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 |
|---|---|---|---|---|---|---|---|---|---|
| 4933 | 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}_2$ | 0.6249 | 0.8124 | 0.7692 | [X:[], M:[1.0, 1.0127, 0.9745, 1.2532, 0.7213, 0.7468, 1.0255, 0.7341], q:[0.2468, 0.7532], qb:[0.5, 0.5255], phi:[0.4936]] | [X:[], M:[[0], [4], [-8], [1], [-9], [-1], [8], [-5]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_8$, $ M_6$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1$, $ M_2$, $ M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_4$, $ M_5^2$, $ M_5M_8$, $ M_5M_6$, $ M_8^2$, $ M_6M_8$, $ M_6^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_8q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$, $ M_5\phi_1q_1^2$, $ M_1M_5$, $ M_8\phi_1q_1^2$, $ M_2M_5$, $ M_1M_8$, $ M_6\phi_1q_1^2$, $ M_1M_6$, $ M_5M_7$, $ M_2M_8$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ M_7M_8$, $ \phi_1q_1^3\tilde{q}_2$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_5\phi_1q_1\tilde{q}_1$, $ M_4M_5$, $ \phi_1^2q_1^4$, $ M_8\phi_1q_1\tilde{q}_1$, $ M_4M_8$, $ M_6\phi_1q_1\tilde{q}_1$ | . | -1 | t^2.16 + t^2.2 + t^2.24 + t^2.32 + t^2.96 + t^3. + t^3.04 + t^3.08 + t^3.72 + t^3.76 + t^4.33 + t^4.37 + 2*t^4.4 + t^4.44 + 3*t^4.48 + t^4.52 + 2*t^4.56 + 2*t^4.63 + t^5.13 + t^5.16 + 3*t^5.2 + 2*t^5.24 + 3*t^5.28 + 2*t^5.32 + t^5.36 + t^5.39 + t^5.89 + 2*t^5.92 + 2*t^5.96 - t^6. + 2*t^6.04 + t^6.08 + t^6.11 + t^6.15 + t^6.49 + t^6.53 + 2*t^6.57 + 2*t^6.61 + 3*t^6.64 + 3*t^6.68 + 4*t^6.72 + t^6.76 + 4*t^6.8 + t^6.84 + 2*t^6.87 + 2*t^6.95 + t^7.29 + t^7.33 + 3*t^7.37 + 2*t^7.4 + 6*t^7.44 + 3*t^7.48 + 4*t^7.52 + 2*t^7.56 + 3*t^7.6 + 3*t^7.63 + t^7.67 + 2*t^7.71 + t^8.05 + 2*t^8.09 + 2*t^8.13 + t^8.2 + 2*t^8.28 - t^8.32 + 3*t^8.36 + 2*t^8.39 + t^8.43 + t^8.47 + t^8.66 + t^8.69 + 2*t^8.73 + 2*t^8.77 + 4*t^8.81 + 4*t^8.85 + 5*t^8.89 + 3*t^8.92 + 3*t^8.96 - t^4.48/y - t^6.64/y - t^6.68/y + t^7.37/y + t^7.4/y + t^7.44/y + t^7.48/y + t^7.52/y + t^7.56/y + t^8.13/y + (2*t^8.16)/y + (3*t^8.2)/y + (3*t^8.24)/y + (4*t^8.28)/y + (3*t^8.32)/y + t^8.36/y + t^8.39/y - t^8.81/y - t^8.85/y + (2*t^8.92)/y + (3*t^8.96)/y - t^4.48*y - t^6.64*y - t^6.68*y + t^7.37*y + t^7.4*y + t^7.44*y + t^7.48*y + t^7.52*y + t^7.56*y + t^8.13*y + 2*t^8.16*y + 3*t^8.2*y + 3*t^8.24*y + 4*t^8.28*y + 3*t^8.32*y + t^8.36*y + t^8.39*y - t^8.81*y - t^8.85*y + 2*t^8.92*y + 3*t^8.96*y | t^2.16/g1^9 + t^2.2/g1^5 + t^2.24/g1 + g1^7*t^2.32 + t^2.96/g1^4 + t^3. + g1^4*t^3.04 + g1^8*t^3.08 + t^3.72/g1^3 + g1*t^3.76 + t^4.33/g1^18 + t^4.37/g1^14 + (2*t^4.4)/g1^10 + t^4.44/g1^6 + (3*t^4.48)/g1^2 + g1^2*t^4.52 + 2*g1^6*t^4.56 + 2*g1^14*t^4.63 + t^5.13/g1^13 + t^5.16/g1^9 + (3*t^5.2)/g1^5 + (2*t^5.24)/g1 + 3*g1^3*t^5.28 + 2*g1^7*t^5.32 + g1^11*t^5.36 + g1^15*t^5.39 + t^5.89/g1^12 + (2*t^5.92)/g1^8 + (2*t^5.96)/g1^4 - t^6. + 2*g1^4*t^6.04 + g1^8*t^6.08 + g1^12*t^6.11 + g1^16*t^6.15 + t^6.49/g1^27 + t^6.53/g1^23 + (2*t^6.57)/g1^19 + (2*t^6.61)/g1^15 + (3*t^6.64)/g1^11 + (3*t^6.68)/g1^7 + (4*t^6.72)/g1^3 + g1*t^6.76 + 4*g1^5*t^6.8 + g1^9*t^6.84 + 2*g1^13*t^6.87 + 2*g1^21*t^6.95 + t^7.29/g1^22 + t^7.33/g1^18 + (3*t^7.37)/g1^14 + (2*t^7.4)/g1^10 + (6*t^7.44)/g1^6 + (3*t^7.48)/g1^2 + 4*g1^2*t^7.52 + 2*g1^6*t^7.56 + 3*g1^10*t^7.6 + 3*g1^14*t^7.63 + g1^18*t^7.67 + 2*g1^22*t^7.71 + t^8.05/g1^21 + (2*t^8.09)/g1^17 + (2*t^8.13)/g1^13 + t^8.2/g1^5 + 2*g1^3*t^8.28 - g1^7*t^8.32 + 3*g1^11*t^8.36 + 2*g1^15*t^8.39 + g1^19*t^8.43 + g1^23*t^8.47 + t^8.66/g1^36 + t^8.69/g1^32 + (2*t^8.73)/g1^28 + (2*t^8.77)/g1^24 + (4*t^8.81)/g1^20 + (4*t^8.85)/g1^16 + (5*t^8.89)/g1^12 + (3*t^8.92)/g1^8 + (3*t^8.96)/g1^4 - t^4.48/(g1^2*y) - t^6.64/(g1^11*y) - t^6.68/(g1^7*y) + t^7.37/(g1^14*y) + t^7.4/(g1^10*y) + t^7.44/(g1^6*y) + t^7.48/(g1^2*y) + (g1^2*t^7.52)/y + (g1^6*t^7.56)/y + t^8.13/(g1^13*y) + (2*t^8.16)/(g1^9*y) + (3*t^8.2)/(g1^5*y) + (3*t^8.24)/(g1*y) + (4*g1^3*t^8.28)/y + (3*g1^7*t^8.32)/y + (g1^11*t^8.36)/y + (g1^15*t^8.39)/y - t^8.81/(g1^20*y) - t^8.85/(g1^16*y) + (2*t^8.92)/(g1^8*y) + (3*t^8.96)/(g1^4*y) - (t^4.48*y)/g1^2 - (t^6.64*y)/g1^11 - (t^6.68*y)/g1^7 + (t^7.37*y)/g1^14 + (t^7.4*y)/g1^10 + (t^7.44*y)/g1^6 + (t^7.48*y)/g1^2 + g1^2*t^7.52*y + g1^6*t^7.56*y + (t^8.13*y)/g1^13 + (2*t^8.16*y)/g1^9 + (3*t^8.2*y)/g1^5 + (3*t^8.24*y)/g1 + 4*g1^3*t^8.28*y + 3*g1^7*t^8.32*y + g1^11*t^8.36*y + g1^15*t^8.39*y - (t^8.81*y)/g1^20 - (t^8.85*y)/g1^16 + (2*t^8.92*y)/g1^8 + (3*t^8.96*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 |
|---|---|---|---|---|---|---|---|---|
| 6534 | $M_1q_1q_2$ + $ 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}_2$ + $ M_4M_9$ | 0.644 | 0.8474 | 0.76 | [X:[], M:[1.0, 1.0137, 0.9726, 1.2534, 0.7192, 0.7466, 1.0274, 0.7329, 0.7466], q:[0.2466, 0.7534], qb:[0.5, 0.5274], phi:[0.4932]] | t^2.16 + t^2.2 + 2*t^2.24 + t^2.32 + t^2.96 + t^3. + t^3.04 + t^3.08 + t^3.72 + t^4.32 + t^4.36 + 3*t^4.4 + 2*t^4.44 + 5*t^4.48 + t^4.52 + 3*t^4.56 + 2*t^4.64 + t^5.12 + t^5.16 + 4*t^5.2 + 3*t^5.24 + 4*t^5.28 + 3*t^5.32 + t^5.36 + t^5.4 + t^5.88 + t^5.92 + 2*t^5.96 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
| 6533 | $M_1q_1q_2$ + $ 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}_2$ + $ M_9\phi_1q_1\tilde{q}_1$ | 0.6435 | 0.8462 | 0.7605 | [X:[], M:[1.0, 1.0095, 0.9809, 1.2524, 0.7285, 0.7476, 1.0191, 0.7381, 0.7572], q:[0.2476, 0.7524], qb:[0.5, 0.5191], phi:[0.4952]] | t^2.19 + t^2.21 + t^2.24 + t^2.27 + t^2.3 + t^2.97 + t^3. + t^3.03 + t^3.06 + t^3.76 + t^4.37 + t^4.4 + 2*t^4.43 + 2*t^4.46 + 4*t^4.49 + 2*t^4.51 + 3*t^4.54 + t^4.57 + 2*t^4.6 + t^5.16 + t^5.19 + 3*t^5.21 + 3*t^5.24 + 4*t^5.27 + 3*t^5.3 + 2*t^5.33 + t^5.36 + t^5.94 + t^5.97 - t^6. - t^4.49/y - t^4.49*y | detail | |
| 6532 | $M_1q_1q_2$ + $ 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}_2$ + $ M_9\phi_1q_1^2$ | 0.6241 | 0.8114 | 0.7692 | [X:[], M:[1.0, 1.0037, 0.9927, 1.2509, 0.7417, 0.7491, 1.0073, 0.7454, 1.0037], q:[0.2491, 0.7509], qb:[0.5, 0.5073], phi:[0.4982]] | t^2.23 + t^2.24 + t^2.25 + t^2.27 + t^3. + 2*t^3.01 + t^3.02 + t^3.74 + t^3.75 + t^4.45 + t^4.46 + 2*t^4.47 + t^4.48 + 3*t^4.49 + t^4.51 + 2*t^4.52 + 2*t^4.54 + 3*t^5.24 + 3*t^5.25 + 3*t^5.26 + 2*t^5.27 + 2*t^5.28 + t^5.29 + t^5.97 + t^5.98 + t^5.99 - 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 |