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 |
|---|---|---|---|---|---|---|---|---|---|
| 829 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_1^2$ | 0.7198 | 0.8791 | 0.8188 | [X:[], M:[1.0, 1.0979, 0.8041, 0.9108, 0.8933, 1.0], q:[0.5446, 0.4554], qb:[0.5446, 0.6513], phi:[0.451]] | [X:[], M:[[0, 0], [2, 2], [-4, -4], [-8, 0], [4, -4], [0, 0]], q:[[4, 0], [-4, 0]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ M_4$, $ M_1$, $ M_6$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ M_3M_4$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_1M_3$, $ M_4M_5$, $ M_3M_6$, $ M_4^2$, $ M_2M_3$, $ M_2M_5$ | $M_1M_6$ | -2 | t^2.41 + t^2.68 + t^2.73 + 2*t^3. + t^3.29 + t^3.59 + t^4.09 + 2*t^4.35 + 3*t^4.62 + t^4.67 + t^4.82 + 2*t^4.94 + t^5.09 + t^5.14 + t^5.26 + t^5.36 + 2*t^5.41 + t^5.46 + t^5.71 + t^5.97 - 2*t^6. + t^6.03 - t^6.27 + 2*t^6.29 - t^6.32 + t^6.5 + t^6.59 + 2*t^6.77 + t^6.82 + t^6.88 + 3*t^7.03 + 3*t^7.09 + t^7.18 + t^7.24 + 3*t^7.3 + 4*t^7.35 + t^7.41 + t^7.5 + t^7.56 + 4*t^7.62 + 2*t^7.67 + t^7.77 + 2*t^7.82 + t^7.88 + t^7.94 + t^7.99 + t^8.04 + t^8.09 + t^8.12 + t^8.17 + t^8.2 + t^8.21 + t^8.26 + t^8.39 - 4*t^8.41 + 3*t^8.44 + t^8.53 + t^8.65 - 6*t^8.68 + 5*t^8.71 - 5*t^8.73 + 2*t^8.76 + t^8.85 + t^8.91 - t^8.95 + 4*t^8.97 - t^4.35/y - t^6.77/y - t^7.03/y - t^7.09/y + t^7.62/y + t^7.67/y + t^7.94/y + t^8.09/y + t^8.14/y + (3*t^8.41)/y + (2*t^8.68)/y + t^8.71/y + (2*t^8.73)/y + t^8.97/y - t^4.35*y - t^6.77*y - t^7.03*y - t^7.09*y + t^7.62*y + t^7.67*y + t^7.94*y + t^8.09*y + t^8.14*y + 3*t^8.41*y + 2*t^8.68*y + t^8.71*y + 2*t^8.73*y + t^8.97*y | t^2.41/(g1^4*g2^4) + (g1^4*t^2.68)/g2^4 + t^2.73/g1^8 + 2*t^3. + g1^2*g2^2*t^3.29 + g1^4*g2^4*t^3.59 + t^4.09/(g1^9*g2) + (2*t^4.35)/(g1*g2) + (3*g1^7*t^4.62)/g2 + (g2^3*t^4.67)/g1^5 + t^4.82/(g1^8*g2^8) + 2*g1^3*g2^3*t^4.94 + t^5.09/g2^8 + t^5.14/(g1^12*g2^4) + (g2^7*t^5.26)/g1 + (g1^8*t^5.36)/g2^8 + (2*t^5.41)/(g1^4*g2^4) + t^5.46/g1^16 + t^5.71/(g1^2*g2^2) + (g1^6*t^5.97)/g2^2 - 2*t^6. + (g2^2*t^6.03)/g1^6 - g1^8*t^6.27 + 2*g1^2*g2^2*t^6.29 - (g2^4*t^6.32)/g1^4 + t^6.5/(g1^13*g2^5) + g1^4*g2^4*t^6.59 + (2*t^6.77)/(g1^5*g2^5) + t^6.82/(g1^17*g2) + g1^6*g2^6*t^6.88 + (3*g1^3*t^7.03)/g2^5 + (3*t^7.09)/(g1^9*g2) + g1^8*g2^8*t^7.18 + t^7.24/(g1^12*g2^12) + (3*g1^11*t^7.3)/g2^5 + (4*t^7.35)/(g1*g2) + (g2^3*t^7.41)/g1^13 + t^7.5/(g1^4*g2^12) + t^7.56/(g1^16*g2^8) + (4*g1^7*t^7.62)/g2 + (2*g2^3*t^7.67)/g1^5 + (g1^4*t^7.77)/g2^12 + (2*t^7.82)/(g1^8*g2^8) + t^7.88/(g1^20*g2^4) + g1^3*g2^3*t^7.94 + (g2^7*t^7.99)/g1^9 + (g1^12*t^8.04)/g2^12 + t^8.09/g2^8 + t^8.12/(g1^6*g2^6) + t^8.17/(g1^18*g2^2) + t^8.2/g1^24 + g1^11*g2^3*t^8.21 + (g2^7*t^8.26)/g1 + (g1^2*t^8.39)/g2^6 - (4*t^8.41)/(g1^4*g2^4) + (3*t^8.44)/(g1^10*g2^2) + g1^7*g2^7*t^8.53 + (g1^10*t^8.65)/g2^6 - (6*g1^4*t^8.68)/g2^4 + (5*t^8.71)/(g1^2*g2^2) - (5*t^8.73)/g1^8 + (2*g2^2*t^8.76)/g1^14 + g1^3*g2^11*t^8.85 + t^8.91/(g1^17*g2^9) - (g1^12*t^8.95)/g2^4 + (4*g1^6*t^8.97)/g2^2 - t^4.35/(g1*g2*y) - t^6.77/(g1^5*g2^5*y) - (g1^3*t^7.03)/(g2^5*y) - t^7.09/(g1^9*g2*y) + (g1^7*t^7.62)/(g2*y) + (g2^3*t^7.67)/(g1^5*y) + (g1^3*g2^3*t^7.94)/y + t^8.09/(g2^8*y) + t^8.14/(g1^12*g2^4*y) + (3*t^8.41)/(g1^4*g2^4*y) + (2*g1^4*t^8.68)/(g2^4*y) + t^8.71/(g1^2*g2^2*y) + (2*t^8.73)/(g1^8*y) + (g1^6*t^8.97)/(g2^2*y) - (t^4.35*y)/(g1*g2) - (t^6.77*y)/(g1^5*g2^5) - (g1^3*t^7.03*y)/g2^5 - (t^7.09*y)/(g1^9*g2) + (g1^7*t^7.62*y)/g2 + (g2^3*t^7.67*y)/g1^5 + g1^3*g2^3*t^7.94*y + (t^8.09*y)/g2^8 + (t^8.14*y)/(g1^12*g2^4) + (3*t^8.41*y)/(g1^4*g2^4) + (2*g1^4*t^8.68*y)/g2^4 + (t^8.71*y)/(g1^2*g2^2) + (2*t^8.73*y)/g1^8 + (g1^6*t^8.97*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1304 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_1^2$ + $ M_3M_4$ | 0.6992 | 0.8563 | 0.8165 | [X:[], M:[1.0, 1.0272, 0.9457, 1.0543, 0.8914, 1.0], q:[0.4728, 0.5272], qb:[0.4728, 0.5815], phi:[0.4864]] | t^2.67 + t^2.84 + 2*t^3. + t^3.08 + 2*t^3.16 + 3*t^4.3 + 2*t^4.46 + 3*t^4.62 + t^4.79 + t^4.95 + t^5.35 + t^5.51 + t^5.67 + t^5.76 + t^5.84 + t^5.92 - t^6. - t^4.46/y - t^4.46*y | detail | |
| 1308 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_1^2$ + $ M_3M_5$ | 0.699 | 0.8561 | 0.8165 | [X:[], M:[1.0, 1.0262, 0.9476, 0.8953, 1.0524, 1.0], q:[0.5524, 0.4476], qb:[0.5524, 0.5], phi:[0.4869]] | t^2.69 + t^2.84 + 2*t^3. + t^3.08 + 2*t^3.16 + t^4.15 + t^4.3 + 3*t^4.46 + 2*t^4.62 + 3*t^4.77 + t^5.37 + t^5.53 + t^5.69 + t^5.76 + t^5.84 + t^5.92 - t^6. - t^4.46/y - t^4.46*y | detail | |
| 1309 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_1^2$ + $ M_4^2$ | 0.7138 | 0.8725 | 0.8181 | [X:[], M:[1.0, 1.0782, 0.8436, 1.0, 0.8436, 1.0], q:[0.5, 0.5], qb:[0.5, 0.6564], phi:[0.4609]] | 2*t^2.53 + 3*t^3. + t^3.23 + t^3.47 + 6*t^4.38 + 3*t^4.85 + 3*t^5.06 + t^5.32 + 3*t^5.53 + 2*t^5.77 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 1305 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_1^2$ + $ M_5^2$ | 0.7124 | 0.8709 | 0.818 | [X:[], M:[1.0, 1.0712, 0.8576, 0.8576, 1.0, 1.0], q:[0.5712, 0.4288], qb:[0.5712, 0.5712], phi:[0.4644]] | 2*t^2.57 + 3*t^3. + t^3.21 + t^3.43 + t^3.97 + 3*t^4.39 + 6*t^4.82 + 3*t^5.15 + 3*t^5.57 + 2*t^5.79 - 2*t^6. - t^4.39/y - t^4.39*y | detail | |
| 1311 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_1^2$ + $ M_7q_1\tilde{q}_2$ | 0.737 | 0.9112 | 0.8089 | [X:[], M:[1.0, 1.1144, 0.7712, 0.8973, 0.8739, 1.0, 0.7712], q:[0.5513, 0.4487], qb:[0.5513, 0.6775], phi:[0.4428]] | 2*t^2.31 + t^2.62 + t^2.69 + 2*t^3. + t^3.34 + t^4.02 + 2*t^4.33 + 3*t^4.63 + 3*t^4.64 + t^4.71 + 2*t^4.94 + 4*t^5.01 + t^5.24 + 4*t^5.31 + t^5.38 + t^5.39 + 2*t^5.66 + t^5.96 - 3*t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 534 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ | 0.7331 | 0.8939 | 0.8201 | [X:[], M:[0.8539, 1.1461, 0.8539, 0.8539, 0.8539, 1.0], q:[0.6461, 0.5], qb:[0.5, 0.6461], phi:[0.427]] | 4*t^2.56 + t^3. + t^3.44 + t^3.88 + 3*t^4.28 + 4*t^4.72 + 10*t^5.12 + 3*t^5.16 - 3*t^6. - t^4.28/y - t^4.28*y | detail |