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 |
|---|---|---|---|---|---|---|---|---|---|
| 60 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ | 0.628 | 0.7573 | 0.8293 | [X:[], M:[0.7035], q:[0.8228, 0.8228], qb:[0.4737, 0.4628], phi:[0.3545]] | [X:[], M:[[-7, -1]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_1q_2\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | $M_1q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | -1 | t^2.11 + t^2.13 + t^2.81 + t^3.84 + 2*t^3.86 + t^3.87 + t^3.89 + t^3.91 + t^4.22 + t^4.24 + t^4.25 + t^4.92 + 2*t^4.94 + t^5.62 + t^5.95 + 2*t^5.97 + t^5.98 - t^6. + t^6.33 + t^6.35 + t^6.36 + t^6.38 + t^6.65 + 2*t^6.67 + t^6.68 + t^6.7 + t^6.72 - 2*t^7.08 - t^7.1 + t^7.68 + 2*t^7.7 + 3*t^7.71 + 2*t^7.73 + 3*t^7.75 + t^7.76 + t^7.78 + t^7.8 + t^7.81 + t^8.06 + 2*t^8.08 + t^8.09 - t^8.11 - t^8.13 - t^8.14 + t^8.43 + t^8.44 + t^8.46 + t^8.47 + t^8.49 + t^8.51 + t^8.76 + 2*t^8.78 + t^8.79 - 2*t^8.81 - t^8.83 - t^4.06/y - t^6.17/y - t^6.19/y + t^7.24/y + t^7.92/y + (2*t^7.94)/y + t^7.95/y - t^8.28/y - t^8.3/y - t^8.32/y + t^8.95/y + (3*t^8.97)/y + (3*t^8.98)/y - t^4.06*y - t^6.17*y - t^6.19*y + t^7.24*y + t^7.92*y + 2*t^7.94*y + t^7.95*y - t^8.28*y - t^8.3*y - t^8.32*y + t^8.95*y + 3*t^8.97*y + 3*t^8.98*y | t^2.11/(g1^7*g2) + t^2.13/(g1^4*g2^4) + g1^6*g2^6*t^2.81 + (g2^10*t^3.84)/g1^2 + 2*g1*g2^7*t^3.86 + g1^4*g2^4*t^3.87 + g1^7*g2*t^3.89 + (g1^10*t^3.91)/g2^2 + t^4.22/(g1^14*g2^2) + t^4.24/(g1^11*g2^5) + t^4.25/(g1^8*g2^8) + (g2^5*t^4.92)/g1 + 2*g1^2*g2^2*t^4.94 + g1^12*g2^12*t^5.62 + (g2^9*t^5.95)/g1^9 + (2*g2^6*t^5.97)/g1^6 + (g2^3*t^5.98)/g1^3 - t^6. + t^6.33/(g1^21*g2^3) + t^6.35/(g1^18*g2^6) + t^6.36/(g1^15*g2^9) + t^6.38/(g1^12*g2^12) + g1^4*g2^16*t^6.65 + 2*g1^7*g2^13*t^6.67 + g1^10*g2^10*t^6.68 + g1^13*g2^7*t^6.7 + g1^16*g2^4*t^6.72 - (2*g1*t^7.08)/g2^5 - (g1^4*t^7.1)/g2^8 + (g2^20*t^7.68)/g1^4 + (2*g2^17*t^7.7)/g1 + 3*g1^2*g2^14*t^7.71 + 2*g1^5*g2^11*t^7.73 + 3*g1^8*g2^8*t^7.75 + g1^11*g2^5*t^7.76 + g1^14*g2^2*t^7.78 + (g1^17*t^7.8)/g2 + (g1^20*t^7.81)/g2^4 + (g2^8*t^8.06)/g1^16 + (2*g2^5*t^8.08)/g1^13 + (g2^2*t^8.09)/g1^10 - t^8.11/(g1^7*g2) - t^8.13/(g1^4*g2^4) - t^8.14/(g1*g2^7) + g1^18*g2^18*t^8.43 + t^8.44/(g1^28*g2^4) + t^8.46/(g1^25*g2^7) + t^8.47/(g1^22*g2^10) + t^8.49/(g1^19*g2^13) + t^8.51/(g1^16*g2^16) + (g2^15*t^8.76)/g1^3 + 2*g2^12*t^8.78 + g1^3*g2^9*t^8.79 - 2*g1^6*g2^6*t^8.81 - g1^9*g2^3*t^8.83 - t^4.06/(g1^2*g2^2*y) - t^6.17/(g1^9*g2^3*y) - t^6.19/(g1^6*g2^6*y) + t^7.24/(g1^11*g2^5*y) + (g2^5*t^7.92)/(g1*y) + (2*g1^2*g2^2*t^7.94)/y + (g1^5*t^7.95)/(g2*y) - t^8.28/(g1^16*g2^4*y) - t^8.3/(g1^13*g2^7*y) - t^8.32/(g1^10*g2^10*y) + (g2^9*t^8.95)/(g1^9*y) + (3*g2^6*t^8.97)/(g1^6*y) + (3*g2^3*t^8.98)/(g1^3*y) - (t^4.06*y)/(g1^2*g2^2) - (t^6.17*y)/(g1^9*g2^3) - (t^6.19*y)/(g1^6*g2^6) + (t^7.24*y)/(g1^11*g2^5) + (g2^5*t^7.92*y)/g1 + 2*g1^2*g2^2*t^7.94*y + (g1^5*t^7.95*y)/g2 - (t^8.28*y)/(g1^16*g2^4) - (t^8.3*y)/(g1^13*g2^7) - (t^8.32*y)/(g1^10*g2^10) + (g2^9*t^8.95*y)/g1^9 + (3*g2^6*t^8.97*y)/g1^6 + (3*g2^3*t^8.98*y)/g1^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 90 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_1\phi_1\tilde{q}_2^2$ | 0.6279 | 0.7568 | 0.8297 | [X:[], M:[0.7082], q:[0.823, 0.823], qb:[0.4689, 0.4689], phi:[0.3541]] | 2*t^2.12 + t^2.81 + 6*t^3.88 + 3*t^4.25 + 3*t^4.94 + t^5.63 + 3*t^6. - t^4.06/y - t^4.06*y | detail | |
| 91 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ | 0.5344 | 0.6715 | 0.7957 | [X:[], M:[1.0], q:[0.7805, 0.7805], qb:[0.2195, 0.4638], phi:[0.4389]] | t^2.05 + 2*t^2.63 + 2*t^3. + t^3.37 + 2*t^3.73 + 2*t^4.1 + 3*t^4.68 + 2*t^5.05 + 2*t^5.27 + t^5.42 + 2*t^5.63 + 2*t^5.78 + t^6. - t^4.32/y - t^4.32*y | detail | |
| 93 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6484 | 0.7957 | 0.8149 | [X:[], M:[0.6984, 0.7032], q:[0.8242, 0.8242], qb:[0.4774, 0.4679], phi:[0.3516]] | t^2.1 + 2*t^2.11 + t^2.84 + t^3.86 + 2*t^3.88 + t^3.9 + t^3.92 + t^4.19 + 2*t^4.2 + 3*t^4.22 + t^4.93 + 3*t^4.95 + t^5.67 + t^5.96 + 3*t^5.97 + 2*t^5.99 - 2*t^6. - t^4.05/y - t^4.05*y | detail | |
| 92 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ | 0.6484 | 0.7955 | 0.815 | [X:[], M:[0.7061, 0.6966], q:[0.8243, 0.8243], qb:[0.4696, 0.4759], phi:[0.3515]] | t^2.09 + t^2.11 + t^2.12 + t^2.84 + t^3.87 + t^3.88 + t^3.89 + 2*t^3.9 + t^4.18 + t^4.2 + t^4.21 + t^4.22 + t^4.23 + t^4.24 + t^4.93 + 2*t^4.95 + t^4.96 + t^5.67 + t^5.96 + t^5.97 + t^5.98 + 2*t^5.99 - t^6. - t^4.05/y - t^4.05*y | detail | |
| 1702 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2q_2\tilde{q}_1$ | 0.6485 | 0.7967 | 0.8141 | [X:[], M:[0.696, 0.696], q:[0.8238, 0.8238], qb:[0.4802, 0.4626], phi:[0.3524]] | 2*t^2.09 + t^2.11 + t^2.83 + t^3.83 + 2*t^3.86 + t^3.89 + t^3.94 + 3*t^4.18 + 2*t^4.2 + t^4.23 + 2*t^4.92 + 2*t^4.94 + t^5.66 + 2*t^5.92 + 4*t^5.95 + 2*t^5.97 - 2*t^6. - t^4.06/y - t^4.06*y | detail | |
| 87 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ \phi_1^2X_1$ | 0.4723 | 0.5327 | 0.8867 | [X:[1.5173], M:[0.7241], q:[0.8793, 0.8793], qb:[0.3966, 0.8793], phi:[0.2414]] | t^2.17 + t^3.1 + 2*t^3.83 + t^4.34 + t^4.55 + t^5.28 - 2*t^6. - t^3.72/y - t^5.9/y - t^3.72*y - t^5.9*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 |
|---|---|---|---|---|---|---|---|---|---|
| 43 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ | 0.6076 | 0.7195 | 0.8446 | [X:[], M:[], q:[0.8211, 0.8211], qb:[0.4632, 0.4632], phi:[0.3578]] | t^2.15 + t^2.78 + 7*t^3.85 + t^4.29 + 2*t^4.93 + t^5.56 - 2*t^6. - t^4.07/y - t^4.07*y | detail |