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 |
|---|---|---|---|---|---|---|---|---|---|
| 1468 | 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$ + $ 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]] | [X:[], M:[[0], [4], [9], [-5], [5], [-5]], q:[[-2], [2]], qb:[[-7], [3]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ \phi_1^2$, $ M_4$, $ M_6$, $ M_1$, $ M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_2^2$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ M_2M_3$, $ \phi_1\tilde{q}_1^2$, $ M_2\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_2M_6$, $ M_3^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1^4$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_1M_3$, $ M_2M_5$, $ M_1\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_5$, $ M_5\phi_1^2$, $ \phi_1\tilde{q}_2^2$ | . | -1 | 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^6.2 + t^6.34 + t^6.47 + t^6.54 + t^6.6 + 3*t^6.67 + 2*t^6.8 + t^6.87 + 2*t^6.93 + 2*t^7.01 + t^7.06 + 3*t^7.14 + 2*t^7.19 + t^7.21 + 4*t^7.27 + t^7.34 + t^7.4 + 3*t^7.47 + 2*t^7.53 + 6*t^7.6 + 3*t^7.73 + t^7.81 + 5*t^7.86 + 3*t^7.94 + t^7.99 - 2*t^8.07 + t^8.14 + 2*t^8.2 + 3*t^8.27 - 2*t^8.33 + t^8.46 + 3*t^8.53 + t^8.61 - 7*t^8.66 + 2*t^8.74 + t^8.8 + 3*t^8.87 + t^8.94 - t^4.27/y - t^6.34/y - t^6.67/y - t^6.8/y - t^6.93/y + t^7.47/y + (2*t^7.6)/y + (3*t^7.73)/y + t^7.86/y + t^7.94/y + (3*t^8.07)/y + (3*t^8.2)/y + t^8.33/y + t^8.4/y + t^8.53/y + (2*t^8.66)/y - t^4.27*y - t^6.34*y - t^6.67*y - t^6.8*y - t^6.93*y + t^7.47*y + 2*t^7.6*y + 3*t^7.73*y + t^7.86*y + t^7.94*y + 3*t^8.07*y + 3*t^8.2*y + t^8.33*y + t^8.4*y + t^8.53*y + 2*t^8.66*y | g1^4*t^2.07 + g1^9*t^2.4 + g1^2*t^2.53 + (2*t^2.66)/g1^5 + t^3. + g1^5*t^3.34 + t^3.93/g1^4 + g1^8*t^4.14 + 2*g1*t^4.27 + g1^13*t^4.47 + t^4.53/g1^13 + 2*g1^6*t^4.6 + t^4.73/g1 + g1^18*t^4.81 + t^4.86/g1^8 + g1^11*t^4.94 + 3*g1^4*t^5.07 + (4*t^5.2)/g1^3 + (2*t^5.33)/g1^10 + g1^9*t^5.4 + 2*g1^2*t^5.53 + g1^14*t^5.74 + 2*g1^7*t^5.87 - t^6. + g1^12*t^6.2 + g1^5*t^6.34 + t^6.47/g1^2 + g1^17*t^6.54 + t^6.6/g1^9 + 3*g1^10*t^6.67 + 2*g1^3*t^6.8 + g1^22*t^6.87 + (2*t^6.93)/g1^4 + 2*g1^15*t^7.01 + t^7.06/g1^11 + 3*g1^8*t^7.14 + (2*t^7.19)/g1^18 + g1^27*t^7.21 + 4*g1*t^7.27 + g1^20*t^7.34 + t^7.4/g1^6 + 3*g1^13*t^7.47 + (2*t^7.53)/g1^13 + 6*g1^6*t^7.6 + (3*t^7.73)/g1 + g1^18*t^7.81 + (5*t^7.86)/g1^8 + 3*g1^11*t^7.94 + t^7.99/g1^15 - 2*g1^4*t^8.07 + g1^23*t^8.14 + (2*t^8.2)/g1^3 + 3*g1^16*t^8.27 - (2*t^8.33)/g1^10 + t^8.46/g1^17 + 3*g1^2*t^8.53 + g1^21*t^8.61 - (7*t^8.66)/g1^5 + 2*g1^14*t^8.74 + t^8.8/g1^12 + 3*g1^7*t^8.87 + g1^26*t^8.94 - (g1*t^4.27)/y - (g1^5*t^6.34)/y - (g1^10*t^6.67)/y - (g1^3*t^6.8)/y - t^6.93/(g1^4*y) + (g1^13*t^7.47)/y + (2*g1^6*t^7.6)/y + (3*t^7.73)/(g1*y) + t^7.86/(g1^8*y) + (g1^11*t^7.94)/y + (3*g1^4*t^8.07)/y + (3*t^8.2)/(g1^3*y) + t^8.33/(g1^10*y) + (g1^9*t^8.4)/y + (g1^2*t^8.53)/y + (2*t^8.66)/(g1^5*y) - g1*t^4.27*y - g1^5*t^6.34*y - g1^10*t^6.67*y - g1^3*t^6.8*y - (t^6.93*y)/g1^4 + g1^13*t^7.47*y + 2*g1^6*t^7.6*y + (3*t^7.73*y)/g1 + (t^7.86*y)/g1^8 + g1^11*t^7.94*y + 3*g1^4*t^8.07*y + (3*t^8.2*y)/g1^3 + (t^8.33*y)/g1^10 + g1^9*t^8.4*y + g1^2*t^8.53*y + (2*t^8.66*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2587 | $M_1q_1q_2$ + $ 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$ + $ M_5M_7$ | 0.6951 | 0.8732 | 0.796 | [X:[], M:[1.0, 0.7009, 0.827, 0.8739, 1.1261, 0.8739, 0.8739], q:[0.6496, 0.3504], qb:[0.5234, 0.7757], phi:[0.4252]] | t^2.1 + t^2.48 + t^2.55 + 3*t^2.62 + t^3. + t^3.9 + t^4.21 + 2*t^4.28 + t^4.42 + t^4.58 + 2*t^4.65 + 2*t^4.72 + t^4.79 + t^4.96 + t^5.03 + 4*t^5.1 + 5*t^5.17 + 5*t^5.24 + 2*t^5.55 + t^5.62 + t^5.93 - 3*t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.39/y - t^4.39*y | detail |