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 |
|---|---|---|---|---|---|---|---|---|---|
| 793 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ | 0.7211 | 0.8891 | 0.811 | [X:[], M:[0.9247, 0.9247, 1.0753, 0.774, 0.9247], q:[0.613, 0.4623], qb:[0.4623, 0.613], phi:[0.4623]] | [X:[], M:[[-2], [-2], [2], [-6], [-2]], q:[[3], [-1]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_2$, $ M_5$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_2M_4$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1M_5$, $ M_2M_5$, $ M_5^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_4q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$ | $M_2q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$ | 0 | t^2.32 + 4*t^2.77 + 2*t^3.23 + 3*t^4.16 + 4*t^4.61 + t^4.64 + 3*t^5.07 + 4*t^5.1 + 8*t^5.55 - 2*t^6.45 + 3*t^6.48 + 12*t^6.93 + t^6.97 + 11*t^7.39 + 4*t^7.42 + 5*t^7.84 + 8*t^7.87 - t^8.29 + 12*t^8.32 - 7*t^8.77 + 3*t^8.8 - t^4.39/y - t^6.71/y - (3*t^7.16)/y + (3*t^7.61)/y + t^8.07/y + (4*t^8.1)/y + (8*t^8.55)/y - t^4.39*y - t^6.71*y - 3*t^7.16*y + 3*t^7.61*y + t^8.07*y + 4*t^8.1*y + 8*t^8.55*y | t^2.32/g1^6 + (4*t^2.77)/g1^2 + 2*g1^2*t^3.23 + (3*t^4.16)/g1^3 + 4*g1*t^4.61 + t^4.64/g1^12 + 3*g1^5*t^5.07 + (4*t^5.1)/g1^8 + (8*t^5.55)/g1^4 - 2*g1^4*t^6.45 + (3*t^6.48)/g1^9 + (12*t^6.93)/g1^5 + t^6.97/g1^18 + (11*t^7.39)/g1 + (4*t^7.42)/g1^14 + 5*g1^3*t^7.84 + (8*t^7.87)/g1^10 - g1^7*t^8.29 + (12*t^8.32)/g1^6 - (7*t^8.77)/g1^2 + (3*t^8.8)/g1^15 - t^4.39/(g1*y) - t^6.71/(g1^7*y) - (3*t^7.16)/(g1^3*y) + (3*g1*t^7.61)/y + (g1^5*t^8.07)/y + (4*t^8.1)/(g1^8*y) + (8*t^8.55)/(g1^4*y) - (t^4.39*y)/g1 - (t^6.71*y)/g1^7 - (3*t^7.16*y)/g1^3 + 3*g1*t^7.61*y + g1^5*t^8.07*y + (4*t^8.1*y)/g1^8 + (8*t^8.55*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1271 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_6q_2\tilde{q}_2$ | 0.7284 | 0.9028 | 0.8068 | [X:[], M:[0.9169, 0.9169, 1.0831, 0.7506, 0.9169, 0.9169], q:[0.6247, 0.4584], qb:[0.4584, 0.6247], phi:[0.4584]] | t^2.25 + 5*t^2.75 + t^3.25 + 3*t^4.13 + t^4.5 + 4*t^4.62 + 5*t^5. + 3*t^5.12 + 12*t^5.5 - 3*t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 506 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ | 0.7145 | 0.8771 | 0.8147 | [X:[], M:[0.9328, 0.9328, 1.0672, 0.7984], q:[0.6008, 0.4664], qb:[0.4664, 0.6008], phi:[0.4664]] | t^2.4 + 3*t^2.8 + 3*t^3.2 + 3*t^4.2 + 4*t^4.6 + t^4.79 + 3*t^5. + 3*t^5.19 + 5*t^5.6 + t^6. - t^4.4/y - t^4.4*y | detail |