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 |
|---|---|---|---|---|---|---|---|---|---|
| 2917 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6465 | 0.8492 | 0.7613 | [X:[], M:[0.979, 1.063, 1.021, 0.937, 0.7366, 0.7949, 0.7786], q:[0.7448, 0.2762], qb:[0.4767, 0.4603], phi:[0.5105]] | [X:[], M:[[4, 4], [-12, -12], [-4, -4], [12, 12], [-5, 7], [-1, -13], [-13, -1]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_7$, $ M_6$, $ M_4$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_5M_7$, $ M_7q_2\tilde{q}_2$, $ M_5M_6$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_1$, $ M_7^2$, $ M_6M_7$, $ M_6^2$, $ M_4M_5$, $ M_4q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_5$, $ M_5\phi_1^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3M_7$, $ M_7\phi_1^2$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_3M_6$, $ M_6\phi_1^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_7\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ M_4^2$, $ M_3M_4$, $ M_4\phi_1^2$, $ M_5\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$ | -2 | 2*t^2.21 + t^2.26 + t^2.34 + t^2.38 + t^2.81 + 2*t^3.06 + t^3.19 + t^3.74 + t^4.29 + t^4.34 + t^4.39 + 3*t^4.42 + 2*t^4.47 + t^4.52 + 2*t^4.55 + 3*t^4.59 + t^4.64 + t^4.67 + t^4.72 + t^4.77 + 2*t^5.02 + t^5.07 + t^5.15 + t^5.2 + 4*t^5.27 + 2*t^5.32 + 3*t^5.4 + 2*t^5.45 + t^5.52 + t^5.57 + t^5.62 + t^5.87 + t^5.95 - 2*t^6. - t^6.05 + t^6.08 + 2*t^6.13 + 2*t^6.25 + t^6.38 + 2*t^6.5 + 2*t^6.55 + t^6.6 + 5*t^6.63 + t^6.65 + 3*t^6.68 + 2*t^6.73 + 3*t^6.76 + 2*t^6.78 + 5*t^6.8 + t^6.85 + 2*t^6.88 + t^6.9 + 3*t^6.93 + 2*t^6.98 + t^7.01 + t^7.03 + t^7.06 + t^7.1 + t^7.11 + 2*t^7.15 + t^7.2 + 2*t^7.23 + t^7.28 + 3*t^7.36 + 2*t^7.41 + 2*t^7.45 + 7*t^7.48 + 2*t^7.53 + 2*t^7.58 + 5*t^7.61 + 5*t^7.66 + 2*t^7.71 + 3*t^7.73 + 3*t^7.78 + 4*t^7.83 + t^7.86 + t^7.88 + t^7.91 + t^7.96 + t^8.03 - t^8.13 + t^8.16 - 5*t^8.21 - 4*t^8.26 + t^8.29 - t^8.31 + t^8.34 - 2*t^8.38 + t^8.41 + 4*t^8.46 + 2*t^8.51 + 4*t^8.59 + 3*t^8.64 + 2*t^8.69 + 4*t^8.71 + t^8.73 + 3*t^8.76 + t^8.78 - 2*t^8.81 + 7*t^8.84 + 4*t^8.89 + t^8.91 + 5*t^8.96 + 2*t^8.99 - t^4.53/y - t^6.74/y - t^6.87/y - t^6.92/y + t^7.42/y + (3*t^7.47)/y + (2*t^7.55)/y + (2*t^7.59)/y + t^7.64/y + t^7.72/y + (2*t^8.02)/y + t^8.07/y + (2*t^8.15)/y + (2*t^8.2)/y + (4*t^8.27)/y + (3*t^8.32)/y + (4*t^8.4)/y + (3*t^8.45)/y + t^8.52/y + t^8.57/y + (2*t^8.87)/y + t^8.95/y - t^4.53*y - t^6.74*y - t^6.87*y - t^6.92*y + t^7.42*y + 3*t^7.47*y + 2*t^7.55*y + 2*t^7.59*y + t^7.64*y + t^7.72*y + 2*t^8.02*y + t^8.07*y + 2*t^8.15*y + 2*t^8.2*y + 4*t^8.27*y + 3*t^8.32*y + 4*t^8.4*y + 3*t^8.45*y + t^8.52*y + t^8.57*y + 2*t^8.87*y + t^8.95*y | (2*g2^7*t^2.21)/g1^5 + (g1^7*t^2.26)/g2^5 + t^2.34/(g1^13*g2) + t^2.38/(g1*g2^13) + g1^12*g2^12*t^2.81 + (2*t^3.06)/(g1^4*g2^4) + t^3.19/(g1^12*g2^12) + (g2^5*t^3.74)/g1^7 + (g2^22*t^4.29)/g1^2 + g1^10*g2^10*t^4.34 + (g1^22*t^4.39)/g2^2 + (3*g2^14*t^4.42)/g1^10 + 2*g1^2*g2^2*t^4.47 + (g1^14*t^4.52)/g2^10 + (2*g2^6*t^4.55)/g1^18 + (3*t^4.59)/(g1^6*g2^6) + (g1^6*t^4.64)/g2^18 + t^4.67/(g1^26*g2^2) + t^4.72/(g1^14*g2^14) + t^4.77/(g1^2*g2^26) + 2*g1^7*g2^19*t^5.02 + g1^19*g2^7*t^5.07 + (g2^11*t^5.15)/g1 + (g1^11*t^5.2)/g2 + (4*g2^3*t^5.27)/g1^9 + (2*g1^3*t^5.32)/g2^9 + (3*t^5.4)/(g1^17*g2^5) + (2*t^5.45)/(g1^5*g2^17) + t^5.52/(g1^25*g2^13) + t^5.57/(g1^13*g2^25) + g1^24*g2^24*t^5.62 + g1^8*g2^8*t^5.87 + (g2^12*t^5.95)/g1^12 - 2*t^6. - (g1^12*t^6.05)/g2^12 + (g2^4*t^6.08)/g1^20 + (2*t^6.13)/(g1^8*g2^8) + (2*t^6.25)/(g1^16*g2^16) + t^6.38/(g1^24*g2^24) + (2*g2^29*t^6.5)/g1^7 + 2*g1^5*g2^17*t^6.55 + g1^17*g2^5*t^6.6 + (5*g2^21*t^6.63)/g1^15 + (g1^29*t^6.65)/g2^7 + (3*g2^9*t^6.68)/g1^3 + (2*g1^9*t^6.73)/g2^3 + (3*g2^13*t^6.76)/g1^23 + (2*g1^21*t^6.78)/g2^15 + (5*g2*t^6.8)/g1^11 + (g1*t^6.85)/g2^11 + (2*g2^5*t^6.88)/g1^31 + (g1^13*t^6.9)/g2^23 + (3*t^6.93)/(g1^19*g2^7) + (2*t^6.98)/(g1^7*g2^19) + t^7.01/(g1^39*g2^3) + (g1^5*t^7.03)/g2^31 + t^7.06/(g1^27*g2^15) + g1^10*g2^34*t^7.1 + t^7.11/(g1^15*g2^27) + t^7.15/(g1^3*g2^39) + g1^22*g2^22*t^7.15 + g1^34*g2^10*t^7.2 + 2*g1^2*g2^26*t^7.23 + g1^14*g2^14*t^7.28 + (3*g2^18*t^7.36)/g1^6 + 2*g1^6*g2^6*t^7.41 + (2*g1^18*t^7.45)/g2^6 + (7*g2^10*t^7.48)/g1^14 + (2*t^7.53)/(g1^2*g2^2) + (2*g1^10*t^7.58)/g2^14 + (5*g2^2*t^7.61)/g1^22 + (5*t^7.66)/(g1^10*g2^10) + (2*g1^2*t^7.71)/g2^22 + (3*t^7.73)/(g1^30*g2^6) + (3*t^7.78)/(g1^18*g2^18) + (2*t^7.83)/(g1^6*g2^30) + 2*g1^19*g2^31*t^7.83 + t^7.86/(g1^38*g2^14) + g1^31*g2^19*t^7.88 + t^7.91/(g1^26*g2^26) + t^7.96/(g1^14*g2^38) + (g2^27*t^8.03)/g1^9 - g1^15*g2^3*t^8.13 + (g2^19*t^8.16)/g1^17 - (5*g2^7*t^8.21)/g1^5 - (4*g1^7*t^8.26)/g2^5 + (g2^11*t^8.29)/g1^25 - (g1^19*t^8.31)/g2^17 + t^8.34/(g1^13*g2) - (2*t^8.38)/(g1*g2^13) + (g2^3*t^8.41)/g1^33 - (g1^11*t^8.43)/g2^25 + g1^36*g2^36*t^8.43 + (4*t^8.46)/(g1^21*g2^9) + (2*t^8.51)/(g1^9*g2^21) + (3*t^8.59)/(g1^29*g2^17) + (g2^44*t^8.59)/g1^4 + (2*t^8.64)/(g1^17*g2^29) + g1^8*g2^32*t^8.64 + 2*g1^20*g2^20*t^8.69 + t^8.71/(g1^37*g2^25) + (3*g2^36*t^8.71)/g1^12 + g1^32*g2^8*t^8.73 + t^8.76/(g1^25*g2^37) + 2*g2^24*t^8.76 + (g1^44*t^8.78)/g2^4 - 2*g1^12*g2^12*t^8.81 + (7*g2^28*t^8.84)/g1^20 + (4*g2^16*t^8.89)/g1^8 + (g1^36*t^8.91)/g2^12 + (5*g2^20*t^8.96)/g1^28 + (2*g1^16*t^8.99)/g2^8 - t^4.53/(g1^2*g2^2*y) - (g2^5*t^6.74)/(g1^7*y) - t^6.87/(g1^15*g2^3*y) - t^6.92/(g1^3*g2^15*y) + (g2^14*t^7.42)/(g1^10*y) + (3*g1^2*g2^2*t^7.47)/y + (2*g2^6*t^7.55)/(g1^18*y) + (2*t^7.59)/(g1^6*g2^6*y) + (g1^6*t^7.64)/(g2^18*y) + t^7.72/(g1^14*g2^14*y) + (2*g1^7*g2^19*t^8.02)/y + (g1^19*g2^7*t^8.07)/y + (2*g2^11*t^8.15)/(g1*y) + (2*g1^11*t^8.2)/(g2*y) + (4*g2^3*t^8.27)/(g1^9*y) + (3*g1^3*t^8.32)/(g2^9*y) + (4*t^8.4)/(g1^17*g2^5*y) + (3*t^8.45)/(g1^5*g2^17*y) + t^8.52/(g1^25*g2^13*y) + t^8.57/(g1^13*g2^25*y) + (2*g1^8*g2^8*t^8.87)/y + (g2^12*t^8.95)/(g1^12*y) - (t^4.53*y)/(g1^2*g2^2) - (g2^5*t^6.74*y)/g1^7 - (t^6.87*y)/(g1^15*g2^3) - (t^6.92*y)/(g1^3*g2^15) + (g2^14*t^7.42*y)/g1^10 + 3*g1^2*g2^2*t^7.47*y + (2*g2^6*t^7.55*y)/g1^18 + (2*t^7.59*y)/(g1^6*g2^6) + (g1^6*t^7.64*y)/g2^18 + (t^7.72*y)/(g1^14*g2^14) + 2*g1^7*g2^19*t^8.02*y + g1^19*g2^7*t^8.07*y + (2*g2^11*t^8.15*y)/g1 + (2*g1^11*t^8.2*y)/g2 + (4*g2^3*t^8.27*y)/g1^9 + (3*g1^3*t^8.32*y)/g2^9 + (4*t^8.4*y)/(g1^17*g2^5) + (3*t^8.45*y)/(g1^5*g2^17) + (t^8.52*y)/(g1^25*g2^13) + (t^8.57*y)/(g1^13*g2^25) + 2*g1^8*g2^8*t^8.87*y + (g2^12*t^8.95*y)/g1^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3502 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6393 | 0.8394 | 0.7617 | [X:[], M:[0.9497, 1.1508, 1.0503, 0.8492, 0.7487, 0.8267, 0.8492], q:[0.7374, 0.3128], qb:[0.4133, 0.4359], phi:[0.5251]] | t^2.18 + 2*t^2.25 + t^2.48 + 2*t^2.55 + 2*t^3.15 + t^3.45 + t^3.82 + t^4.06 + t^4.12 + t^4.19 + t^4.36 + 2*t^4.42 + 3*t^4.49 + t^4.66 + 4*t^4.73 + 4*t^4.79 + t^4.96 + 2*t^5.03 + 3*t^5.1 + 2*t^5.33 + 4*t^5.4 + 2*t^5.63 + 4*t^5.7 - t^6. - t^4.58/y - t^4.58*y | detail | |
| 3503 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_8\phi_1q_2^2$ | 0.6546 | 0.8636 | 0.7581 | [X:[], M:[0.9622, 1.1135, 1.0378, 0.8865, 0.7329, 0.8239, 0.8085, 0.8865], q:[0.7405, 0.2973], qb:[0.4509, 0.4356], phi:[0.5189]] | 2*t^2.2 + t^2.24 + t^2.43 + t^2.47 + 2*t^2.66 + 2*t^3.11 + t^3.76 + t^4.17 + t^4.22 + t^4.26 + 3*t^4.4 + 2*t^4.44 + t^4.49 + 2*t^4.62 + 3*t^4.67 + t^4.72 + t^4.85 + 4*t^4.86 + 3*t^4.9 + t^4.94 + 2*t^5.09 + 2*t^5.13 + 4*t^5.31 + 3*t^5.32 + 2*t^5.36 + t^5.54 + t^5.59 + 3*t^5.77 + t^5.95 - 3*t^6. - t^4.56/y - t^4.56*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1893 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.6295 | 0.8188 | 0.7688 | [X:[], M:[0.9716, 1.0851, 1.0284, 0.9149, 0.7478, 0.7947], q:[0.7429, 0.2855], qb:[0.4525, 0.4624], phi:[0.5142]] | t^2.21 + 2*t^2.24 + t^2.38 + t^2.74 + 2*t^3.09 + t^3.26 + t^3.59 + t^3.79 + t^4.26 + t^4.29 + t^4.32 + t^4.43 + 2*t^4.46 + 3*t^4.49 + t^4.6 + 2*t^4.63 + t^4.77 + t^4.96 + 2*t^4.99 + t^5.13 + 2*t^5.3 + 4*t^5.33 + 2*t^5.47 + t^5.49 + t^5.5 + t^5.64 + t^5.8 + 3*t^5.83 - 2*t^6. - t^4.54/y - t^4.54*y | detail |