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 |
|---|---|---|---|---|---|---|---|---|---|
| 2009 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_7q_1\tilde{q}_1$ | 0.6436 | 0.8459 | 0.7608 | [X:[], M:[1.0, 1.0114, 0.9772, 0.7396, 0.7547, 1.0228, 0.7282], q:[0.7529, 0.2471], qb:[0.519, 0.5038], phi:[0.4943]] | [X:[], M:[[0, 0], [4, 4], [-8, -8], [-5, 3], [3, -5], [8, 8], [-9, -1]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_4$, $ q_2\tilde{q}_2$, $ M_5$, $ q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1$, $ M_2$, $ M_6$, $ q_1\tilde{q}_2$, $ M_7^2$, $ M_4M_7$, $ M_4^2$, $ M_7q_2\tilde{q}_2$, $ M_5M_7$, $ M_4q_2\tilde{q}_2$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_7\phi_1q_2^2$, $ M_1M_7$, $ M_4\phi_1q_2^2$, $ M_1M_4$, $ M_2M_7$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_4$, $ M_6M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_5$, $ \phi_1q_2^3\tilde{q}_1$, $ M_4M_6$, $ M_2q_2\tilde{q}_2$, $ M_2M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_5M_6$, $ M_2q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ \phi_1^2q_2^4$, $ M_4q_1\tilde{q}_2$ | . | -2 | t^2.18 + t^2.22 + t^2.25 + t^2.26 + t^2.3 + t^2.97 + t^3. + t^3.03 + t^3.07 + t^3.77 + t^4.37 + t^4.4 + 2*t^4.44 + t^4.45 + t^4.47 + 2*t^4.48 + 2*t^4.51 + 2*t^4.52 + t^4.53 + 2*t^4.55 + t^4.56 + 2*t^4.6 + t^5.15 + t^5.18 + 3*t^5.22 + 3*t^5.25 + 2*t^5.26 + 2*t^5.29 + 2*t^5.3 + t^5.32 + 2*t^5.33 + t^5.37 + t^5.93 + t^5.99 - 2*t^6. + t^6.02 + 2*t^6.03 - t^6.05 + 2*t^6.07 + t^6.1 + t^6.14 + t^6.55 + t^6.59 + 2*t^6.62 + t^6.63 + 2*t^6.66 + t^6.67 + 3*t^6.69 + 2*t^6.7 + 2*t^6.72 + 3*t^6.74 + t^6.75 + 2*t^6.76 + 3*t^6.77 + 2*t^6.78 + t^6.79 + 3*t^6.8 + 2*t^6.82 + t^6.83 + t^6.84 + 2*t^6.85 + 2*t^6.86 + 2*t^6.9 + t^7.33 + t^7.37 + 3*t^7.4 + 3*t^7.44 + t^7.45 + 5*t^7.47 + t^7.48 + 4*t^7.51 + 4*t^7.52 + 3*t^7.54 + 4*t^7.55 + 3*t^7.56 + 2*t^7.57 + 3*t^7.59 + 3*t^7.6 + 2*t^7.62 + 2*t^7.63 + 2*t^7.67 + t^8.12 - 2*t^8.18 + t^8.21 - 2*t^8.22 - t^8.23 + t^8.24 - t^8.25 - 4*t^8.26 + 2*t^8.28 + 3*t^8.29 - 3*t^8.3 - t^8.31 + 4*t^8.32 + t^8.33 - t^8.34 + 2*t^8.36 + 3*t^8.37 + t^8.39 + 2*t^8.4 + t^8.44 + t^8.74 + t^8.77 + 2*t^8.81 + t^8.82 + 2*t^8.84 + t^8.85 + 4*t^8.87 + 2*t^8.89 + t^8.9 + 3*t^8.91 + 2*t^8.92 + 4*t^8.94 + 2*t^8.95 - 2*t^8.97 + 3*t^8.98 + 4*t^8.99 - t^4.48/y - t^6.67/y - t^6.7/y - t^6.75/y + t^7.4/y + t^7.44/y + t^7.45/y + t^7.47/y + (2*t^7.48)/y + (2*t^7.52)/y + t^7.55/y + t^7.56/y + t^8.15/y + (2*t^8.18)/y + (4*t^8.22)/y + t^8.23/y + (3*t^8.25)/y + (3*t^8.26)/y + (2*t^8.29)/y + (3*t^8.3)/y + t^8.32/y + (2*t^8.33)/y + t^8.37/y - t^8.85/y - t^8.89/y - t^8.92/y - t^8.93/y + t^8.95/y + t^8.99/y - t^4.48*y - t^6.67*y - t^6.7*y - t^6.75*y + t^7.4*y + t^7.44*y + t^7.45*y + t^7.47*y + 2*t^7.48*y + 2*t^7.52*y + t^7.55*y + t^7.56*y + t^8.15*y + 2*t^8.18*y + 4*t^8.22*y + t^8.23*y + 3*t^8.25*y + 3*t^8.26*y + 2*t^8.29*y + 3*t^8.3*y + t^8.32*y + 2*t^8.33*y + t^8.37*y - t^8.85*y - t^8.89*y - t^8.92*y - t^8.93*y + t^8.95*y + t^8.99*y | t^2.18/(g1^9*g2) + (g2^3*t^2.22)/g1^5 + (g2^7*t^2.25)/g1 + (g1^3*t^2.26)/g2^5 + (g1^7*t^2.3)/g2 + t^2.97/(g1^4*g2^4) + t^3. + g1^4*g2^4*t^3.03 + g1^8*g2^8*t^3.07 + g1*g2^9*t^3.77 + t^4.37/(g1^18*g2^2) + (g2^2*t^4.4)/g1^14 + (2*g2^6*t^4.44)/g1^10 + t^4.45/(g1^6*g2^6) + (g2^10*t^4.47)/g1^6 + (2*t^4.48)/(g1^2*g2^2) + (2*g2^14*t^4.51)/g1^2 + 2*g1^2*g2^2*t^4.52 + (g1^6*t^4.53)/g2^10 + 2*g1^6*g2^6*t^4.55 + (g1^10*t^4.56)/g2^6 + (2*g1^14*t^4.6)/g2^2 + t^5.15/(g1^13*g2^5) + t^5.18/(g1^9*g2) + (3*g2^3*t^5.22)/g1^5 + (3*g2^7*t^5.25)/g1 + (2*g1^3*t^5.26)/g2^5 + 2*g1^3*g2^11*t^5.29 + (2*g1^7*t^5.3)/g2 + g1^7*g2^15*t^5.32 + 2*g1^11*g2^3*t^5.33 + g1^15*g2^7*t^5.37 + t^5.93/(g1^8*g2^8) + (g2^12*t^5.99)/g1^4 - 2*t^6. + g2^16*t^6.02 + 2*g1^4*g2^4*t^6.03 - (g1^8*t^6.05)/g2^8 + 2*g1^8*g2^8*t^6.07 + g1^12*g2^12*t^6.1 + g1^16*g2^16*t^6.14 + t^6.55/(g1^27*g2^3) + (g2*t^6.59)/g1^23 + (2*g2^5*t^6.62)/g1^19 + t^6.63/(g1^15*g2^7) + (2*g2^9*t^6.66)/g1^15 + t^6.67/(g1^11*g2^3) + (3*g2^13*t^6.69)/g1^11 + (2*g2*t^6.7)/g1^7 + (2*g2^17*t^6.72)/g1^7 + (3*g2^5*t^6.74)/g1^3 + (g1*t^6.75)/g2^7 + (2*g2^21*t^6.76)/g1^3 + 3*g1*g2^9*t^6.77 + (2*g1^5*t^6.78)/g2^3 + (g1^9*t^6.79)/g2^15 + 3*g1^5*g2^13*t^6.8 + 2*g1^9*g2*t^6.82 + (g1^13*t^6.83)/g2^11 + g1^9*g2^17*t^6.84 + 2*g1^13*g2^5*t^6.85 + (2*g1^17*t^6.86)/g2^7 + (2*g1^21*t^6.9)/g2^3 + t^7.33/(g1^22*g2^6) + t^7.37/(g1^18*g2^2) + (3*g2^2*t^7.4)/g1^14 + (3*g2^6*t^7.44)/g1^10 + t^7.45/(g1^6*g2^6) + (5*g2^10*t^7.47)/g1^6 + t^7.48/(g1^2*g2^2) + (4*g2^14*t^7.51)/g1^2 + 4*g1^2*g2^2*t^7.52 + 3*g1^2*g2^18*t^7.54 + 4*g1^6*g2^6*t^7.55 + (3*g1^10*t^7.56)/g2^6 + 2*g1^6*g2^22*t^7.57 + 3*g1^10*g2^10*t^7.59 + (3*g1^14*t^7.6)/g2^2 + 2*g1^14*g2^14*t^7.62 + 2*g1^18*g2^2*t^7.63 + 2*g1^22*g2^6*t^7.67 + t^8.12/(g1^17*g2^9) - (2*t^8.18)/(g1^9*g2) + (g2^15*t^8.21)/g1^9 - (2*g2^3*t^8.22)/g1^5 - t^8.23/(g1*g2^9) + (g2^19*t^8.24)/g1^5 - (g2^7*t^8.25)/g1 - (4*g1^3*t^8.26)/g2^5 + (2*g2^23*t^8.28)/g1 + 3*g1^3*g2^11*t^8.29 - (3*g1^7*t^8.3)/g2 - (g1^11*t^8.31)/g2^13 + 4*g1^7*g2^15*t^8.32 + g1^11*g2^3*t^8.33 - (g1^15*t^8.34)/g2^9 + 2*g1^11*g2^19*t^8.36 + 3*g1^15*g2^7*t^8.37 + g1^15*g2^23*t^8.39 + 2*g1^19*g2^11*t^8.4 + g1^23*g2^15*t^8.44 + t^8.74/(g1^36*g2^4) + t^8.77/g1^32 + (2*g2^4*t^8.81)/g1^28 + t^8.82/(g1^24*g2^8) + (2*g2^8*t^8.84)/g1^24 + t^8.85/(g1^20*g2^4) + (4*g2^12*t^8.87)/g1^20 + (2*t^8.89)/g1^16 + t^8.9/(g1^12*g2^12) + (3*g2^16*t^8.91)/g1^16 + (2*g2^4*t^8.92)/g1^12 + (4*g2^20*t^8.94)/g1^12 + (2*g2^8*t^8.95)/g1^8 - (2*t^8.97)/(g1^4*g2^4) + t^8.98/g2^16 + (2*g2^24*t^8.98)/g1^8 + (4*g2^12*t^8.99)/g1^4 - t^4.48/(g1^2*g2^2*y) - t^6.67/(g1^11*g2^3*y) - (g2*t^6.7)/(g1^7*y) - (g1*t^6.75)/(g2^7*y) + (g2^2*t^7.4)/(g1^14*y) + (g2^6*t^7.44)/(g1^10*y) + t^7.45/(g1^6*g2^6*y) + (g2^10*t^7.47)/(g1^6*y) + (2*t^7.48)/(g1^2*g2^2*y) + (2*g1^2*g2^2*t^7.52)/y + (g1^6*g2^6*t^7.55)/y + (g1^10*t^7.56)/(g2^6*y) + t^8.15/(g1^13*g2^5*y) + (2*t^8.18)/(g1^9*g2*y) + (4*g2^3*t^8.22)/(g1^5*y) + t^8.23/(g1*g2^9*y) + (3*g2^7*t^8.25)/(g1*y) + (3*g1^3*t^8.26)/(g2^5*y) + (2*g1^3*g2^11*t^8.29)/y + (3*g1^7*t^8.3)/(g2*y) + (g1^7*g2^15*t^8.32)/y + (2*g1^11*g2^3*t^8.33)/y + (g1^15*g2^7*t^8.37)/y - t^8.85/(g1^20*g2^4*y) - t^8.89/(g1^16*y) - (g2^4*t^8.92)/(g1^12*y) - t^8.93/(g1^8*g2^8*y) + (g2^8*t^8.95)/(g1^8*y) + (g2^12*t^8.99)/(g1^4*y) - (t^4.48*y)/(g1^2*g2^2) - (t^6.67*y)/(g1^11*g2^3) - (g2*t^6.7*y)/g1^7 - (g1*t^6.75*y)/g2^7 + (g2^2*t^7.4*y)/g1^14 + (g2^6*t^7.44*y)/g1^10 + (t^7.45*y)/(g1^6*g2^6) + (g2^10*t^7.47*y)/g1^6 + (2*t^7.48*y)/(g1^2*g2^2) + 2*g1^2*g2^2*t^7.52*y + g1^6*g2^6*t^7.55*y + (g1^10*t^7.56*y)/g2^6 + (t^8.15*y)/(g1^13*g2^5) + (2*t^8.18*y)/(g1^9*g2) + (4*g2^3*t^8.22*y)/g1^5 + (t^8.23*y)/(g1*g2^9) + (3*g2^7*t^8.25*y)/g1 + (3*g1^3*t^8.26*y)/g2^5 + 2*g1^3*g2^11*t^8.29*y + (3*g1^7*t^8.3*y)/g2 + g1^7*g2^15*t^8.32*y + 2*g1^11*g2^3*t^8.33*y + g1^15*g2^7*t^8.37*y - (t^8.85*y)/(g1^20*g2^4) - (t^8.89*y)/g1^16 - (g2^4*t^8.92*y)/g1^12 - (t^8.93*y)/(g1^8*g2^8) + (g2^8*t^8.95*y)/g1^8 + (g2^12*t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 3054 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_7q_1\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ | 0.6436 | 0.8457 | 0.761 | [X:[], M:[1.0, 1.0122, 0.9756, 0.7408, 0.7531, 1.0244, 0.7286], q:[0.7531, 0.2469], qb:[0.5183, 0.5061], phi:[0.4939]] | t^2.19 + t^2.22 + 2*t^2.26 + t^2.3 + t^2.96 + t^3. + t^3.04 + t^3.07 + t^3.78 + t^4.37 + t^4.41 + 3*t^4.45 + 3*t^4.48 + 5*t^4.52 + 3*t^4.55 + 2*t^4.59 + t^5.15 + t^5.19 + 3*t^5.22 + 5*t^5.26 + 4*t^5.3 + 3*t^5.33 + t^5.37 + t^5.93 - t^6. - t^4.48/y - t^4.48*y | detail | |
| 3055 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1\tilde{q}_2$ | 0.6632 | 0.8813 | 0.7525 | [X:[], M:[1.0, 1.02, 0.9601, 0.745, 0.745, 1.0399, 0.7251, 0.7251], q:[0.755, 0.245], qb:[0.52, 0.52], phi:[0.49]] | 2*t^2.18 + 2*t^2.24 + 2*t^2.29 + t^2.94 + t^3. + t^3.06 + t^3.12 + 3*t^4.35 + 4*t^4.41 + 7*t^4.47 + 4*t^4.53 + 6*t^4.59 + 2*t^5.12 + 2*t^5.18 + 6*t^5.24 + 6*t^5.29 + 4*t^5.35 + 2*t^5.41 + t^5.88 - 4*t^6. - t^4.47/y - t^4.47*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 |
|---|---|---|---|---|---|---|---|---|---|
| 820 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ | 0.624 | 0.8111 | 0.7693 | [X:[], M:[1.0, 1.0021, 0.9959, 0.7495, 0.7495, 1.0041], q:[0.7505, 0.2495], qb:[0.5021, 0.5021], phi:[0.499]] | 4*t^2.25 + t^2.99 + t^3. + 2*t^3.01 + 2*t^3.76 + 7*t^4.5 + 6*t^4.51 + 8*t^5.25 + 4*t^5.26 + 2*t^5.27 + t^5.99 - 4*t^6. - t^4.5/y - t^4.5*y | detail |