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 |
|---|---|---|---|---|---|---|---|---|---|
| 2908 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.6396 | 0.8457 | 0.7563 | [X:[], M:[0.9614, 1.1157, 0.9614, 0.8843, 0.7018, 0.6736], q:[0.7404, 0.2982], qb:[0.4807, 0.4036], phi:[0.5193]] | [X:[], M:[[4], [-12], [4], [12], [5], [-18]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_4$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ M_5M_6$, $ M_6q_2\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_6q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1^2$, $ M_4M_5$, $ M_4q_2\tilde{q}_2$, $ M_1M_6$, $ M_3M_6$, $ M_1M_5$, $ M_3M_5$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_4^2$, $ M_6\phi_1q_2^2$, $ M_5\phi_1q_2^2$, $ M_6q_1\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1M_4$, $ M_3M_4$, $ M_5q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_6q_1\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_6\phi_1q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_5q_1\tilde{q}_1$, $ M_5\phi_1q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$ | -1 | t^2.02 + 2*t^2.11 + t^2.34 + t^2.65 + 2*t^2.88 + t^3.35 + t^3.43 + 2*t^3.66 + t^4.04 + 2*t^4.13 + 4*t^4.21 + t^4.36 + 3*t^4.44 + 2*t^4.67 + 2*t^4.76 + 2*t^4.91 + 5*t^4.99 + 2*t^5.22 + t^5.31 + t^5.37 + 2*t^5.45 + 4*t^5.54 + 2*t^5.68 + 6*t^5.77 - t^6. + t^6.06 + t^6.08 + 2*t^6.15 + 3*t^6.23 + 8*t^6.32 + t^6.38 + 3*t^6.46 + 6*t^6.55 + 3*t^6.69 + 2*t^6.78 + 4*t^6.86 + 2*t^6.93 + 5*t^7.01 + 11*t^7.09 + t^7.24 + 5*t^7.33 + t^7.39 + 2*t^7.41 + 2*t^7.47 + 3*t^7.56 + 8*t^7.64 + 2*t^7.7 + 4*t^7.79 + 11*t^7.87 + t^7.96 - t^8.02 + t^8.08 - t^8.11 + 2*t^8.17 + 4*t^8.19 + 3*t^8.25 + 2*t^8.34 + t^8.4 + 14*t^8.42 + 3*t^8.48 + 3*t^8.57 + 9*t^8.65 + 3*t^8.72 + t^8.74 + 3*t^8.8 - 3*t^8.88 + 2*t^8.95 + 8*t^8.97 - t^4.56/y - t^6.58/y - t^6.66/y + (2*t^7.13)/y + t^7.21/y + t^7.36/y + t^7.44/y + (2*t^7.67)/y + (2*t^7.76)/y + (2*t^7.91)/y + (5*t^7.99)/y + (2*t^8.22)/y + t^8.37/y + (4*t^8.45)/y + (5*t^8.54)/y - t^8.6/y + (2*t^8.68)/y + (5*t^8.77)/y - t^4.56*y - t^6.58*y - t^6.66*y + 2*t^7.13*y + t^7.21*y + t^7.36*y + t^7.44*y + 2*t^7.67*y + 2*t^7.76*y + 2*t^7.91*y + 5*t^7.99*y + 2*t^8.22*y + t^8.37*y + 4*t^8.45*y + 5*t^8.54*y - t^8.6*y + 2*t^8.68*y + 5*t^8.77*y | t^2.02/g1^18 + 2*g1^5*t^2.11 + t^2.34/g1^3 + g1^12*t^2.65 + 2*g1^4*t^2.88 + t^3.35/g1^12 + g1^11*t^3.43 + 2*g1^3*t^3.66 + t^4.04/g1^36 + (2*t^4.13)/g1^13 + 4*g1^10*t^4.21 + t^4.36/g1^21 + 3*g1^2*t^4.44 + (2*t^4.67)/g1^6 + 2*g1^17*t^4.76 + (2*t^4.91)/g1^14 + 5*g1^9*t^4.99 + 2*g1*t^5.22 + g1^24*t^5.31 + t^5.37/g1^30 + (2*t^5.45)/g1^7 + 4*g1^16*t^5.54 + (2*t^5.68)/g1^15 + 6*g1^8*t^5.77 - t^6. + t^6.06/g1^54 + g1^23*t^6.08 + (2*t^6.15)/g1^31 + (3*t^6.23)/g1^8 + 8*g1^15*t^6.32 + t^6.38/g1^39 + (3*t^6.46)/g1^16 + 6*g1^7*t^6.55 + (3*t^6.69)/g1^24 + (2*t^6.78)/g1 + 4*g1^22*t^6.86 + (2*t^6.93)/g1^32 + (5*t^7.01)/g1^9 + 11*g1^14*t^7.09 + t^7.24/g1^17 + 5*g1^6*t^7.33 + t^7.39/g1^48 + 2*g1^29*t^7.41 + (2*t^7.47)/g1^25 + (3*t^7.56)/g1^2 + 8*g1^21*t^7.64 + (2*t^7.7)/g1^33 + (4*t^7.79)/g1^10 + 11*g1^13*t^7.87 + g1^36*t^7.96 - t^8.02/g1^18 + t^8.08/g1^72 - g1^5*t^8.11 + (2*t^8.17)/g1^49 + 4*g1^28*t^8.19 + (3*t^8.25)/g1^26 + (2*t^8.34)/g1^3 + t^8.4/g1^57 + 14*g1^20*t^8.42 + (3*t^8.48)/g1^34 + (3*t^8.57)/g1^11 + 9*g1^12*t^8.65 + (3*t^8.72)/g1^42 + g1^35*t^8.74 + (3*t^8.8)/g1^19 - 3*g1^4*t^8.88 + (2*t^8.95)/g1^50 + 8*g1^27*t^8.97 - t^4.56/(g1^2*y) - t^6.58/(g1^20*y) - (g1^3*t^6.66)/y + (2*t^7.13)/(g1^13*y) + (g1^10*t^7.21)/y + t^7.36/(g1^21*y) + (g1^2*t^7.44)/y + (2*t^7.67)/(g1^6*y) + (2*g1^17*t^7.76)/y + (2*t^7.91)/(g1^14*y) + (5*g1^9*t^7.99)/y + (2*g1*t^8.22)/y + t^8.37/(g1^30*y) + (4*t^8.45)/(g1^7*y) + (5*g1^16*t^8.54)/y - t^8.6/(g1^38*y) + (2*t^8.68)/(g1^15*y) + (5*g1^8*t^8.77)/y - (t^4.56*y)/g1^2 - (t^6.58*y)/g1^20 - g1^3*t^6.66*y + (2*t^7.13*y)/g1^13 + g1^10*t^7.21*y + (t^7.36*y)/g1^21 + g1^2*t^7.44*y + (2*t^7.67*y)/g1^6 + 2*g1^17*t^7.76*y + (2*t^7.91*y)/g1^14 + 5*g1^9*t^7.99*y + 2*g1*t^8.22*y + (t^8.37*y)/g1^30 + (4*t^8.45*y)/g1^7 + 5*g1^16*t^8.54*y - (t^8.6*y)/g1^38 + (2*t^8.68*y)/g1^15 + 5*g1^8*t^8.77*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 3496 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7\phi_1q_2^2$ | 0.651 | 0.8665 | 0.7513 | [X:[], M:[0.9534, 1.1397, 0.9534, 0.8603, 0.6918, 0.7095, 0.8603], q:[0.7384, 0.3082], qb:[0.4767, 0.3836], phi:[0.5233]] | 2*t^2.08 + t^2.13 + t^2.35 + 2*t^2.58 + 2*t^2.86 + t^3.37 + 2*t^3.65 + 4*t^4.15 + 2*t^4.2 + t^4.26 + 3*t^4.43 + t^4.48 + 4*t^4.66 + 3*t^4.71 + 6*t^4.94 + 2*t^4.99 + 3*t^5.16 + 2*t^5.22 + 6*t^5.44 + 6*t^5.72 + t^5.77 + 2*t^5.95 - 2*t^6. - t^4.57/y - t^4.57*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1886 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_1^2$ | 0.6188 | 0.8048 | 0.7688 | [X:[], M:[0.9605, 1.1186, 0.9605, 0.8814, 0.7006], q:[0.7401, 0.2994], qb:[0.4802, 0.4012], phi:[0.5198]] | 2*t^2.1 + t^2.34 + t^2.64 + 2*t^2.88 + t^3.36 + t^3.42 + 2*t^3.66 + t^3.97 + 4*t^4.2 + 3*t^4.44 + t^4.68 + 2*t^4.75 + 5*t^4.98 + 2*t^5.22 + t^5.29 + t^5.46 + 4*t^5.53 + 6*t^5.76 - t^6. - t^4.56/y - t^4.56*y | detail |