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 |
|---|---|---|---|---|---|---|---|---|---|
| 1567 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ M_1M_7$ | 0.71 | 0.8743 | 0.8121 | [X:[], M:[1.0587, 0.8481, 0.9413, 0.9655, 1.0345, 0.9655, 0.9413], q:[0.5172, 0.424], qb:[0.5415, 0.6105], phi:[0.4767]] | [X:[], M:[[12, 4], [-16, -16], [-12, -4], [8, -8], [-8, 8], [8, -8], [-12, -4]], q:[[-4, 4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-1, -3]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_7$, $ \phi_1^2$, $ M_4$, $ M_6$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_2M_7$, $ M_2\phi_1^2$, $ M_2M_4$, $ M_2M_6$, $ M_3^2$, $ M_3M_7$, $ M_7^2$, $ M_3\phi_1^2$, $ M_7\phi_1^2$, $ M_3M_4$, $ M_3M_6$, $ M_4M_7$, $ M_6M_7$, $ \phi_1^4$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$ | . | -4 | t^2.54 + 2*t^2.82 + t^2.86 + 2*t^2.9 + t^3.38 + t^3.97 + t^4.25 + t^4.33 + 2*t^4.53 + t^4.61 + t^4.68 + t^4.81 + t^4.89 + 2*t^5.09 + 2*t^5.37 + t^5.4 + t^5.44 + 2*t^5.65 + 2*t^5.68 + 3*t^5.72 + 2*t^5.76 + 2*t^5.79 - 4*t^6. - t^6.07 + t^6.21 + t^6.24 - t^6.28 - t^6.35 + t^6.52 - t^6.56 + t^6.77 + 3*t^6.8 + t^6.83 + 2*t^6.87 + 3*t^7.08 + 2*t^7.15 + t^7.19 + 2*t^7.22 + 4*t^7.36 + t^7.39 + 2*t^7.43 + 2*t^7.5 + t^7.54 + 2*t^7.58 + t^7.63 + 2*t^7.64 - t^7.67 - t^7.82 + 2*t^7.91 + 3*t^7.92 + 2*t^7.95 + t^7.99 - t^8.03 + 2*t^8.19 + t^8.2 + 2*t^8.23 + t^8.26 + 2*t^8.3 + t^8.34 + 2*t^8.47 + t^8.48 + 4*t^8.51 - t^8.54 + 4*t^8.58 + 3*t^8.62 + 3*t^8.65 + 2*t^8.69 + 2*t^8.79 - 10*t^8.82 - 2*t^8.86 - 8*t^8.9 - 2*t^8.97 - t^4.43/y - t^6.97/y - t^7.25/y - t^7.29/y - t^7.33/y + t^7.53/y + t^7.57/y + t^7.61/y + t^7.89/y + (2*t^8.37)/y + t^8.4/y + (2*t^8.44)/y + t^8.65/y + (2*t^8.68)/y + (4*t^8.72)/y + (2*t^8.76)/y + t^8.79/y + t^8.93/y - t^4.43*y - t^6.97*y - t^7.25*y - t^7.29*y - t^7.33*y + t^7.53*y + t^7.57*y + t^7.61*y + t^7.89*y + 2*t^8.37*y + t^8.4*y + 2*t^8.44*y + t^8.65*y + 2*t^8.68*y + 4*t^8.72*y + 2*t^8.76*y + t^8.79*y + t^8.93*y | t^2.54/(g1^16*g2^16) + (2*t^2.82)/(g1^12*g2^4) + t^2.86/(g1^2*g2^6) + (2*g1^8*t^2.9)/g2^8 + (g2^20*t^3.38)/g1^4 + t^3.97/(g1^17*g2^19) + t^4.25/(g1^13*g2^7) + (g1^7*t^4.33)/g2^11 + (2*g2^5*t^4.53)/g1^9 + g1^11*g2*t^4.61 + (g1^31*t^4.68)/g2^3 + (g2^17*t^4.81)/g1^5 + g1^15*g2^13*t^4.89 + t^5.09/(g1^32*g2^32) + (g2^29*t^5.09)/g1 + (2*t^5.37)/(g1^28*g2^20) + t^5.4/(g1^18*g2^22) + t^5.44/(g1^8*g2^24) + (2*t^5.65)/(g1^24*g2^8) + (2*t^5.68)/(g1^14*g2^10) + (3*t^5.72)/(g1^4*g2^12) + (2*g1^6*t^5.76)/g2^14 + (2*g1^16*t^5.79)/g2^16 - 4*t^6. - (g1^20*t^6.07)/g2^4 + (g2^16*t^6.21)/g1^16 + (g2^14*t^6.24)/g1^6 - g1^4*g2^12*t^6.28 - g1^24*g2^8*t^6.35 + t^6.52/(g1^33*g2^35) - g1^8*g2^24*t^6.56 + (g2^40*t^6.77)/g1^8 + (3*t^6.8)/(g1^29*g2^23) + t^6.83/(g1^19*g2^25) + (2*t^6.87)/(g1^9*g2^27) + (3*t^7.08)/(g1^25*g2^11) + (2*t^7.15)/(g1^5*g2^15) + (g1^5*t^7.19)/g2^17 + (2*g1^15*t^7.22)/g2^19 + (4*g2*t^7.36)/g1^21 + t^7.39/(g1^11*g2) + (2*t^7.43)/(g1*g2^3) + (2*g1^19*t^7.5)/g2^7 + (g1^29*t^7.54)/g2^9 + (2*g1^39*t^7.58)/g2^11 + t^7.63/(g1^48*g2^48) + (2*g2^13*t^7.64)/g1^17 - (g2^11*t^7.67)/g1^7 - g1^33*g2^3*t^7.82 + (2*t^7.91)/(g1^44*g2^36) + (3*g2^25*t^7.92)/g1^13 + (2*t^7.95)/(g1^34*g2^38) + t^7.99/(g1^24*g2^40) - g1^17*g2^19*t^8.03 + (2*t^8.19)/(g1^40*g2^24) + (g2^37*t^8.2)/g1^9 + (3*t^8.23)/(g1^30*g2^26) - g1*g2^35*t^8.23 + t^8.26/(g1^20*g2^28) + (2*t^8.3)/(g1^10*g2^30) + t^8.34/g2^32 + (2*t^8.47)/(g1^36*g2^12) + (g2^49*t^8.48)/g1^5 + (4*t^8.51)/(g1^26*g2^14) - t^8.54/(g1^16*g2^16) + (4*t^8.58)/(g1^6*g2^18) + (3*g1^4*t^8.62)/g2^20 + (3*g1^14*t^8.65)/g2^22 + (2*g1^24*t^8.69)/g2^24 + (2*t^8.79)/(g1^22*g2^2) - (10*t^8.82)/(g1^12*g2^4) - (2*t^8.86)/(g1^2*g2^6) - (8*g1^8*t^8.9)/g2^8 - (2*g1^28*t^8.97)/g2^12 - t^4.43/(g1*g2^3*y) - t^6.97/(g1^17*g2^19*y) - t^7.25/(g1^13*g2^7*y) - t^7.29/(g1^3*g2^9*y) - (g1^7*t^7.33)/(g2^11*y) + (g2^5*t^7.53)/(g1^9*y) + (g1*g2^3*t^7.57)/y + (g1^11*g2*t^7.61)/y + (g1^15*g2^13*t^7.89)/y + (2*t^8.37)/(g1^28*g2^20*y) + t^8.4/(g1^18*g2^22*y) + (2*t^8.44)/(g1^8*g2^24*y) + t^8.65/(g1^24*g2^8*y) + (2*t^8.68)/(g1^14*g2^10*y) + (4*t^8.72)/(g1^4*g2^12*y) + (2*g1^6*t^8.76)/(g2^14*y) + (g1^16*t^8.79)/(g2^16*y) + (g2^4*t^8.93)/(g1^20*y) - (t^4.43*y)/(g1*g2^3) - (t^6.97*y)/(g1^17*g2^19) - (t^7.25*y)/(g1^13*g2^7) - (t^7.29*y)/(g1^3*g2^9) - (g1^7*t^7.33*y)/g2^11 + (g2^5*t^7.53*y)/g1^9 + g1*g2^3*t^7.57*y + g1^11*g2*t^7.61*y + g1^15*g2^13*t^7.89*y + (2*t^8.37*y)/(g1^28*g2^20) + (t^8.4*y)/(g1^18*g2^22) + (2*t^8.44*y)/(g1^8*g2^24) + (t^8.65*y)/(g1^24*g2^8) + (2*t^8.68*y)/(g1^14*g2^10) + (4*t^8.72*y)/(g1^4*g2^12) + (2*g1^6*t^8.76*y)/g2^14 + (g1^16*t^8.79*y)/g2^16 + (g2^4*t^8.93*y)/g1^20 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2699 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ M_1M_7$ + $ \phi_1\tilde{q}_1^2$ | 0.6597 | 0.8322 | 0.7927 | [X:[], M:[1.2002, 0.7193, 0.7998, 1.1197, 0.8803, 1.1197, 0.7998], q:[0.4401, 0.3597], qb:[0.7601, 0.5206], phi:[0.4799]] | t^2.16 + 2*t^2.4 + 2*t^2.88 + 2*t^3.36 + t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 3*t^4.56 + 3*t^4.8 + 2*t^5.04 + 4*t^5.28 + t^5.52 + 6*t^5.76 - t^4.44/y - t^4.44*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 |
|---|---|---|---|---|---|---|---|---|---|
| 993 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ | 0.7055 | 0.8657 | 0.8149 | [X:[], M:[1.0376, 0.878, 0.9624, 0.9531, 1.0469, 0.9531], q:[0.5235, 0.439], qb:[0.5141, 0.6079], phi:[0.4789]] | t^2.63 + 2*t^2.86 + t^2.87 + t^2.89 + t^3.11 + t^3.39 + t^4.07 + t^4.3 + t^4.32 + t^4.52 + t^4.55 + 2*t^4.58 + t^4.8 + t^4.83 + t^5.08 + t^5.27 + t^5.49 + t^5.51 + t^5.52 + 2*t^5.72 + 2*t^5.73 + 2*t^5.75 + t^5.76 + t^5.97 + t^5.99 - 3*t^6. - t^4.44/y - t^4.44*y | detail |