39 + g1^4*g2^8*t^6.62 + g1^6*g2^6*t^6.69 + 2*g1^4*g2^12*t^6.77 + t^6.79/(g1^9*g2) + g1^6*g2^10*t^6.84 + t^6.86/(g1^7*g2^3) + 3*g1^8*g2^8*t^6.92 + t^6.93/(g1^5*g2^5) + g1^10*g2^6*t^6.99 + (g2*t^7.01)/g1^7 + g1^12*g2^4*t^7.06 + g1^8*g2^12*t^7.07 + (2*t^7.09)/(g1^5*g2) + g1^10*g2^10*t^7.14 + t^7.16/(g1^3*g2^3) + (g2^5*t^7.17)/g1^7 + g1^12*g2^8*t^7.22 + t^7.23/(g1*g2^5) + (2*g2^3*t^7.24)/g1^5 + (3*g2*t^7.31)/g1^3 + (3*t^7.39)/(g1*g2) + t^7.41/(g1^18*g2^6) + (g1*t^7.46)/g2^3 + (2*g2^5*t^7.47)/g1^3 + t^7.48/(g1^16*g2^8) + (g1^3*t^7.53)/g2^5 + g1^12*g2^16*t^7.53 + (g2^3*t^7.54)/g1 + t^7.56/(g1^14*g2^10) + 3*g1*g2*t^7.61 + t^7.63/(g1^12*g2^12) + (g2^9*t^7.63)/g1^3 + (2*g2^7*t^7.7)/g1 + t^7.71/(g1^14*g2^6) + (g1^5*t^7.76)/g2^3 + 3*g1*g2^5*t^7.77 + t^7.78/(g1^12*g2^8) + 2*g1^3*g2^3*t^7.84 + t^7.86/(g1^10*g2^10) + t^7.87/(g1^14*g2^2) + 2*g1^5*g2*t^7.91 + t^7.94/(g1^12*g2^4) + (g1^7*t^7.99)/g2 - g1^3*g2^7*t^8. + (2*t^8.01)/(g1^10*g2^6) + (g1^9*t^8.06)/g2^3 - 4*g1^5*g2^5*t^8.07 + t^8.08/(g1^8*g2^8) + g1*g2^13*t^8.09 - 2*g1^7*g2^3*t^8.14 + g1^3*g2^11*t^8.16 + t^8.17/(g1^10*g2^2) - g1^9*g2*t^8.21 + 2*g1^5*g2^9*t^8.23 + t^8.24/(g1^8*g2^4) + g1^20*g2^20*t^8.29 + (2*t^8.31)/(g1^6*g2^6) + (g2^2*t^8.33)/g1^10 + g1^5*g2^13*t^8.39 + g1^7*g2^11*t^8.46 - (2*t^8.47)/(g1^6*g2^2) - (3*t^8.54)/(g1^4*g2^4) - t^8.61/(g1^2*g2^6) + (g2^2*t^8.63)/g1^6 + g1^9*g2^13*t^8.69 + g1^11*g2^11*t^8.76 - (2*t^8.77)/(g1^2*g2^2) + (g2^6*t^8.79)/g1^6 - t^8.84/g2^4 + 2*g1^9*g2^17*t^8.85 + g1^11*g2^15*t^8.92 - (3*g2^2*t^8.93)/g1^2 + 3*g1^13*g2^13*t^8.99 - t^4.39/(g1*g2*y) - (g1^4*g2^4*t^6.46)/y - t^6.86/(g1^7*g2^3*y) - t^6.93/(g1^5*g2^5*y) - t^7.16/(g1^3*g2^3*y) + (g2^3*t^7.54)/(g1*y) + (2*g1*g2*t^7.61)/y + (2*g1^3*g2^3*t^7.84)/y + (g1^5*g2*t^7.91)/y + (g1^3*g2^7*t^8.)/y + t^8.01/(g1^10*g2^6*y) + (g1^5*g2^5*t^8.07)/y + (g1^7*g2^3*t^8.14)/y + t^8.24/(g1^8*g2^4*y) + (2*t^8.31)/(g1^6*g2^6*y) + t^8.4/(g1^8*y) + (g1^7*g2^11*t^8.46)/y + (2*t^8.47)/(g1^6*g2^2*y) - (g1^9*g2^9*t^8.53)/y + (2*t^8.54)/(g1^4*g2^4*y) + t^8.61/(g1^2*g2^6*y) + t^8.7/(g1^4*y) + t^8.77/(g1^2*g2^2*y) + t^8.84/(g2^4*y) + (g2^4*t^8.86)/(g1^4*y) + (g2^2*t^8.93)/(g1^2*y) - (t^4.39*y)/(g1*g2) - g1^4*g2^4*t^6.46*y - (t^6.86*y)/(g1^7*g2^3) - (t^6.93*y)/(g1^5*g2^5) - (t^7.16*y)/(g1^3*g2^3) + (g2^3*t^7.54*y)/g1 + 2*g1*g2*t^7.61*y + 2*g1^3*g2^3*t^7.84*y + g1^5*g2*t^7.91*y + g1^3*g2^7*t^8.*y + (t^8.01*y)/(g1^10*g2^6) + g1^5*g2^5*t^8.07*y + g1^7*g2^3*t^8.14*y + (t^8.24*y)/(g1^8*g2^4) + (2*t^8.31*y)/(g1^6*g2^6) + (t^8.4*y)/g1^8 + g1^7*g2^11*t^8.46*y + (2*t^8.47*y)/(g1^6*g2^2) - g1^9*g2^9*t^8.53*y + (2*t^8.54*y)/(g1^4*g2^4) + (t^8.61*y)/(g1^2*g2^6) + (t^8.7*y)/g1^4 + (t^8.77*y)/(g1^2*g2^2) + (t^8.84*y)/g2^4 + (g2^4*t^8.86*y)/g1^4 + (g2^2*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 1464 | $M_1q_1q_2$ + $ 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_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ | 0.6692 | 0.8294 | 0.8069 | [X:[1.4271], M:[1.0, 0.7083, 0.5729, 1.1353, 0.8647, 0.8647], q:[0.6459, 0.3541], qb:[0.7812, 0.5105], phi:[0.4271]] | t^2.12 + t^2.56 + 2*t^2.59 + t^3. + t^3.41 + t^3.47 + t^3.88 + t^4.25 + 2*t^4.28 + t^4.34 + 2*t^4.69 + t^4.72 + t^4.75 + t^5.12 + 4*t^5.16 + 2*t^5.19 + 2*t^5.56 + t^5.59 + 2*t^5.97 - t^6. - t^4.28/y - t^4.28*y | detail | |
| 1468 | $M_1q_1q_2$ + $ 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_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ M_5M_6$ | 0.6844 | 0.8552 | 0.8003 | [X:[], M:[1.0, 0.6894, 0.8011, 0.8883, 1.1117, 0.8883], q:[0.6553, 0.3447], qb:[0.5436, 0.767], phi:[0.4223]] | t^2.07 + t^2.4 + t^2.53 + 2*t^2.66 + t^3. + t^3.34 + t^3.93 + t^4.14 + 2*t^4.27 + t^4.47 + t^4.53 + 2*t^4.6 + t^4.73 + t^4.81 + t^4.86 + t^4.94 + 3*t^5.07 + 4*t^5.2 + 2*t^5.33 + t^5.4 + 2*t^5.53 + t^5.74 + 2*t^5.87 - t^6. - t^4.27/y - t^4.27*y | detail | |
| 2094 | $M_1q_1q_2$ + $ 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_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ | 0.6006 | 0.757 | 0.7934 | [X:[1.5829], M:[1.0, 0.6685, 0.4171, 1.2513, 0.7487, 0.9144], q:[0.6658, 0.3342], qb:[0.9171, 0.4144], phi:[0.4171]] | t^2.01 + t^2.25 + t^2.5 + t^2.74 + t^3. + t^3.24 + t^3.5 + t^3.74 + t^3.75 + t^4.01 + t^4.25 + t^4.49 + t^4.51 + 3*t^4.75 + t^4.99 + 2*t^5.01 + 3*t^5.25 + 2*t^5.49 + t^5.5 + 3*t^5.74 + 2*t^5.98 - t^4.25/y - t^4.25*y | detail | |
| 2092 | $M_1q_1q_2$ + $ 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_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3X_1$ | 0.6791 | 0.8471 | 0.8017 | [X:[1.3804], M:[1.0, 0.7914, 0.6196, 1.1718, 0.8282, 0.7608], q:[0.6043, 0.3957], qb:[0.7761, 0.4326], phi:[0.4478]] | t^2.28 + t^2.37 + t^2.48 + t^2.69 + t^3. + t^3.11 + t^3.52 + t^3.83 + t^3.94 + t^4.14 + t^4.34 + t^4.45 + t^4.56 + t^4.66 + t^4.75 + t^4.77 + t^4.86 + 3*t^4.97 + t^5.06 + t^5.17 + t^5.28 + t^5.37 + t^5.39 + t^5.48 + t^5.6 + t^5.69 + 2*t^5.8 - t^6. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 598 | 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_4M_5$ + $ M_1^2$ | 0.7203 | 0.8855 | 0.8134 | [X:[], M:[1.0, 0.8402, 0.8171, 1.0231, 0.9769], q:[0.5799, 0.4201], qb:[0.603, 0.5568], phi:[0.4601]] | t^2.45 + t^2.52 + t^2.76 + t^2.93 + t^3. + t^3.07 + t^3.41 + t^3.9 + t^4.31 + t^4.38 + t^4.45 + t^4.72 + t^4.79 + 2*t^4.86 + t^4.9 + t^4.93 + t^4.97 + t^5. + t^5.04 + t^5.21 + t^5.28 + t^5.38 + t^5.45 + 2*t^5.52 + t^5.69 + t^5.76 + t^5.83 + t^5.86 - 2*t^6. - t^4.38/y - t^4.38*y | detail |