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 |
|---|---|---|---|---|---|---|---|---|---|
| 405 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3M_4$ | 0.6359 | 0.8017 | 0.7932 | [X:[], M:[1.1522, 0.6956, 0.6739, 1.3261], q:[0.75, 0.4239], qb:[0.4239, 0.4022], phi:[0.5]] | [X:[], M:[[2], [-4], [-1], [1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_2q_1\tilde{q}_2$, $ M_2q_1q_2$, $ M_2q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $q_1q_2^2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | -1 | t^2.09 + 2*t^2.48 + t^3. + 2*t^3.46 + 2*t^3.52 + 2*t^3.98 + 3*t^4.04 + t^4.17 + 2*t^4.57 + 3*t^4.96 + t^5.09 + 2*t^5.48 + 2*t^5.54 + 2*t^5.61 + 2*t^5.93 - t^6. + 3*t^6.13 + t^6.26 + 4*t^6.46 + 4*t^6.52 + 2*t^6.65 + 2*t^6.91 + 2*t^6.98 + 5*t^7.04 + t^7.17 + 4*t^7.43 + 2*t^7.5 + 4*t^7.57 + 2*t^7.63 + 2*t^7.7 + 2*t^7.96 + 4*t^8.02 + 4*t^8.09 + 3*t^8.22 + t^8.35 + 2*t^8.41 - 4*t^8.48 + 4*t^8.61 + 2*t^8.74 + 4*t^8.93 - t^4.5/y - t^6.59/y + t^7.04/y + (2*t^7.57)/y + t^8.09/y + t^8.41/y + (2*t^8.48)/y + (2*t^8.54)/y + (2*t^8.61)/y - t^8.67/y + (4*t^8.93)/y - t^4.5*y - t^6.59*y + t^7.04*y + 2*t^7.57*y + t^8.09*y + t^8.41*y + 2*t^8.48*y + 2*t^8.54*y + 2*t^8.61*y - t^8.67*y + 4*t^8.93*y | t^2.09/g1^4 + 2*g1*t^2.48 + t^3. + 2*g1^2*t^3.46 + (2*t^3.52)/g1 + 2*g1*t^3.98 + (3*t^4.04)/g1^2 + t^4.17/g1^8 + (2*t^4.57)/g1^3 + 3*g1^2*t^4.96 + t^5.09/g1^4 + 2*g1*t^5.48 + (2*t^5.54)/g1^2 + (2*t^5.61)/g1^5 + 2*g1^3*t^5.93 - t^6. + (3*t^6.13)/g1^6 + t^6.26/g1^12 + 4*g1^2*t^6.46 + (4*t^6.52)/g1 + (2*t^6.65)/g1^7 + 2*g1^4*t^6.91 + 2*g1*t^6.98 + (5*t^7.04)/g1^2 + t^7.17/g1^8 + 4*g1^3*t^7.43 + 2*t^7.5 + (4*t^7.57)/g1^3 + (2*t^7.63)/g1^6 + (2*t^7.7)/g1^9 + 2*g1^2*t^7.96 + (4*t^8.02)/g1 + (4*t^8.09)/g1^4 + (3*t^8.22)/g1^10 + t^8.35/g1^16 + 2*g1^4*t^8.41 - 4*g1*t^8.48 + (4*t^8.61)/g1^5 + (2*t^8.74)/g1^11 + 4*g1^3*t^8.93 - t^4.5/y - t^6.59/(g1^4*y) + t^7.04/(g1^2*y) + (2*t^7.57)/(g1^3*y) + t^8.09/(g1^4*y) + (g1^4*t^8.41)/y + (2*g1*t^8.48)/y + (2*t^8.54)/(g1^2*y) + (2*t^8.61)/(g1^5*y) - t^8.67/(g1^8*y) + (4*g1^3*t^8.93)/y - t^4.5*y - (t^6.59*y)/g1^4 + (t^7.04*y)/g1^2 + (2*t^7.57*y)/g1^3 + (t^8.09*y)/g1^4 + g1^4*t^8.41*y + 2*g1*t^8.48*y + (2*t^8.54*y)/g1^2 + (2*t^8.61*y)/g1^5 - (t^8.67*y)/g1^8 + 4*g1^3*t^8.93*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 1835 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5q_1q_2$ | 0.6509 | 0.8273 | 0.7868 | [X:[], M:[1.1451, 0.7098, 0.6774, 1.3226, 0.8226], q:[0.75, 0.4274], qb:[0.4274, 0.3951], phi:[0.5]] | t^2.13 + 3*t^2.47 + t^3. + 2*t^3.44 + t^3.53 + 2*t^3.97 + 3*t^4.06 + t^4.26 + 3*t^4.6 + 6*t^4.94 + t^5.13 + 3*t^5.47 + 2*t^5.56 + t^5.66 + 4*t^5.9 - 2*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 253 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6567 | 0.8429 | 0.7791 | [X:[], M:[1.1526, 0.6948, 0.6737], q:[0.75, 0.4237], qb:[0.4237, 0.4026], phi:[0.5]] | t^2.02 + t^2.08 + 2*t^2.48 + t^3. + 2*t^3.46 + 2*t^3.52 + t^3.98 + 4*t^4.04 + t^4.11 + t^4.17 + 2*t^4.5 + 2*t^4.56 + 3*t^4.96 + t^5.02 + t^5.08 + 4*t^5.48 + 4*t^5.54 + 2*t^5.61 + 2*t^5.94 - t^4.5/y - t^4.5*y | detail |