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 |
|---|---|---|---|---|---|---|---|---|---|
| 3680 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6454 | 0.8481 | 0.761 | [X:[], M:[1.0, 0.9472, 0.7566, 0.7038, 1.0528, 0.7302], q:[0.7566, 0.2434], qb:[0.5132, 0.5396], phi:[0.4868]] | [X:[], M:[[0], [-8], [1], [-7], [8], [-3]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_3$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_1$, $ M_5$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_4M_6$, $ M_3M_4$, $ M_6^2$, $ M_4q_2\tilde{q}_1$, $ M_3M_6$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_3^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_6q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ M_4\phi_1q_2^2$, $ M_1M_4$, $ M_6\phi_1^2$, $ M_6\phi_1q_2^2$, $ M_1M_6$, $ M_3\phi_1^2$, $ M_3\phi_1q_2^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_1M_3$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_5$, $ M_5q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ \phi_1^4$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$, $ M_1\phi_1^2$, $ M_4\phi_1q_2\tilde{q}_2$ | . | -2 | t^2.11 + t^2.19 + 2*t^2.27 + t^2.35 + 2*t^2.92 + t^3. + t^3.16 + t^3.81 + t^4.22 + t^4.3 + 3*t^4.38 + 3*t^4.46 + 5*t^4.54 + 3*t^4.62 + 2*t^4.7 + 2*t^5.03 + 2*t^5.11 + 4*t^5.19 + 5*t^5.27 + 2*t^5.35 + 2*t^5.43 + t^5.51 + 3*t^5.84 + t^5.92 - 2*t^6. + 2*t^6.08 + t^6.16 + t^6.32 + t^6.33 + t^6.41 + 3*t^6.49 + 3*t^6.57 + 5*t^6.65 + 7*t^6.73 + 8*t^6.81 + 5*t^6.89 + 5*t^6.97 + 2*t^7.05 + 2*t^7.14 + 2*t^7.22 + 5*t^7.3 + 6*t^7.38 + 8*t^7.46 + 8*t^7.54 + 7*t^7.62 + 5*t^7.7 + 2*t^7.78 + 2*t^7.86 + 3*t^7.95 + 2*t^8.03 + t^8.11 + 2*t^8.19 - 5*t^8.27 - 2*t^8.35 + t^8.43 + t^8.45 + 2*t^8.51 + t^8.52 + 2*t^8.59 + 3*t^8.6 + t^8.67 + 3*t^8.68 + 10*t^8.76 + 6*t^8.84 + 2*t^8.92 - t^4.46/y - t^6.57/y - t^6.65/y - t^6.73/y + t^7.3/y + t^7.38/y + (3*t^7.46)/y + (3*t^7.54)/y + (2*t^7.62)/y + (2*t^8.03)/y + (3*t^8.11)/y + (6*t^8.19)/y + (6*t^8.27)/y + (3*t^8.35)/y + (2*t^8.43)/y + t^8.51/y - t^8.68/y - t^8.76/y - t^8.84/y + (2*t^8.92)/y - t^4.46*y - t^6.57*y - t^6.65*y - t^6.73*y + t^7.3*y + t^7.38*y + 3*t^7.46*y + 3*t^7.54*y + 2*t^7.62*y + 2*t^8.03*y + 3*t^8.11*y + 6*t^8.19*y + 6*t^8.27*y + 3*t^8.35*y + 2*t^8.43*y + t^8.51*y - t^8.68*y - t^8.76*y - t^8.84*y + 2*t^8.92*y | t^2.11/g1^7 + t^2.19/g1^3 + 2*g1*t^2.27 + g1^5*t^2.35 + (2*t^2.92)/g1^4 + t^3. + g1^8*t^3.16 + g1^3*t^3.81 + t^4.22/g1^14 + t^4.3/g1^10 + (3*t^4.38)/g1^6 + (3*t^4.46)/g1^2 + 5*g1^2*t^4.54 + 3*g1^6*t^4.62 + 2*g1^10*t^4.7 + (2*t^5.03)/g1^11 + (2*t^5.11)/g1^7 + (4*t^5.19)/g1^3 + 5*g1*t^5.27 + 2*g1^5*t^5.35 + 2*g1^9*t^5.43 + g1^13*t^5.51 + (3*t^5.84)/g1^8 + t^5.92/g1^4 - 2*t^6. + 2*g1^4*t^6.08 + g1^8*t^6.16 + g1^16*t^6.32 + t^6.33/g1^21 + t^6.41/g1^17 + (3*t^6.49)/g1^13 + (3*t^6.57)/g1^9 + (5*t^6.65)/g1^5 + (7*t^6.73)/g1 + 8*g1^3*t^6.81 + 5*g1^7*t^6.89 + 5*g1^11*t^6.97 + 2*g1^15*t^7.05 + (2*t^7.14)/g1^18 + (2*t^7.22)/g1^14 + (5*t^7.3)/g1^10 + (6*t^7.38)/g1^6 + (8*t^7.46)/g1^2 + 8*g1^2*t^7.54 + 7*g1^6*t^7.62 + 5*g1^10*t^7.7 + 2*g1^14*t^7.78 + 2*g1^18*t^7.86 + (3*t^7.95)/g1^15 + (2*t^8.03)/g1^11 + t^8.11/g1^7 + (2*t^8.19)/g1^3 - 5*g1*t^8.27 - 2*g1^5*t^8.35 + g1^9*t^8.43 + t^8.45/g1^28 + 2*g1^13*t^8.51 + t^8.52/g1^24 + 2*g1^17*t^8.59 + (3*t^8.6)/g1^20 + g1^21*t^8.67 + (3*t^8.68)/g1^16 + (10*t^8.76)/g1^12 + (6*t^8.84)/g1^8 + (2*t^8.92)/g1^4 - t^4.46/(g1^2*y) - t^6.57/(g1^9*y) - t^6.65/(g1^5*y) - t^6.73/(g1*y) + t^7.3/(g1^10*y) + t^7.38/(g1^6*y) + (3*t^7.46)/(g1^2*y) + (3*g1^2*t^7.54)/y + (2*g1^6*t^7.62)/y + (2*t^8.03)/(g1^11*y) + (3*t^8.11)/(g1^7*y) + (6*t^8.19)/(g1^3*y) + (6*g1*t^8.27)/y + (3*g1^5*t^8.35)/y + (2*g1^9*t^8.43)/y + (g1^13*t^8.51)/y - t^8.68/(g1^16*y) - t^8.76/(g1^12*y) - t^8.84/(g1^8*y) + (2*t^8.92)/(g1^4*y) - (t^4.46*y)/g1^2 - (t^6.57*y)/g1^9 - (t^6.65*y)/g1^5 - (t^6.73*y)/g1 + (t^7.3*y)/g1^10 + (t^7.38*y)/g1^6 + (3*t^7.46*y)/g1^2 + 3*g1^2*t^7.54*y + 2*g1^6*t^7.62*y + (2*t^8.03*y)/g1^11 + (3*t^8.11*y)/g1^7 + (6*t^8.19*y)/g1^3 + 6*g1*t^8.27*y + 3*g1^5*t^8.35*y + 2*g1^9*t^8.43*y + g1^13*t^8.51*y - (t^8.68*y)/g1^16 - (t^8.76*y)/g1^12 - (t^8.84*y)/g1^8 + (2*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 3946 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_6M_7$ | 0.6256 | 0.8117 | 0.7708 | [X:[], M:[1.0, 0.9548, 0.7556, 0.7105, 1.0452, 0.7331, 1.2669], q:[0.7556, 0.2444], qb:[0.5113, 0.5339], phi:[0.4887]] | t^2.13 + 2*t^2.27 + t^2.33 + 2*t^2.93 + t^3. + t^3.14 + 2*t^3.8 + t^4.26 + 2*t^4.4 + t^4.47 + 4*t^4.53 + 3*t^4.6 + 2*t^4.67 + 2*t^5.06 + 3*t^5.2 + 5*t^5.27 + t^5.33 + 2*t^5.4 + t^5.47 + 3*t^5.86 + 2*t^5.93 - 3*t^6. - t^4.47/y - t^4.47*y | detail | |
| 3947 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.6652 | 0.8849 | 0.7517 | [X:[], M:[1.0, 0.9401, 0.7575, 0.6976, 1.0599, 0.7275, 0.7275], q:[0.7575, 0.2425], qb:[0.515, 0.5449], phi:[0.485]] | t^2.09 + 2*t^2.18 + 2*t^2.27 + t^2.36 + 2*t^2.91 + t^3. + t^3.18 + t^4.19 + 2*t^4.28 + 5*t^4.37 + 5*t^4.46 + 6*t^4.54 + 3*t^4.63 + 2*t^4.72 + 2*t^5. + 4*t^5.09 + 5*t^5.18 + 5*t^5.27 + 3*t^5.36 + 2*t^5.45 + t^5.54 + 3*t^5.82 - 3*t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3256 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_1$ | 0.6466 | 0.8508 | 0.76 | [X:[], M:[1.0, 0.9304, 0.7331, 0.7146, 1.0696, 0.6983], q:[0.7587, 0.2413], qb:[0.543, 0.5267], phi:[0.4826]] | t^2.09 + t^2.14 + t^2.2 + t^2.3 + t^2.35 + 2*t^2.9 + t^3. + t^3.21 + t^3.75 + t^4.19 + t^4.24 + 2*t^4.29 + t^4.34 + 2*t^4.4 + 2*t^4.45 + 2*t^4.5 + t^4.55 + 2*t^4.61 + 2*t^4.66 + 2*t^4.71 + 2*t^4.99 + 2*t^5.04 + 2*t^5.09 + 3*t^5.2 + 2*t^5.25 + 2*t^5.3 + 2*t^5.35 + t^5.41 + t^5.51 + t^5.56 + 3*t^5.79 + t^5.85 + 2*t^5.9 - 3*t^6. - t^4.45/y - t^4.45*y | detail |