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 |
|---|---|---|---|---|---|---|---|---|---|
| 807 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_1M_4$ + $ M_4M_5$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.7171 | 0.8807 | 0.8142 | [X:[], M:[0.9214, 0.9214, 0.9214, 1.0786, 0.9214, 0.9214], q:[0.6179, 0.4607], qb:[0.4607, 0.6179], phi:[0.4607]] | [X:[], M:[[-2, -2], [-8, -4], [4, 0], [2, 2], [-2, -2], [-2, -2]], q:[[6, 4], [-4, -2]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_2$, $ M_1$, $ M_5$, $ M_6$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_3^2$, $ M_2^2$, $ M_1M_2$, $ M_2M_5$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_1M_5$, $ M_5^2$, $ M_1M_6$, $ M_5M_6$, $ M_6^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_1M_3$, $ M_3M_5$, $ M_3M_6$, $ M_3\phi_1^2$ | . | -8 | 6*t^2.76 + t^3.71 + 3*t^4.15 + 4*t^4.62 + 3*t^5.09 + 17*t^5.53 - 8*t^6. + t^6.47 + 14*t^6.91 + 10*t^7.38 + t^7.41 + 6*t^7.85 + 40*t^8.29 - 3*t^8.33 - 33*t^8.76 + 3*t^8.8 - t^4.38/y - (5*t^7.15)/y + (5*t^7.62)/y + (15*t^8.53)/y - t^4.38*y - 5*t^7.15*y + 5*t^7.62*y + 15*t^8.53*y | g1^4*t^2.76 + t^2.76/(g1^8*g2^4) + (4*t^2.76)/(g1^2*g2^2) + g1^6*g2^6*t^3.71 + t^4.15/(g1^9*g2^5) + t^4.15/(g1^3*g2^3) + (g1^3*t^4.15)/g2 + t^4.62/(g1^5*g2) + 2*g1*g2*t^4.62 + g1^7*g2^3*t^4.62 + (g2^3*t^5.09)/g1 + g1^5*g2^5*t^5.09 + g1^11*g2^7*t^5.09 + g1^8*t^5.53 + t^5.53/(g1^16*g2^8) + (3*t^5.53)/(g1^10*g2^6) + (9*t^5.53)/(g1^4*g2^4) + (3*g1^2*t^5.53)/g2^2 - 4*t^6. - (2*t^6.)/(g1^6*g2^2) - 2*g1^6*g2^2*t^6. + g1^4*g2^4*t^6.47 + t^6.91/(g1^17*g2^9) + (4*t^6.91)/(g1^11*g2^7) + (4*t^6.91)/(g1^5*g2^5) + (4*g1*t^6.91)/g2^3 + (g1^7*t^6.91)/g2 + t^7.38/(g1^13*g2^5) + (2*t^7.38)/(g1^7*g2^3) + (4*t^7.38)/(g1*g2) + 2*g1^5*g2*t^7.38 + g1^11*g2^3*t^7.38 + g1^12*g2^12*t^7.41 + t^7.85/(g1^9*g2) + (2*g2*t^7.85)/g1^3 + 2*g1^9*g2^5*t^7.85 + g1^15*g2^7*t^7.85 + g1^12*t^8.29 + t^8.29/(g1^24*g2^12) + (4*t^8.29)/(g1^18*g2^10) + (7*t^8.29)/(g1^12*g2^8) + (16*t^8.29)/(g1^6*g2^6) + (7*t^8.29)/g2^4 + (4*g1^6*t^8.29)/g2^2 - g1*g2^5*t^8.33 - g1^7*g2^7*t^8.33 - g1^13*g2^9*t^8.33 - 8*g1^4*t^8.76 - t^8.76/(g1^14*g2^6) - (8*t^8.76)/(g1^8*g2^4) - (15*t^8.76)/(g1^2*g2^2) - g1^10*g2^2*t^8.76 + g1^5*g2^9*t^8.8 + g1^11*g2^11*t^8.8 + g1^17*g2^13*t^8.8 - t^4.38/(g1*g2*y) - t^7.15/(g1^9*g2^5*y) - (3*t^7.15)/(g1^3*g2^3*y) - (g1^3*t^7.15)/(g2*y) + t^7.62/(g1^5*g2*y) + (3*g1*g2*t^7.62)/y + (g1^7*g2^3*t^7.62)/y + (4*t^8.53)/(g1^10*g2^6*y) + (7*t^8.53)/(g1^4*g2^4*y) + (4*g1^2*t^8.53)/(g2^2*y) - (t^4.38*y)/(g1*g2) - (t^7.15*y)/(g1^9*g2^5) - (3*t^7.15*y)/(g1^3*g2^3) - (g1^3*t^7.15*y)/g2 + (t^7.62*y)/(g1^5*g2) + 3*g1*g2*t^7.62*y + g1^7*g2^3*t^7.62*y + (4*t^8.53*y)/(g1^10*g2^6) + (7*t^8.53*y)/(g1^4*g2^4) + (4*g1^2*t^8.53*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 |
|---|---|---|---|---|---|---|---|---|
| 1286 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_1M_4$ + $ M_4M_5$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_2^2$ | 0.7125 | 0.8748 | 0.8145 | [X:[], M:[0.9361, 1.0, 0.8722, 1.0639, 0.9361, 0.9361], q:[0.5639, 0.5], qb:[0.4361, 0.6278], phi:[0.4681]] | t^2.62 + 4*t^2.81 + t^3. + t^3.58 + t^4.02 + t^4.21 + 2*t^4.4 + 2*t^4.6 + 2*t^4.79 + t^4.98 + t^5.17 + t^5.23 + 3*t^5.42 + 9*t^5.62 + t^5.81 - 3*t^6. - t^4.4/y - t^4.4*y | detail | |
| 1287 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_1M_4$ + $ M_4M_5$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ | 0.7363 | 0.9181 | 0.802 | [X:[], M:[0.9094, 0.9094, 0.9094, 1.0906, 0.9094, 0.9094, 0.7282], q:[0.6359, 0.4547], qb:[0.4547, 0.6359], phi:[0.4547]] | t^2.18 + 6*t^2.73 + 3*t^4.09 + t^4.37 + 4*t^4.64 + 6*t^4.91 + 3*t^5.18 + 17*t^5.46 - 8*t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 517 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_1M_4$ + $ M_4M_5$ | 0.7103 | 0.8687 | 0.8177 | [X:[], M:[0.9326, 0.9326, 0.9326, 1.0674, 0.9326], q:[0.6011, 0.4663], qb:[0.4663, 0.6011], phi:[0.4663]] | 5*t^2.8 + t^3.2 + t^3.61 + 3*t^4.2 + 4*t^4.6 + 3*t^5.01 + 11*t^5.6 - 3*t^6. - t^4.4/y - t^4.4*y | detail |