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 |
|---|---|---|---|---|---|---|---|---|---|
| 1993 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_3M_6$ + $ M_4M_6$ + $ M_7q_1\tilde{q}_2$ | 0.6691 | 0.8361 | 0.8002 | [X:[], M:[0.6855, 1.2991, 0.7086, 0.7086, 0.6932, 1.2914, 0.6932], q:[0.8363, 0.8133], qb:[0.4782, 0.4705], phi:[0.3505]] | [X:[], M:[[-8, 4], [2, 2], [1, -5], [1, -5], [-5, 1], [-1, 5], [-5, 1]], q:[[5, -4], [-4, 5]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_7$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_6$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_1M_7$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ M_1M_4$, $ M_4M_5$, $ M_4M_7$, $ M_4^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_7\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1q_2\tilde{q}_2$, $ M_1M_6$, $ M_5q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_1M_2$, $ M_5M_6$, $ M_6M_7$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ M_2M_7$, $ M_4q_2\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$, $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | . | -2 | t^2.06 + 2*t^2.08 + t^2.13 + t^2.85 + t^3.85 + t^3.87 + 2*t^3.9 + t^4.11 + 2*t^4.14 + 3*t^4.16 + t^4.18 + 2*t^4.21 + t^4.25 + t^4.9 + 2*t^4.93 + t^4.95 + t^4.97 + t^5.69 + t^5.91 + 3*t^5.93 + 3*t^5.95 + 3*t^5.98 - 2*t^6. - t^6.05 + t^6.17 + 2*t^6.19 + 3*t^6.22 + 5*t^6.24 + 2*t^6.26 + 3*t^6.29 + t^6.31 + 2*t^6.33 + t^6.38 + t^6.7 + t^6.72 + 2*t^6.74 + t^6.96 + 2*t^6.98 + 3*t^7.01 + t^7.03 - t^7.07 + t^7.7 + t^7.73 + 3*t^7.75 + 2*t^7.77 + t^7.79 - t^7.82 - t^7.84 + t^7.96 + 3*t^7.99 + 6*t^8.01 + 4*t^8.03 + 2*t^8.06 - 5*t^8.08 - t^8.1 - 4*t^8.13 - t^8.17 + t^8.23 + 2*t^8.25 + 3*t^8.27 + 5*t^8.3 + 7*t^8.32 + 3*t^8.34 + 5*t^8.36 + 2*t^8.39 + 3*t^8.41 + t^8.43 + 2*t^8.46 + t^8.5 + t^8.54 + t^8.75 + 3*t^8.78 + 3*t^8.8 + 2*t^8.82 - 2*t^8.85 - 2*t^8.87 - 2*t^8.89 - t^4.05/y - t^6.11/y - (2*t^6.13)/y - t^6.18/y + (2*t^7.14)/y + t^7.16/y + t^7.18/y + (2*t^7.21)/y + t^7.9/y + (3*t^7.93)/y + (3*t^7.97)/y + t^7.99/y - t^8.16/y - (2*t^8.19)/y - (3*t^8.21)/y - t^8.23/y - (2*t^8.26)/y - t^8.3/y + t^8.91/y + (3*t^8.93)/y + (4*t^8.95)/y + (5*t^8.98)/y - t^4.05*y - t^6.11*y - 2*t^6.13*y - t^6.18*y + 2*t^7.14*y + t^7.16*y + t^7.18*y + 2*t^7.21*y + t^7.9*y + 3*t^7.93*y + 3*t^7.97*y + t^7.99*y - t^8.16*y - 2*t^8.19*y - 3*t^8.21*y - t^8.23*y - 2*t^8.26*y - t^8.3*y + t^8.91*y + 3*t^8.93*y + 4*t^8.95*y + 5*t^8.98*y | (g2^4*t^2.06)/g1^8 + (2*g2*t^2.08)/g1^5 + (g1*t^2.13)/g2^5 + g1^3*g2^3*t^2.85 + (g2^8*t^3.85)/g1^4 + (g2^5*t^3.87)/g1 + 2*g1^2*g2^2*t^3.9 + (g2^8*t^4.11)/g1^16 + (2*g2^5*t^4.14)/g1^13 + (3*g2^2*t^4.16)/g1^10 + t^4.18/(g1^7*g2) + (2*t^4.21)/(g1^4*g2^4) + (g1^2*t^4.25)/g2^10 + (g2^7*t^4.9)/g1^5 + (2*g2^4*t^4.93)/g1^2 + g1*g2*t^4.95 + (g1^4*t^4.97)/g2^2 + g1^6*g2^6*t^5.69 + (g2^12*t^5.91)/g1^12 + (3*g2^9*t^5.93)/g1^9 + (3*g2^6*t^5.95)/g1^6 + (3*g2^3*t^5.98)/g1^3 - 2*t^6. - (g1^6*t^6.05)/g2^6 + (g2^12*t^6.17)/g1^24 + (2*g2^9*t^6.19)/g1^21 + (3*g2^6*t^6.22)/g1^18 + (5*g2^3*t^6.24)/g1^15 + (2*t^6.26)/g1^12 + (3*t^6.29)/(g1^9*g2^3) + t^6.31/(g1^6*g2^6) + (2*t^6.33)/(g1^3*g2^9) + (g1^3*t^6.38)/g2^15 + (g2^11*t^6.7)/g1 + g1^2*g2^8*t^6.72 + 2*g1^5*g2^5*t^6.74 + (g2^11*t^6.96)/g1^13 + (2*g2^8*t^6.98)/g1^10 + (3*g2^5*t^7.01)/g1^7 + (g2^2*t^7.03)/g1^4 - (g1^2*t^7.07)/g2^4 + (g2^16*t^7.7)/g1^8 + (g2^13*t^7.73)/g1^5 + (3*g2^10*t^7.75)/g1^2 + 2*g1*g2^7*t^7.77 + g1^4*g2^4*t^7.79 - g1^7*g2*t^7.82 - (g1^10*t^7.84)/g2^2 + (g2^16*t^7.96)/g1^20 + (3*g2^13*t^7.99)/g1^17 + (6*g2^10*t^8.01)/g1^14 + (4*g2^7*t^8.03)/g1^11 + (2*g2^4*t^8.06)/g1^8 - (5*g2*t^8.08)/g1^5 - t^8.1/(g1^2*g2^2) - (4*g1*t^8.13)/g2^5 - (g1^7*t^8.17)/g2^11 + (g2^16*t^8.23)/g1^32 + (2*g2^13*t^8.25)/g1^29 + (3*g2^10*t^8.27)/g1^26 + (5*g2^7*t^8.3)/g1^23 + (7*g2^4*t^8.32)/g1^20 + (3*g2*t^8.34)/g1^17 + (5*t^8.36)/(g1^14*g2^2) + (2*t^8.39)/(g1^11*g2^5) + (3*t^8.41)/(g1^8*g2^8) + t^8.43/(g1^5*g2^11) + (2*t^8.46)/(g1^2*g2^14) + (g1^4*t^8.5)/g2^20 + g1^9*g2^9*t^8.54 + (g2^15*t^8.75)/g1^9 + (3*g2^12*t^8.78)/g1^6 + (3*g2^9*t^8.8)/g1^3 + 2*g2^6*t^8.82 - 2*g1^3*g2^3*t^8.85 - 2*g1^6*t^8.87 - (2*g1^9*t^8.89)/g2^3 - t^4.05/(g1*g2*y) - (g2^3*t^6.11)/(g1^9*y) - (2*t^6.13)/(g1^6*y) - t^6.18/(g2^6*y) + (2*g2^5*t^7.14)/(g1^13*y) + (g2^2*t^7.16)/(g1^10*y) + t^7.18/(g1^7*g2*y) + (2*t^7.21)/(g1^4*g2^4*y) + (g2^7*t^7.9)/(g1^5*y) + (3*g2^4*t^7.93)/(g1^2*y) + (3*g1^4*t^7.97)/(g2^2*y) + (g1^7*t^7.99)/(g2^5*y) - (g2^7*t^8.16)/(g1^17*y) - (2*g2^4*t^8.19)/(g1^14*y) - (3*g2*t^8.21)/(g1^11*y) - t^8.23/(g1^8*g2^2*y) - (2*t^8.26)/(g1^5*g2^5*y) - (g1*t^8.3)/(g2^11*y) + (g2^12*t^8.91)/(g1^12*y) + (3*g2^9*t^8.93)/(g1^9*y) + (4*g2^6*t^8.95)/(g1^6*y) + (5*g2^3*t^8.98)/(g1^3*y) - (t^4.05*y)/(g1*g2) - (g2^3*t^6.11*y)/g1^9 - (2*t^6.13*y)/g1^6 - (t^6.18*y)/g2^6 + (2*g2^5*t^7.14*y)/g1^13 + (g2^2*t^7.16*y)/g1^10 + (t^7.18*y)/(g1^7*g2) + (2*t^7.21*y)/(g1^4*g2^4) + (g2^7*t^7.9*y)/g1^5 + (3*g2^4*t^7.93*y)/g1^2 + (3*g1^4*t^7.97*y)/g2^2 + (g1^7*t^7.99*y)/g2^5 - (g2^7*t^8.16*y)/g1^17 - (2*g2^4*t^8.19*y)/g1^14 - (3*g2*t^8.21*y)/g1^11 - (t^8.23*y)/(g1^8*g2^2) - (2*t^8.26*y)/(g1^5*g2^5) - (g1*t^8.3*y)/g2^11 + (g2^12*t^8.91*y)/g1^12 + (3*g2^9*t^8.93*y)/g1^9 + (4*g2^6*t^8.95*y)/g1^6 + (5*g2^3*t^8.98*y)/g1^3 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 754 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_3M_6$ + $ M_4M_6$ | 0.6485 | 0.7962 | 0.8144 | [X:[], M:[0.6921, 1.2959, 0.7101, 0.7101, 0.6981, 1.2899], q:[0.833, 0.8149], qb:[0.4749, 0.4689], phi:[0.3521]] | t^2.08 + t^2.09 + t^2.13 + t^2.83 + t^3.85 + t^3.87 + 2*t^3.89 + t^3.91 + t^4.15 + t^4.17 + t^4.19 + t^4.21 + t^4.22 + t^4.26 + t^4.91 + t^4.93 + t^4.94 + t^4.96 + t^5.66 + t^5.93 + 2*t^5.95 + 2*t^5.96 + 2*t^5.98 - t^6. - t^4.06/y - t^4.06*y | detail |