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 |
|---|---|---|---|---|---|---|---|---|---|
| 1812 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ | 0.7088 | 0.8952 | 0.7917 | [X:[], M:[0.6835, 1.1055, 1.0045, 0.6745, 0.7845], q:[0.7764, 0.5401], qb:[0.4554, 0.4391], phi:[0.4473]] | [X:[], M:[[12, 12], [-4, -4], [7, 11], [-2, -10], [1, -3]], q:[[-1, -1], [-11, -11]], qb:[[4, 0], [0, 4]], phi:[[2, 2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_5$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ M_3$, $ M_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_1M_4$, $ \phi_1\tilde{q}_1^2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ M_1M_5$, $ \phi_1q_2^2$, $ M_5^2$, $ M_4\phi_1^2$, $ M_1\phi_1^2$, $ M_4q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_4$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_2M_4$, $ M_1M_2$, $ M_3M_5$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_5$, $ M_4q_1\tilde{q}_1$, $ q_2^2\tilde{q}_2^2$ | . | -2 | t^2.02 + t^2.05 + t^2.35 + t^2.68 + t^2.94 + t^3.01 + t^3.32 + t^3.7 + t^4.03 + t^4.05 + 2*t^4.07 + t^4.1 + t^4.28 + t^4.33 + t^4.38 + t^4.4 + t^4.58 + 2*t^4.71 + t^4.73 + t^4.96 + t^4.99 + 2*t^5.04 + t^5.06 + t^5.29 + t^5.34 + 3*t^5.37 + t^5.62 + t^5.67 + t^5.72 + t^5.88 - 2*t^6. + t^6.03 + t^6.05 + t^6.07 + t^6.08 + 2*t^6.1 + 2*t^6.12 + t^6.15 + t^6.33 + t^6.35 + 2*t^6.38 + t^6.4 + 2*t^6.43 + t^6.45 + t^6.61 + 2*t^6.63 + t^6.68 + t^6.71 + 2*t^6.73 + 3*t^6.76 + t^6.78 + t^6.94 + t^6.98 + 2*t^7.01 + t^7.04 + 3*t^7.06 + 2*t^7.09 + t^7.11 + t^7.22 + t^7.27 - t^7.29 + t^7.31 + t^7.36 + 4*t^7.39 + 3*t^7.42 + t^7.52 + t^7.64 + t^7.69 + 3*t^7.72 + t^7.74 + t^7.77 + t^7.9 - t^8.02 + t^8.07 + t^8.08 + t^8.09 + t^8.1 + 2*t^8.12 + t^8.13 + 3*t^8.15 + 2*t^8.18 + t^8.2 - 2*t^8.35 + 3*t^8.38 + 3*t^8.4 + t^8.42 + t^8.43 + 2*t^8.45 + 2*t^8.48 + t^8.51 + t^8.56 + 2*t^8.66 - t^8.68 + t^8.71 + 2*t^8.73 + 2*t^8.75 + t^8.76 + 4*t^8.78 + 4*t^8.81 + t^8.84 + t^8.86 + t^8.91 - 3*t^8.94 + t^8.96 - t^4.34/y - t^6.37/y - t^6.39/y - t^6.7/y + t^7.07/y + t^7.33/y - t^7.36/y + t^7.38/y + t^7.4/y + t^7.71/y + t^7.73/y + t^7.96/y + (2*t^7.99)/y + (2*t^8.04)/y + t^8.06/y + (2*t^8.29)/y + t^8.32/y + t^8.34/y + (2*t^8.37)/y - t^8.39/y - t^8.42/y - t^8.44/y + t^8.62/y + t^8.67/y + t^8.7/y + t^8.95/y - t^4.34*y - t^6.37*y - t^6.39*y - t^6.7*y + t^7.07*y + t^7.33*y - t^7.36*y + t^7.38*y + t^7.4*y + t^7.71*y + t^7.73*y + t^7.96*y + 2*t^7.99*y + 2*t^8.04*y + t^8.06*y + 2*t^8.29*y + t^8.32*y + t^8.34*y + 2*t^8.37*y - t^8.39*y - t^8.42*y - t^8.44*y + t^8.62*y + t^8.67*y + t^8.7*y + t^8.95*y | t^2.02/(g1^2*g2^10) + g1^12*g2^12*t^2.05 + (g1*t^2.35)/g2^3 + g1^4*g2^4*t^2.68 + t^2.94/(g1^11*g2^7) + g1^7*g2^11*t^3.01 + t^3.32/(g1^4*g2^4) + (g1^3*t^3.7)/g2 + g1^6*g2^6*t^4.03 + t^4.05/(g1^4*g2^20) + 2*g1^10*g2^2*t^4.07 + g1^24*g2^24*t^4.1 + t^4.28/(g1^9*g2^5) + t^4.33/(g1^5*g2^9) + t^4.38/(g1*g2^13) + g1^13*g2^9*t^4.4 + t^4.58/(g1^20*g2^20) + (2*g1^2*t^4.71)/g2^6 + g1^16*g2^16*t^4.73 + t^4.96/(g1^13*g2^17) + g1*g2^5*t^4.99 + 2*g1^5*g2*t^5.04 + g1^19*g2^23*t^5.06 + t^5.29/(g1^10*g2^10) + t^5.34/(g1^6*g2^14) + 3*g1^8*g2^8*t^5.37 + t^5.62/(g1^7*g2^3) + t^5.67/(g1^3*g2^7) + (g1*t^5.72)/g2^11 + t^5.88/(g1^22*g2^14) - 2*t^6. + g1^14*g2^22*t^6.03 + (g1^4*t^6.05)/g2^4 + t^6.07/(g1^6*g2^30) + g1^18*g2^18*t^6.08 + (2*g1^8*t^6.1)/g2^8 + 2*g1^22*g2^14*t^6.12 + g1^36*g2^36*t^6.15 + g1^3*g2^7*t^6.33 + t^6.35/(g1^7*g2^19) + 2*g1^7*g2^3*t^6.38 + t^6.4/(g1^3*g2^23) + (2*g1^11*t^6.43)/g2 + g1^25*g2^21*t^6.45 + t^6.61/(g1^22*g2^30) + (2*t^6.63)/(g1^8*g2^8) + t^6.68/(g1^4*g2^12) + g1^10*g2^10*t^6.71 + (2*t^6.73)/g2^16 + 3*g1^14*g2^6*t^6.76 + g1^28*g2^28*t^6.78 + t^6.94/(g1^19*g2^23) + t^6.98/(g1^15*g2^27) + (2*t^7.01)/(g1*g2^5) + g1^13*g2^17*t^7.04 + (3*g1^3*t^7.06)/g2^9 + 2*g1^17*g2^13*t^7.09 + g1^31*g2^35*t^7.11 + t^7.22/(g1^20*g2^12) + t^7.27/(g1^16*g2^16) - (g2^6*t^7.29)/g1^2 + t^7.31/(g1^12*g2^20) + t^7.36/(g1^8*g2^24) + (4*g1^6*t^7.39)/g2^2 + 3*g1^20*g2^20*t^7.42 + t^7.52/(g1^31*g2^27) + t^7.64/(g1^9*g2^13) + t^7.69/(g1^5*g2^17) + 3*g1^9*g2^5*t^7.72 + t^7.74/(g1*g2^21) + g1^13*g2*t^7.77 + t^7.9/(g1^24*g2^24) - t^8.02/(g1^2*g2^10) + (g1^2*t^8.07)/g2^14 + g1^26*g2^34*t^8.08 + t^8.09/(g1^8*g2^40) + g1^16*g2^8*t^8.1 + (2*g1^6*t^8.12)/g2^18 + g1^30*g2^30*t^8.13 + 3*g1^20*g2^4*t^8.15 + 2*g1^34*g2^26*t^8.18 + g1^48*g2^48*t^8.2 - (2*g1*t^8.35)/g2^3 + t^8.38/(g1^9*g2^29) + 2*g1^15*g2^19*t^8.38 + (3*g1^5*t^8.4)/g2^7 + t^8.42/(g1^5*g2^33) + g1^19*g2^15*t^8.43 + (2*g1^9*t^8.45)/g2^11 + 2*g1^23*g2^11*t^8.48 + g1^37*g2^33*t^8.51 + t^8.56/(g1^18*g2^10) + t^8.63/(g1^24*g2^40) - g2^8*t^8.63 + (2*t^8.66)/(g1^10*g2^18) - g1^4*g2^4*t^8.68 + t^8.71/(g1^6*g2^22) + 2*g1^8*t^8.73 + (2*t^8.75)/(g1^2*g2^26) + g1^22*g2^22*t^8.76 + (4*g1^12*t^8.78)/g2^4 + t^8.81/(g1^33*g2^21) + 3*g1^26*g2^18*t^8.81 + g1^40*g2^40*t^8.84 + t^8.86/(g1^29*g2^25) + t^8.91/(g1^25*g2^29) - (3*t^8.94)/(g1^11*g2^7) + t^8.96/(g1^21*g2^33) - (g1^2*g2^2*t^4.34)/y - t^6.37/(g2^8*y) - (g1^14*g2^14*t^6.39)/y - (g1^3*t^6.7)/(g2*y) + (g1^10*g2^2*t^7.07)/y + t^7.33/(g1^5*g2^9*y) - (g1^9*g2^13*t^7.36)/y + t^7.38/(g1*g2^13*y) + (g1^13*g2^9*t^7.4)/y + (g1^2*t^7.71)/(g2^6*y) + (g1^16*g2^16*t^7.73)/y + t^7.96/(g1^13*g2^17*y) + (2*g1*g2^5*t^7.99)/y + (2*g1^5*g2*t^8.04)/y + (g1^19*g2^23*t^8.06)/y + (2*t^8.29)/(g1^10*g2^10*y) + (g1^4*g2^12*t^8.32)/y + t^8.34/(g1^6*g2^14*y) + (2*g1^8*g2^8*t^8.37)/y - t^8.39/(g1^2*g2^18*y) - (g1^12*g2^4*t^8.42)/y - (g1^26*g2^26*t^8.44)/y + t^8.62/(g1^7*g2^3*y) + t^8.67/(g1^3*g2^7*y) + (g1^11*g2^15*t^8.7)/y + (g2^4*t^8.95)/(g1^4*y) - g1^2*g2^2*t^4.34*y - (t^6.37*y)/g2^8 - g1^14*g2^14*t^6.39*y - (g1^3*t^6.7*y)/g2 + g1^10*g2^2*t^7.07*y + (t^7.33*y)/(g1^5*g2^9) - g1^9*g2^13*t^7.36*y + (t^7.38*y)/(g1*g2^13) + g1^13*g2^9*t^7.4*y + (g1^2*t^7.71*y)/g2^6 + g1^16*g2^16*t^7.73*y + (t^7.96*y)/(g1^13*g2^17) + 2*g1*g2^5*t^7.99*y + 2*g1^5*g2*t^8.04*y + g1^19*g2^23*t^8.06*y + (2*t^8.29*y)/(g1^10*g2^10) + g1^4*g2^12*t^8.32*y + (t^8.34*y)/(g1^6*g2^14) + 2*g1^8*g2^8*t^8.37*y - (t^8.39*y)/(g1^2*g2^18) - g1^12*g2^4*t^8.42*y - g1^26*g2^26*t^8.44*y + (t^8.62*y)/(g1^7*g2^3) + (t^8.67*y)/(g1^3*g2^7) + g1^11*g2^15*t^8.7*y + (g2^4*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 2827 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ | 0.6011 | 0.7433 | 0.8087 | [X:[1.3686], M:[0.6314, 1.1229, 0.7952, 1.041, 0.959], q:[0.7807, 0.5879], qb:[0.6169, 0.2602], phi:[0.4386]] | t^2.39 + t^2.54 + t^2.63 + t^2.88 + t^3.12 + t^3.37 + t^3.86 + t^3.95 + t^4.11 + t^4.19 + t^4.77 + t^4.84 + t^4.93 + t^5.02 + t^5.09 + t^5.18 + 2*t^5.26 + t^5.42 + 2*t^5.51 + t^5.67 + 2*t^5.75 - t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 348 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6916 | 0.8641 | 0.8004 | [X:[], M:[0.6838, 1.1054, 0.9954, 0.6931], q:[0.7763, 0.5398], qb:[0.4648, 0.4298], phi:[0.4473]] | t^2.05 + t^2.08 + t^2.68 + t^2.91 + t^2.99 + t^3.32 + t^3.62 + t^3.72 + t^4.03 + t^4.1 + 2*t^4.13 + t^4.16 + t^4.25 + t^4.36 + t^4.58 + t^4.74 + t^4.76 + t^4.96 + t^4.99 + t^5.04 + t^5.07 + 2*t^5.37 + t^5.4 + t^5.59 + t^5.67 + t^5.7 + t^5.8 + t^5.82 + t^5.97 - 2*t^6. - t^4.34/y - t^4.34*y | detail |