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 |
|---|---|---|---|---|---|---|---|---|---|
| 948 | 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_5M_6$ | 0.7195 | 0.8834 | 0.8145 | [X:[], M:[1.0, 0.8368, 0.844, 0.9927, 1.0073, 0.9927], q:[0.5816, 0.4184], qb:[0.5744, 0.5889], phi:[0.4592]] | [X:[], M:[[0, 0], [-4, -4], [-6, -2], [2, -2], [-2, 2], [2, -2]], q:[[2, 2], [-2, -2]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
| 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$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_2M_4$, $ M_2M_6$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1^4$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_1\phi_1^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$ | . | -3 | t^2.51 + t^2.53 + t^2.76 + 2*t^2.98 + t^3. + t^3.51 + t^3.89 + t^4.36 + t^4.38 + t^4.4 + t^4.82 + t^4.85 + 2*t^4.87 + t^4.89 + t^4.91 + t^5.02 + t^5.04 + t^5.06 + t^5.27 + t^5.29 + t^5.49 + 3*t^5.51 + 2*t^5.73 + t^5.76 + 2*t^5.96 - 3*t^6. - t^6.02 + t^6.27 + t^6.4 + t^6.42 - t^6.47 + t^6.64 + 2*t^6.87 + 2*t^6.89 + t^6.91 + t^6.93 + t^7.02 + t^7.11 + t^7.15 + 2*t^7.33 + 2*t^7.36 + 2*t^7.38 + 2*t^7.4 + t^7.42 + t^7.44 + t^7.53 + t^7.55 + t^7.57 + t^7.58 + t^7.6 + t^7.62 + t^7.67 + 2*t^7.78 + 3*t^7.8 + 3*t^7.82 + 2*t^7.85 + t^7.87 + t^7.89 + t^7.91 + t^8. + 2*t^8.02 + 2*t^8.04 - t^8.07 - t^8.09 - 2*t^8.11 - t^8.13 - t^8.16 + 2*t^8.24 + 4*t^8.27 + t^8.29 + t^8.38 + t^8.4 + t^8.42 + t^8.47 + 2*t^8.49 - 3*t^8.51 - 4*t^8.53 - t^8.55 + 3*t^8.71 + t^8.73 - t^8.76 + t^8.8 + t^8.91 + 3*t^8.93 + t^8.95 - t^8.96 - 7*t^8.98 - t^4.38/y - t^6.89/y - t^6.91/y - t^7.13/y - t^7.36/y + t^7.4/y + t^7.62/y + t^7.85/y + t^7.87/y + t^8.04/y + t^8.27/y + t^8.29/y + (2*t^8.49)/y + (3*t^8.51)/y + t^8.53/y + (2*t^8.73)/y + t^8.76/y + t^8.96/y + (2*t^8.98)/y - t^4.38*y - t^6.89*y - t^6.91*y - t^7.13*y - t^7.36*y + t^7.4*y + t^7.62*y + t^7.85*y + t^7.87*y + t^8.04*y + t^8.27*y + t^8.29*y + 2*t^8.49*y + 3*t^8.51*y + t^8.53*y + 2*t^8.73*y + t^8.76*y + t^8.96*y + 2*t^8.98*y | t^2.51/(g1^4*g2^4) + t^2.53/(g1^6*g2^2) + t^2.76/(g1^2*g2^2) + (2*g1^2*t^2.98)/g2^2 + t^3. + g1^2*g2^6*t^3.51 + t^3.89/(g1^5*g2^5) + (g1*t^4.36)/g2^3 + t^4.38/(g1*g2) + (g2*t^4.4)/g1^3 + (g1^7*t^4.82)/g2 + g1^5*g2*t^4.85 + 2*g1^3*g2^3*t^4.87 + g1*g2^5*t^4.89 + (g2^7*t^4.91)/g1 + t^5.02/(g1^8*g2^8) + t^5.04/(g1^10*g2^6) + t^5.06/(g1^12*g2^4) + t^5.27/(g1^6*g2^6) + t^5.29/(g1^8*g2^4) + t^5.49/(g1^2*g2^6) + (3*t^5.51)/(g1^4*g2^4) + (2*t^5.73)/g2^4 + t^5.76/(g1^2*g2^2) + (2*g1^4*t^5.96)/g2^4 - 3*t^6. - (g2^2*t^6.02)/g1^2 + g2^4*t^6.27 + t^6.4/(g1^9*g2^9) + t^6.42/(g1^11*g2^7) - g1^6*g2^2*t^6.47 + t^6.64/(g1^7*g2^7) + (2*t^6.87)/(g1^3*g2^7) + (2*t^6.89)/(g1^5*g2^5) + t^6.91/(g1^7*g2^3) + t^6.93/(g1^9*g2) + g1^4*g2^12*t^7.02 + t^7.11/(g1*g2^5) + t^7.15/(g1^5*g2) + (2*g1^3*t^7.33)/g2^5 + (2*g1*t^7.36)/g2^3 + (2*t^7.38)/(g1*g2) + (2*g2*t^7.4)/g1^3 + (g2^3*t^7.42)/g1^5 + (g2^5*t^7.44)/g1^7 + t^7.53/(g1^12*g2^12) + t^7.55/(g1^14*g2^10) + t^7.57/(g1^16*g2^8) + (g1^5*t^7.58)/g2^3 + t^7.6/(g1^18*g2^6) + g1*g2*t^7.62 + (g2^5*t^7.67)/g1^3 + (2*t^7.78)/(g1^10*g2^10) + t^7.8/(g1^12*g2^8) + (2*g1^9*t^7.8)/g2^3 + t^7.82/(g1^14*g2^6) + (2*g1^7*t^7.82)/g2 + 2*g1^5*g2*t^7.85 + g1^3*g2^3*t^7.87 + g1*g2^5*t^7.89 + (g2^7*t^7.91)/g1 + t^8./(g1^6*g2^10) + (2*t^8.02)/(g1^8*g2^8) + (2*t^8.04)/(g1^10*g2^6) - g1^9*g2*t^8.07 - g1^7*g2^3*t^8.09 - 2*g1^5*g2^5*t^8.11 - g1^3*g2^7*t^8.13 - g1*g2^9*t^8.16 + (2*t^8.24)/(g1^4*g2^8) + (4*t^8.27)/(g1^6*g2^6) + t^8.29/(g1^8*g2^4) + g1^5*g2^9*t^8.38 + g1^3*g2^11*t^8.4 + g1*g2^13*t^8.42 + t^8.47/g2^8 + (2*t^8.49)/(g1^2*g2^6) - (3*t^8.51)/(g1^4*g2^4) - (4*t^8.53)/(g1^6*g2^2) - t^8.55/g1^8 + (3*g1^2*t^8.71)/g2^6 + t^8.73/g2^4 - t^8.76/(g1^2*g2^2) + (g2^2*t^8.8)/g1^6 + t^8.91/(g1^13*g2^13) + t^8.93/(g1^15*g2^11) + (2*g1^6*t^8.93)/g2^6 + t^8.95/(g1^17*g2^9) - (g1^4*t^8.96)/g2^4 - (7*g1^2*t^8.98)/g2^2 - t^4.38/(g1*g2*y) - t^6.89/(g1^5*g2^5*y) - t^6.91/(g1^7*g2^3*y) - t^7.13/(g1^3*g2^3*y) - (g1*t^7.36)/(g2^3*y) + (g2*t^7.4)/(g1^3*y) + (g1*g2*t^7.62)/y + (g1^5*g2*t^7.85)/y + (g1^3*g2^3*t^7.87)/y + t^8.04/(g1^10*g2^6*y) + t^8.27/(g1^6*g2^6*y) + t^8.29/(g1^8*g2^4*y) + (2*t^8.49)/(g1^2*g2^6*y) + (3*t^8.51)/(g1^4*g2^4*y) + t^8.53/(g1^6*g2^2*y) + (2*t^8.73)/(g2^4*y) + t^8.76/(g1^2*g2^2*y) + (g1^4*t^8.96)/(g2^4*y) + (2*g1^2*t^8.98)/(g2^2*y) - (t^4.38*y)/(g1*g2) - (t^6.89*y)/(g1^5*g2^5) - (t^6.91*y)/(g1^7*g2^3) - (t^7.13*y)/(g1^3*g2^3) - (g1*t^7.36*y)/g2^3 + (g2*t^7.4*y)/g1^3 + g1*g2*t^7.62*y + g1^5*g2*t^7.85*y + g1^3*g2^3*t^7.87*y + (t^8.04*y)/(g1^10*g2^6) + (t^8.27*y)/(g1^6*g2^6) + (t^8.29*y)/(g1^8*g2^4) + (2*t^8.49*y)/(g1^2*g2^6) + (3*t^8.51*y)/(g1^4*g2^4) + (t^8.53*y)/(g1^6*g2^2) + (2*t^8.73*y)/g2^4 + (t^8.76*y)/(g1^2*g2^2) + (g1^4*t^8.96*y)/g2^4 + (2*g1^2*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 1460 | $M_1q_1q_2$ + $ 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_5M_6$ + $ M_7\phi_1q_2^2$ | 0.7401 | 0.9227 | 0.802 | [X:[], M:[1.0, 0.845, 0.8515, 0.9935, 1.0065, 0.9935, 0.6938], q:[0.5775, 0.4225], qb:[0.571, 0.584], phi:[0.4612]] | t^2.08 + t^2.53 + t^2.55 + t^2.77 + 2*t^2.98 + t^3. + t^3.48 + t^4.16 + t^4.36 + t^4.38 + t^4.4 + t^4.62 + t^4.64 + t^4.81 + t^4.83 + 3*t^4.85 + t^4.87 + t^4.89 + 2*t^5.06 + t^5.07 + t^5.08 + t^5.09 + t^5.11 + t^5.3 + t^5.32 + t^5.52 + 3*t^5.53 + t^5.57 + 2*t^5.75 + t^5.77 + 2*t^5.96 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 598 | 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$ | 0.7203 | 0.8855 | 0.8134 | [X:[], M:[1.0, 0.8402, 0.8171, 1.0231, 0.9769], q:[0.5799, 0.4201], qb:[0.603, 0.5568], phi:[0.4601]] | t^2.45 + t^2.52 + t^2.76 + t^2.93 + t^3. + t^3.07 + t^3.41 + t^3.9 + t^4.31 + t^4.38 + t^4.45 + t^4.72 + t^4.79 + 2*t^4.86 + t^4.9 + t^4.93 + t^4.97 + t^5. + t^5.04 + t^5.21 + t^5.28 + t^5.38 + t^5.45 + 2*t^5.52 + t^5.69 + t^5.76 + t^5.83 + t^5.86 - 2*t^6. - t^4.38/y - t^4.38*y | detail |