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 |
|---|---|---|---|---|---|---|---|---|---|
| 1721 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4q_2\tilde{q}_1$ | 0.6895 | 0.8748 | 0.7882 | [X:[], M:[0.692, 0.7027, 0.6884, 0.692], q:[0.8261, 0.8261], qb:[0.4819, 0.4747], phi:[0.3478]] | [X:[], M:[[-7, -1], [2, -10], [-10, 2], [-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 |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ M_4$, $ \phi_1^2$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_1M_3$, $ M_3M_4$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_3\phi_1^2$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ M_2M_3$, $ \phi_1^4$, $ M_1M_2$, $ M_2M_4$, $ M_2\phi_1^2$, $ M_2^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_3\phi_1\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -2 | 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^6.2 + 2*t^6.21 + 4*t^6.22 + 6*t^6.23 + 5*t^6.24 + 4*t^6.25 + 5*t^6.26 + 2*t^6.27 + 2*t^6.28 + 2*t^6.29 + t^6.3 + t^6.32 + 2*t^6.77 + t^6.78 + t^7. + 2*t^7.01 + 4*t^7.02 + 2*t^7.03 + t^7.04 + t^7.06 + t^7.09 + 3*t^7.81 + 2*t^7.82 - 2*t^7.84 + 2*t^8.03 + 4*t^8.04 + 6*t^8.05 - 4*t^8.08 - 2*t^8.09 - 2*t^8.1 - 3*t^8.11 + t^8.26 + 2*t^8.27 + 4*t^8.28 + 6*t^8.29 + 10*t^8.3 + 8*t^8.31 + 8*t^8.33 + 8*t^8.34 + 6*t^8.35 + 4*t^8.36 + 5*t^8.37 + 2*t^8.38 + 2*t^8.39 + 2*t^8.4 + t^8.41 + t^8.43 + t^8.61 + 2*t^8.84 + 3*t^8.85 + 2*t^8.86 - 3*t^8.87 - 2*t^8.88 - t^8.89 - t^4.04/y - t^6.11/y - (2*t^6.12)/y - t^6.13/y - t^6.15/y + (2*t^7.14)/y + (2*t^7.15)/y + (2*t^7.16)/y + t^7.17/y + (2*t^7.18)/y + t^7.19/y + (2*t^7.94)/y + (2*t^7.95)/y + (2*t^7.96)/y + (2*t^7.97)/y + (2*t^7.98)/y - t^8.17/y - (2*t^8.18)/y - (4*t^8.2)/y - (2*t^8.21)/y - (2*t^8.22)/y - (2*t^8.23)/y - t^8.24/y - t^8.26/y + (2*t^8.97)/y + (5*t^8.98)/y + (4*t^8.99)/y - t^4.04*y - t^6.11*y - 2*t^6.12*y - t^6.13*y - t^6.15*y + 2*t^7.14*y + 2*t^7.15*y + 2*t^7.16*y + t^7.17*y + 2*t^7.18*y + t^7.19*y + 2*t^7.94*y + 2*t^7.95*y + 2*t^7.96*y + 2*t^7.97*y + 2*t^7.98*y - t^8.17*y - 2*t^8.18*y - 4*t^8.2*y - 2*t^8.21*y - 2*t^8.22*y - 2*t^8.23*y - t^8.24*y - t^8.26*y + 2*t^8.97*y + 5*t^8.98*y + 4*t^8.99*y | (g2^2*t^2.07)/g1^10 + (2*t^2.08)/(g1^7*g2) + t^2.09/(g1^4*g2^4) + (g1^2*t^2.11)/g2^10 + g1^6*g2^6*t^2.87 + 2*g1*g2^7*t^3.9 + g1^4*g2^4*t^3.91 + (g2^4*t^4.13)/g1^20 + (2*g2*t^4.14)/g1^17 + (4*t^4.15)/(g1^14*g2^2) + (2*t^4.16)/(g1^11*g2^5) + (2*t^4.17)/(g1^8*g2^8) + (2*t^4.18)/(g1^5*g2^11) + t^4.19/(g1^2*g2^14) + (g1^4*t^4.22)/g2^20 + (g2^8*t^4.94)/g1^4 + (2*g2^5*t^4.95)/g1 + 2*g1^2*g2^2*t^4.96 + (g1^8*t^4.98)/g2^4 + g1^12*g2^12*t^5.74 + (2*g2^9*t^5.97)/g1^9 + (4*g2^6*t^5.98)/g1^6 + (2*g2^3*t^5.99)/g1^3 - 2*t^6. + (g2^6*t^6.2)/g1^30 + (2*g2^3*t^6.21)/g1^27 + (4*t^6.22)/g1^24 + (6*t^6.23)/(g1^21*g2^3) + (5*t^6.24)/(g1^18*g2^6) + (4*t^6.25)/(g1^15*g2^9) + (5*t^6.26)/(g1^12*g2^12) + (2*t^6.27)/(g1^9*g2^15) + (2*t^6.28)/(g1^6*g2^18) + (2*t^6.29)/(g1^3*g2^21) + t^6.3/g2^24 + (g1^6*t^6.32)/g2^30 + 2*g1^7*g2^13*t^6.77 + g1^10*g2^10*t^6.78 + (g2^10*t^7.)/g1^14 + (2*g2^7*t^7.01)/g1^11 + (4*g2^4*t^7.02)/g1^8 + (2*g2*t^7.03)/g1^5 + t^7.04/(g1^2*g2^2) + (g1^4*t^7.06)/g2^8 + (g1^10*t^7.09)/g2^14 + 3*g1^2*g2^14*t^7.81 + 2*g1^5*g2^11*t^7.82 - 2*g1^11*g2^5*t^7.84 + (2*g2^11*t^8.03)/g1^19 + (4*g2^8*t^8.04)/g1^16 + (6*g2^5*t^8.05)/g1^13 - (4*t^8.08)/(g1^7*g2) - (2*t^8.09)/(g1^4*g2^4) - (2*t^8.1)/(g1*g2^7) - (3*g1^2*t^8.11)/g2^10 + (g2^8*t^8.26)/g1^40 + (2*g2^5*t^8.27)/g1^37 + (4*g2^2*t^8.28)/g1^34 + (6*t^8.29)/(g1^31*g2) + (10*t^8.3)/(g1^28*g2^4) + (8*t^8.31)/(g1^25*g2^7) + (8*t^8.33)/(g1^22*g2^10) + (8*t^8.34)/(g1^19*g2^13) + (6*t^8.35)/(g1^16*g2^16) + (4*t^8.36)/(g1^13*g2^19) + (5*t^8.37)/(g1^10*g2^22) + (2*t^8.38)/(g1^7*g2^25) + (2*t^8.39)/(g1^4*g2^28) + (2*t^8.4)/(g1*g2^31) + (g1^2*t^8.41)/g2^34 + (g1^8*t^8.43)/g2^40 + g1^18*g2^18*t^8.61 + (2*g2^15*t^8.84)/g1^3 + 3*g2^12*t^8.85 + 2*g1^3*g2^9*t^8.86 - 3*g1^6*g2^6*t^8.87 - 2*g1^9*g2^3*t^8.88 - g1^12*t^8.89 - t^4.04/(g1^2*g2^2*y) - t^6.11/(g1^12*y) - (2*t^6.12)/(g1^9*g2^3*y) - t^6.13/(g1^6*g2^6*y) - t^6.15/(g2^12*y) + (2*g2*t^7.14)/(g1^17*y) + (2*t^7.15)/(g1^14*g2^2*y) + (2*t^7.16)/(g1^11*g2^5*y) + t^7.17/(g1^8*g2^8*y) + (2*t^7.18)/(g1^5*g2^11*y) + t^7.19/(g1^2*g2^14*y) + (2*g2^8*t^7.94)/(g1^4*y) + (2*g2^5*t^7.95)/(g1*y) + (2*g1^2*g2^2*t^7.96)/y + (2*g1^5*t^7.97)/(g2*y) + (2*g1^8*t^7.98)/(g2^4*y) - (g2^2*t^8.17)/(g1^22*y) - (2*t^8.18)/(g1^19*g2*y) - (4*t^8.2)/(g1^16*g2^4*y) - (2*t^8.21)/(g1^13*g2^7*y) - (2*t^8.22)/(g1^10*g2^10*y) - (2*t^8.23)/(g1^7*g2^13*y) - t^8.24/(g1^4*g2^16*y) - (g1^2*t^8.26)/(g2^22*y) + (2*g2^9*t^8.97)/(g1^9*y) + (5*g2^6*t^8.98)/(g1^6*y) + (4*g2^3*t^8.99)/(g1^3*y) - (t^4.04*y)/(g1^2*g2^2) - (t^6.11*y)/g1^12 - (2*t^6.12*y)/(g1^9*g2^3) - (t^6.13*y)/(g1^6*g2^6) - (t^6.15*y)/g2^12 + (2*g2*t^7.14*y)/g1^17 + (2*t^7.15*y)/(g1^14*g2^2) + (2*t^7.16*y)/(g1^11*g2^5) + (t^7.17*y)/(g1^8*g2^8) + (2*t^7.18*y)/(g1^5*g2^11) + (t^7.19*y)/(g1^2*g2^14) + (2*g2^8*t^7.94*y)/g1^4 + (2*g2^5*t^7.95*y)/g1 + 2*g1^2*g2^2*t^7.96*y + (2*g1^5*t^7.97*y)/g2 + (2*g1^8*t^7.98*y)/g2^4 - (g2^2*t^8.17*y)/g1^22 - (2*t^8.18*y)/(g1^19*g2) - (4*t^8.2*y)/(g1^16*g2^4) - (2*t^8.21*y)/(g1^13*g2^7) - (2*t^8.22*y)/(g1^10*g2^10) - (2*t^8.23*y)/(g1^7*g2^13) - (t^8.24*y)/(g1^4*g2^16) - (g1^2*t^8.26*y)/g2^22 + (2*g2^9*t^8.97*y)/g1^9 + (5*g2^6*t^8.98*y)/g1^6 + (4*g2^3*t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 2724 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ | 0.5838 | 0.6909 | 0.845 | [X:[1.7137, 1.4275], M:[0.7156, 0.2863, 0.8588, 0.7156], q:[0.8569, 0.8569], qb:[0.4275, 0.7137], phi:[0.2863]] | 2*t^2.15 + t^2.58 + t^3.42 + 2*t^4.28 + 3*t^4.29 + 2*t^4.71 + 2*t^4.72 + t^5.14 + t^5.15 - 3*t^6. - t^3.86/y - t^3.86*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 |
|---|---|---|---|---|---|---|---|---|---|
| 151 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.6689 | 0.8347 | 0.8014 | [X:[], M:[0.6964, 0.7027, 0.6943], q:[0.8254, 0.8254], qb:[0.4782, 0.4741], phi:[0.3492]] | t^2.08 + t^2.09 + t^2.1 + t^2.11 + t^2.86 + 3*t^3.9 + t^3.91 + 2*t^4.17 + 3*t^4.18 + 2*t^4.19 + 2*t^4.2 + t^4.22 + t^4.94 + 3*t^4.95 + t^4.96 + t^5.71 + 2*t^5.98 + 4*t^5.99 - t^6. - t^4.05/y - t^4.05*y | detail |