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 |
|---|---|---|---|---|---|---|---|---|---|
| 119 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ | 0.6689 | 0.8346 | 0.8015 | [X:[], M:[0.6982, 0.6982, 0.6982], q:[0.8254, 0.8254], qb:[0.4763, 0.4763], phi:[0.3491]] | [X:[], M:[[1, -4, -1], [0, 1, -5], [-1, -3, 0]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_2$, $ \phi_1^2$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_2^2$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_2M_3$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_1^2$, $ M_3\phi_1^2$, $ M_1M_3$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | $M_1\phi_1\tilde{q}_1^2$, $ M_2\phi_1\tilde{q}_1^2$, $ M_3\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$, $ M_2q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | 7 | 4*t^2.09 + t^2.86 + 4*t^3.91 + 10*t^4.19 + 5*t^4.95 + t^5.72 + 7*t^6. + 20*t^6.28 + 4*t^6.76 + 6*t^7.05 + 6*t^7.81 + 5*t^8.09 + 35*t^8.38 + t^8.57 + 3*t^8.86 - t^4.05/y - (4*t^6.14)/y + (6*t^7.19)/y + (8*t^7.95)/y - (10*t^8.24)/y - t^4.05*y - 4*t^6.14*y + 6*t^7.19*y + 8*t^7.95*y - 10*t^8.24*y | t^2.09/(g1*g2^3) + (g2*t^2.09)/g3^5 + t^2.09/(g2^2*g3^2) + (g1*t^2.09)/(g2^4*g3) + g2^3*g3^3*t^2.86 + (g2^5*t^3.91)/g3 + g2^2*g3^2*t^3.91 + g1*g3^3*t^3.91 + (g2*g3^4*t^3.91)/g1 + t^4.19/(g1^2*g2^6) + (g2^2*t^4.19)/g3^10 + t^4.19/(g2*g3^7) + (g1*t^4.19)/(g2^3*g3^6) + t^4.19/(g1*g2^2*g3^5) + t^4.19/(g2^4*g3^4) + (g1*t^4.19)/(g2^6*g3^3) + (g1^2*t^4.19)/(g2^8*g3^2) + t^4.19/(g1*g2^5*g3^2) + t^4.19/(g2^7*g3) + (g2^4*t^4.95)/g3^2 + 2*g2*g3*t^4.95 + (g1*g3^2*t^4.95)/g2 + (g3^3*t^4.95)/g1 + g2^6*g3^6*t^5.72 - 2*t^6. + (g2^6*t^6.)/g3^6 + (g2^3*t^6.)/g3^3 + (g1*g2*t^6.)/g3^2 + (g2^2*t^6.)/(g1*g3) + (g1*g3*t^6.)/g2^2 + (g1^2*g3^2*t^6.)/g2^4 + (g3^2*t^6.)/(g1*g2) + (g3^3*t^6.)/g2^3 + (g3^4*t^6.)/(g1^2*g2^2) + t^6.28/(g1^3*g2^9) + (g2^3*t^6.28)/g3^15 + t^6.28/g3^12 + (g1*t^6.28)/(g2^2*g3^11) + t^6.28/(g1*g2*g3^10) + t^6.28/(g2^3*g3^9) + (g1*t^6.28)/(g2^5*g3^8) + (g1^2*t^6.28)/(g2^7*g3^7) + t^6.28/(g1*g2^4*g3^7) + (2*t^6.28)/(g2^6*g3^6) + (g1*t^6.28)/(g2^8*g3^5) + t^6.28/(g1^2*g2^5*g3^5) + (g1^2*t^6.28)/(g2^10*g3^4) + t^6.28/(g1*g2^7*g3^4) + (g1^3*t^6.28)/(g2^12*g3^3) + t^6.28/(g2^9*g3^3) + (g1*t^6.28)/(g2^11*g3^2) + t^6.28/(g1^2*g2^8*g3^2) + t^6.28/(g1*g2^10*g3) + g2^8*g3^2*t^6.76 + g2^5*g3^5*t^6.76 + g1*g2^3*g3^6*t^6.76 + (g2^4*g3^7*t^6.76)/g1 + (g1*t^7.05)/g2^3 + (g2^5*t^7.05)/g3^7 + (g2^2*t^7.05)/g3^4 + (g1^2*g3*t^7.05)/g2^5 + (g3*t^7.05)/(g1*g2^2) + (g3^3*t^7.05)/(g1^2*g2^3) + (g2^10*t^7.81)/g3^2 + g2^7*g3*t^7.81 + g1*g2^2*g3^5*t^7.81 + g1^2*g3^6*t^7.81 + (g2^3*g3^6*t^7.81)/g1 + (g2^2*g3^8*t^7.81)/g1^2 + (g1^2*t^8.09)/g2^6 - (2*t^8.09)/(g1*g2^3) + (g2^7*t^8.09)/g3^11 + (g2^4*t^8.09)/g3^8 + (g1*g2^2*t^8.09)/g3^7 + (g2^3*t^8.09)/(g1*g3^6) - (2*g2*t^8.09)/g3^5 + (g1^2*t^8.09)/(g2^3*g3^3) - t^8.09/(g2^2*g3^2) - (2*g1*t^8.09)/(g2^4*g3) + t^8.09/(g1^2*g2*g3) + (g1^3*g3*t^8.09)/g2^8 + (g1*g3^2*t^8.09)/g2^7 + (g3^2*t^8.09)/(g1^2*g2^4) + (g3^3*t^8.09)/(g1*g2^6) + (g3^4*t^8.09)/(g1^3*g2^5) + t^8.38/(g1^4*g2^12) + (g2^4*t^8.38)/g3^20 + (g2*t^8.38)/g3^17 + (g1*t^8.38)/(g2*g3^16) + t^8.38/(g1*g3^15) + t^8.38/(g2^2*g3^14) + (g1*t^8.38)/(g2^4*g3^13) + (g1^2*t^8.38)/(g2^6*g3^12) + t^8.38/(g1*g2^3*g3^12) + (2*t^8.38)/(g2^5*g3^11) + (g1*t^8.38)/(g2^7*g3^10) + t^8.38/(g1^2*g2^4*g3^10) + (g1^2*t^8.38)/(g2^9*g3^9) + t^8.38/(g1*g2^6*g3^9) + (g1^3*t^8.38)/(g2^11*g3^8) + (2*t^8.38)/(g2^8*g3^8) + (2*g1*t^8.38)/(g2^10*g3^7) + t^8.38/(g1^2*g2^7*g3^7) + (g1^2*t^8.38)/(g2^12*g3^6) + (2*t^8.38)/(g1*g2^9*g3^6) + (g1^3*t^8.38)/(g2^14*g3^5) + t^8.38/(g2^11*g3^5) + t^8.38/(g1^3*g2^8*g3^5) + (g1^4*t^8.38)/(g2^16*g3^4) + (g1*t^8.38)/(g2^13*g3^4) + t^8.38/(g1^2*g2^10*g3^4) + (g1^2*t^8.38)/(g2^15*g3^3) + t^8.38/(g1*g2^12*g3^3) + t^8.38/(g2^14*g3^2) + t^8.38/(g1^3*g2^11*g3^2) + t^8.38/(g1^2*g2^13*g3) + g2^9*g3^9*t^8.57 + g2^6*t^8.86 + (g2^9*t^8.86)/g3^3 - 3*g2^3*g3^3*t^8.86 + g1*g2*g3^4*t^8.86 + (g1^2*g3^5*t^8.86)/g2 + (g2^2*g3^5*t^8.86)/g1 + (g2*g3^7*t^8.86)/g1^2 - t^4.05/(g2*g3*y) - t^6.14/(g3^6*y) - t^6.14/(g2^3*g3^3*y) - (g1*t^6.14)/(g2^5*g3^2*y) - t^6.14/(g1*g2^4*g3*y) + t^7.19/(g2*g3^7*y) + (g1*t^7.19)/(g2^3*g3^6*y) + t^7.19/(g1*g2^2*g3^5*y) + (g1*t^7.19)/(g2^6*g3^3*y) + t^7.19/(g1*g2^5*g3^2*y) + t^7.19/(g2^7*g3*y) + (g2^3*t^7.95)/(g1*y) + (g2^4*t^7.95)/(g3^2*y) + (g1*g2^2*t^7.95)/(g3*y) + (2*g2*g3*t^7.95)/y + (g1*g3^2*t^7.95)/(g2*y) + (g3^3*t^7.95)/(g1*y) + (g3^4*t^7.95)/(g2^2*y) - (g2*t^8.24)/(g3^11*y) - t^8.24/(g2^2*g3^8*y) - (g1*t^8.24)/(g2^4*g3^7*y) - t^8.24/(g1*g2^3*g3^6*y) - t^8.24/(g2^5*g3^5*y) - (g1*t^8.24)/(g2^7*g3^4*y) - (g1^2*t^8.24)/(g2^9*g3^3*y) - t^8.24/(g1*g2^6*g3^3*y) - t^8.24/(g2^8*g3^2*y) - t^8.24/(g1^2*g2^7*g3*y) - (t^4.05*y)/(g2*g3) - (t^6.14*y)/g3^6 - (t^6.14*y)/(g2^3*g3^3) - (g1*t^6.14*y)/(g2^5*g3^2) - (t^6.14*y)/(g1*g2^4*g3) + (t^7.19*y)/(g2*g3^7) + (g1*t^7.19*y)/(g2^3*g3^6) + (t^7.19*y)/(g1*g2^2*g3^5) + (g1*t^7.19*y)/(g2^6*g3^3) + (t^7.19*y)/(g1*g2^5*g3^2) + (t^7.19*y)/(g2^7*g3) + (g2^3*t^7.95*y)/g1 + (g2^4*t^7.95*y)/g3^2 + (g1*g2^2*t^7.95*y)/g3 + 2*g2*g3*t^7.95*y + (g1*g3^2*t^7.95*y)/g2 + (g3^3*t^7.95*y)/g1 + (g3^4*t^7.95*y)/g2^2 - (g2*t^8.24*y)/g3^11 - (t^8.24*y)/(g2^2*g3^8) - (g1*t^8.24*y)/(g2^4*g3^7) - (t^8.24*y)/(g1*g2^3*g3^6) - (t^8.24*y)/(g2^5*g3^5) - (g1*t^8.24*y)/(g2^7*g3^4) - (g1^2*t^8.24*y)/(g2^9*g3^3) - (t^8.24*y)/(g1*g2^6*g3^3) - (t^8.24*y)/(g2^8*g3^2) - (t^8.24*y)/(g1^2*g2^7*g3) |
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 |
|---|---|---|---|---|---|---|---|---|
| 190 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_1\phi_1^2$ | 0.5615 | 0.7218 | 0.7778 | [X:[], M:[1.1317, 0.7365, 0.7365], q:[0.5853, 0.9805], qb:[0.2829, 0.4147], phi:[0.4341]] | t^2.09 + 2*t^2.21 + t^2.6 + 2*t^3. + 2*t^3.4 + 2*t^4.19 + 2*t^4.3 + 3*t^4.42 + 2*t^4.7 + 2*t^4.81 + 2*t^5.09 + 4*t^5.21 + 2*t^5.49 + 4*t^5.6 + t^6. - t^4.3/y - t^4.3*y | detail | |
| 191 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6895 | 0.8743 | 0.7886 | [X:[], M:[0.6948, 0.6948, 0.6948, 0.6948], q:[0.8263, 0.8263], qb:[0.4789, 0.4789], phi:[0.3474]] | 5*t^2.08 + t^2.87 + 3*t^3.92 + 15*t^4.17 + 6*t^4.96 + t^5.75 + 6*t^6. - t^4.04/y - t^4.04*y | detail | |
| 195 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6895 | 0.8748 | 0.7882 | [X:[], M:[0.692, 0.7027, 0.692, 0.6884], q:[0.8261, 0.8261], qb:[0.4819, 0.4747], phi:[0.3478]] | t^2.07 + 2*t^2.08 + t^2.09 + t^2.11 + t^2.87 + 2*t^3.9 + t^3.91 + t^4.13 + 2*t^4.14 + 4*t^4.15 + 2*t^4.16 + 2*t^4.17 + 2*t^4.18 + t^4.19 + t^4.22 + t^4.94 + 2*t^4.95 + 2*t^4.96 + t^4.98 + t^5.74 + 2*t^5.97 + 4*t^5.98 + 2*t^5.99 - 2*t^6. - t^4.04/y - t^4.04*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 |
|---|---|---|---|---|---|---|---|---|---|
| 76 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ | 0.6485 | 0.7967 | 0.8141 | [X:[], M:[0.696, 0.696], q:[0.837, 0.8106], qb:[0.467, 0.4758], 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 |