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 |
|---|---|---|---|---|---|---|---|---|---|
| 4931 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_3M_7$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.6241 | 0.811 | 0.7696 | [X:[], M:[1.0, 1.005, 0.99, 1.2513, 0.7387, 0.7487, 1.01, 0.7538], q:[0.2487, 0.7513], qb:[0.5, 0.51], phi:[0.4975]] | [X:[], M:[[0], [4], [-8], [1], [-9], [-1], [8], [3]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ M_8$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1$, $ M_2$, $ M_7$, $ M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_5M_8$, $ M_6^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_6M_8$, $ M_8^2$, $ M_6q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_8q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$, $ M_5\phi_1q_1^2$, $ M_2M_5$, $ M_6\phi_1q_1^2$, $ M_1M_6$, $ M_5M_7$, $ M_8\phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ M_1M_8$, $ \phi_1q_1^3\tilde{q}_2$, $ M_6M_7$, $ M_2M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_7M_8$, $ M_2q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_4M_5$, $ \phi_1^2q_1^4$, $ M_5\phi_1q_1\tilde{q}_2$ | . | -1 | t^2.22 + t^2.25 + t^2.26 + t^2.28 + t^2.98 + t^3. + t^3.02 + t^3.03 + t^3.75 + t^3.77 + t^4.43 + t^4.46 + t^4.48 + 3*t^4.49 + t^4.51 + 3*t^4.52 + t^4.54 + 2*t^4.55 + t^5.2 + 2*t^5.23 + 2*t^5.25 + 3*t^5.26 + 3*t^5.28 + 2*t^5.29 + t^5.31 + t^5.97 + t^5.98 - t^6. + 3*t^6.02 + 2*t^6.03 + 2*t^6.05 + t^6.06 + t^6.65 + t^6.68 + t^6.69 + 2*t^6.71 + 3*t^6.74 + 2*t^6.75 + 5*t^6.77 + 3*t^6.78 + 4*t^6.8 + 2*t^6.81 + 2*t^6.83 + t^7.42 + 2*t^7.45 + 3*t^7.48 + t^7.49 + 4*t^7.51 + 5*t^7.52 + 6*t^7.54 + 5*t^7.55 + 2*t^7.57 + 2*t^7.58 + t^8.19 - 2*t^8.22 + t^8.23 - t^8.25 + t^8.26 + t^8.28 + 4*t^8.29 + 4*t^8.31 + 4*t^8.32 + t^8.34 + t^8.86 + t^8.89 + t^8.91 + 2*t^8.92 + t^8.94 + 3*t^8.95 + t^8.98 - t^4.49/y - t^6.71/y - t^6.75/y + t^7.46/y + t^7.48/y + t^7.49/y + t^7.51/y + t^7.52/y + t^7.54/y + t^8.2/y + t^8.22/y + (3*t^8.23)/y + (3*t^8.25)/y + (3*t^8.26)/y + (4*t^8.28)/y + (2*t^8.29)/y + t^8.31/y - t^8.92/y + (2*t^8.98)/y - t^4.49*y - t^6.71*y - t^6.75*y + t^7.46*y + t^7.48*y + t^7.49*y + t^7.51*y + t^7.52*y + t^7.54*y + t^8.2*y + t^8.22*y + 3*t^8.23*y + 3*t^8.25*y + 3*t^8.26*y + 4*t^8.28*y + 2*t^8.29*y + t^8.31*y - t^8.92*y + 2*t^8.98*y | t^2.22/g1^9 + t^2.25/g1 + g1^3*t^2.26 + g1^7*t^2.28 + t^2.98/g1^4 + t^3. + g1^4*t^3.02 + g1^8*t^3.03 + g1*t^3.75 + g1^5*t^3.77 + t^4.43/g1^18 + t^4.46/g1^10 + t^4.48/g1^6 + (3*t^4.49)/g1^2 + g1^2*t^4.51 + 3*g1^6*t^4.52 + g1^10*t^4.54 + 2*g1^14*t^4.55 + t^5.2/g1^13 + (2*t^5.23)/g1^5 + (2*t^5.25)/g1 + 3*g1^3*t^5.26 + 3*g1^7*t^5.28 + 2*g1^11*t^5.29 + g1^15*t^5.31 + t^5.97/g1^8 + t^5.98/g1^4 - t^6. + 3*g1^4*t^6.02 + 2*g1^8*t^6.03 + 2*g1^12*t^6.05 + g1^16*t^6.06 + t^6.65/g1^27 + t^6.68/g1^19 + t^6.69/g1^15 + (2*t^6.71)/g1^11 + (3*t^6.74)/g1^3 + 2*g1*t^6.75 + 5*g1^5*t^6.77 + 3*g1^9*t^6.78 + 4*g1^13*t^6.8 + 2*g1^17*t^6.81 + 2*g1^21*t^6.83 + t^7.42/g1^22 + (2*t^7.45)/g1^14 + (3*t^7.48)/g1^6 + t^7.49/g1^2 + 4*g1^2*t^7.51 + 5*g1^6*t^7.52 + 6*g1^10*t^7.54 + 5*g1^14*t^7.55 + 2*g1^18*t^7.57 + 2*g1^22*t^7.58 + t^8.19/g1^17 - (2*t^8.22)/g1^9 + t^8.23/g1^5 - t^8.25/g1 + g1^3*t^8.26 + g1^7*t^8.28 + 4*g1^11*t^8.29 + 4*g1^15*t^8.31 + 4*g1^19*t^8.32 + g1^23*t^8.34 + t^8.86/g1^36 + t^8.89/g1^28 + t^8.91/g1^24 + (2*t^8.92)/g1^20 + t^8.94/g1^16 + (3*t^8.95)/g1^12 + t^8.98/g1^4 - t^4.49/(g1^2*y) - t^6.71/(g1^11*y) - (g1*t^6.75)/y + t^7.46/(g1^10*y) + t^7.48/(g1^6*y) + t^7.49/(g1^2*y) + (g1^2*t^7.51)/y + (g1^6*t^7.52)/y + (g1^10*t^7.54)/y + t^8.2/(g1^13*y) + t^8.22/(g1^9*y) + (3*t^8.23)/(g1^5*y) + (3*t^8.25)/(g1*y) + (3*g1^3*t^8.26)/y + (4*g1^7*t^8.28)/y + (2*g1^11*t^8.29)/y + (g1^15*t^8.31)/y - t^8.92/(g1^20*y) + (2*t^8.98)/(g1^4*y) - (t^4.49*y)/g1^2 - (t^6.71*y)/g1^11 - g1*t^6.75*y + (t^7.46*y)/g1^10 + (t^7.48*y)/g1^6 + (t^7.49*y)/g1^2 + g1^2*t^7.51*y + g1^6*t^7.52*y + g1^10*t^7.54*y + (t^8.2*y)/g1^13 + (t^8.22*y)/g1^9 + (3*t^8.23*y)/g1^5 + (3*t^8.25*y)/g1 + 3*g1^3*t^8.26*y + 4*g1^7*t^8.28*y + 2*g1^11*t^8.29*y + g1^15*t^8.31*y - (t^8.92*y)/g1^20 + (2*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 6555 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_3M_7$ + $ M_8\phi_1q_1\tilde{q}_1$ + $ M_4M_9$ | 0.6432 | 0.8457 | 0.7606 | [X:[], M:[1.0, 1.006, 0.9879, 1.2515, 0.7364, 0.7485, 1.0121, 0.7545, 0.7485], q:[0.2485, 0.7515], qb:[0.5, 0.5121], phi:[0.497]] | t^2.21 + 2*t^2.25 + t^2.26 + t^2.28 + t^2.98 + t^3. + t^3.02 + t^3.04 + t^3.77 + t^4.42 + 2*t^4.45 + t^4.47 + 5*t^4.49 + 2*t^4.51 + 4*t^4.53 + t^4.55 + 2*t^4.56 + t^5.19 + 3*t^5.23 + 3*t^5.25 + 4*t^5.26 + 4*t^5.28 + 2*t^5.3 + t^5.32 + t^5.98 - 2*t^6. - t^4.49/y - t^4.49*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3064 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_3M_7$ | 0.6053 | 0.7765 | 0.7795 | [X:[], M:[1.0, 1.0083, 0.9834, 1.2521, 0.7313, 0.7479, 1.0166], q:[0.2479, 0.7521], qb:[0.5, 0.5166], phi:[0.4958]] | t^2.19 + t^2.24 + t^2.29 + t^2.98 + t^3. + t^3.02 + t^3.05 + t^3.73 + t^3.76 + t^3.78 + t^4.39 + t^4.44 + 3*t^4.49 + 2*t^4.54 + 2*t^4.59 + t^5.17 + 2*t^5.22 + t^5.24 + 2*t^5.27 + 2*t^5.29 + t^5.32 + t^5.34 + t^5.93 + t^5.95 + 2*t^5.98 - t^6. - t^4.49/y - t^4.49*y | detail |