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 |
|---|---|---|---|---|---|---|---|---|---|
| 2751 | 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_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6414 | 0.7996 | 0.8022 | [X:[1.6177], M:[0.8532, 0.676, 1.1468, 0.3823, 0.7046], q:[0.3966, 0.7502], qb:[0.4565, 0.8675], phi:[0.3823]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [2, -13]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_1M_5$, $ M_1\phi_1^2$, $ X_1$, $ M_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_3M_5$, $ M_2\phi_1q_1^2$, $ M_5\phi_1q_1^2$, $ \phi_1q_2^2$, $ M_3\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1^3q_1^2$, $ M_5\phi_1q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$ | $\phi_1^3q_1\tilde{q}_1$ | -1 | t^2.03 + t^2.11 + t^2.29 + t^2.56 + t^3.44 + t^3.53 + t^3.62 + t^3.71 + t^3.79 + t^4.06 + t^4.14 + t^4.23 + t^4.32 + t^4.41 + 2*t^4.59 + t^4.67 + 2*t^4.85 + t^5.12 + t^5.47 + 2*t^5.55 + t^5.64 + t^5.65 + 2*t^5.73 + 2*t^5.82 + t^5.91 - t^6. + t^6.08 + t^6.09 + t^6.17 + t^6.26 + t^6.34 + 2*t^6.35 + t^6.44 + t^6.52 + 2*t^6.62 + 2*t^6.7 + t^6.79 + 3*t^6.88 + 2*t^6.97 + t^7.05 + 2*t^7.15 + t^7.23 + t^7.24 + t^7.32 - t^7.33 + t^7.5 + 3*t^7.58 - t^7.59 + 2*t^7.67 + t^7.68 + t^7.75 + 2*t^7.76 + 3*t^7.85 + 2*t^7.93 + t^8.02 - t^8.03 + t^8.11 + 2*t^8.2 + t^8.28 - t^8.29 + t^8.37 + 2*t^8.38 + 2*t^8.46 + t^8.55 - 3*t^8.56 + 3*t^8.64 + t^8.65 + 2*t^8.73 - t^8.74 + 2*t^8.82 - t^8.83 + t^8.9 + 4*t^8.91 + 3*t^8.99 - t^4.15/y - t^6.17/y - t^6.26/y - t^6.44/y + t^7.14/y + t^7.32/y + t^7.41/y + t^7.59/y + t^7.67/y + (2*t^7.85)/y + t^8.03/y + t^8.12/y - t^8.2/y - t^8.29/y - t^8.37/y + t^8.55/y + t^8.64/y + t^8.65/y + (2*t^8.73)/y + (3*t^8.82)/y + (2*t^8.91)/y - t^4.15*y - t^6.17*y - t^6.26*y - t^6.44*y + t^7.14*y + t^7.32*y + t^7.41*y + t^7.59*y + t^7.67*y + 2*t^7.85*y + t^8.03*y + t^8.12*y - t^8.2*y - t^8.29*y - t^8.37*y + t^8.55*y + t^8.64*y + t^8.65*y + 2*t^8.73*y + 3*t^8.82*y + 2*t^8.91*y | t^2.03/g2^7 + (g1^2*t^2.11)/g2^13 + t^2.29/g2^2 + g2^3*t^2.56 + t^3.44/g2^3 + (g1^2*t^3.53)/g2^9 + (g2^8*t^3.62)/g1^2 + g2^2*t^3.71 + (g1^2*t^3.79)/g2^4 + t^4.06/g2^14 + (g1^2*t^4.14)/g2^20 + (g1^4*t^4.23)/g2^26 + t^4.32/g2^9 + (g1^2*t^4.41)/g2^15 + (2*t^4.59)/g2^4 + (g1^2*t^4.67)/g2^10 + 2*g2*t^4.85 + g2^6*t^5.12 + t^5.47/g2^10 + (2*g1^2*t^5.55)/g2^16 + (g1^4*t^5.64)/g2^22 + (g2*t^5.65)/g1^2 + (2*t^5.73)/g2^5 + (2*g1^2*t^5.82)/g2^11 + (g1^4*t^5.91)/g2^17 - t^6. + t^6.08/g2^21 + (g1^2*t^6.09)/g2^6 + (g1^2*t^6.17)/g2^27 + (g1^4*t^6.26)/g2^33 + (g1^6*t^6.34)/g2^39 + t^6.35/g2^16 + (g1^2*t^6.35)/g2 + (g1^2*t^6.44)/g2^22 + (g1^4*t^6.52)/g2^28 + (2*t^6.62)/g2^11 + (2*g1^2*t^6.7)/g2^17 + (g1^4*t^6.79)/g2^23 + (3*t^6.88)/g2^6 + (2*g1^2*t^6.97)/g2^12 + (g1^4*t^7.05)/g2^18 + (2*t^7.15)/g2 + (g1^2*t^7.23)/g2^7 + (g2^16*t^7.24)/g1^4 + (g1^4*t^7.32)/g2^13 - (g2^10*t^7.33)/g1^2 + t^7.5/g2^17 + (2*g1^2*t^7.58)/g2^23 + (g1^4*t^7.58)/g2^8 - (g2^15*t^7.59)/g1^2 + (2*g1^4*t^7.67)/g2^29 + t^7.68/(g1^2*g2^6) + (g1^6*t^7.75)/g2^35 + (2*t^7.76)/g2^12 + (3*g1^2*t^7.85)/g2^18 + (2*g1^4*t^7.93)/g2^24 + (g1^6*t^8.02)/g2^30 - t^8.03/g2^7 + t^8.11/g2^28 + (g1^2*t^8.2)/g2^34 + (g1^4*t^8.2)/g2^19 + (g1^4*t^8.28)/g2^40 - t^8.29/g2^2 + (g1^6*t^8.37)/g2^46 + t^8.38/g2^23 + (g1^2*t^8.38)/g2^8 + (g1^8*t^8.46)/g2^52 + (g1^2*t^8.46)/g2^29 + (g1^4*t^8.47)/g2^14 - (g2^9*t^8.47)/g1^2 + (g1^4*t^8.55)/g2^35 - 3*g2^3*t^8.56 + (g1^6*t^8.64)/g2^41 + (2*t^8.64)/g2^18 + (g1^2*t^8.65)/g2^3 + (2*g1^2*t^8.73)/g2^24 - (g2^14*t^8.74)/g1^2 + (2*g1^4*t^8.82)/g2^30 - g2^8*t^8.83 + (g1^6*t^8.9)/g2^36 + (3*t^8.91)/g2^13 + g1^2*g2^2*t^8.91 + (3*g1^2*t^8.99)/g2^19 - t^4.15/(g2*y) - t^6.17/(g2^8*y) - (g1^2*t^6.26)/(g2^14*y) - t^6.44/(g2^3*y) + (g1^2*t^7.14)/(g2^20*y) + t^7.32/(g2^9*y) + (g1^2*t^7.41)/(g2^15*y) + t^7.59/(g2^4*y) + (g1^2*t^7.67)/(g2^10*y) + (2*g2*t^7.85)/y + (g2^12*t^8.03)/(g1^2*y) + (g2^6*t^8.12)/y - t^8.2/(g2^15*y) - (g1^2*t^8.29)/(g2^21*y) - (g1^4*t^8.37)/(g2^27*y) + (g1^2*t^8.55)/(g2^16*y) + (g1^4*t^8.64)/(g2^22*y) + (g2*t^8.65)/(g1^2*y) + (2*t^8.73)/(g2^5*y) + (3*g1^2*t^8.82)/(g2^11*y) + (g1^4*t^8.91)/(g2^17*y) + (g2^6*t^8.91)/(g1^2*y) - (t^4.15*y)/g2 - (t^6.17*y)/g2^8 - (g1^2*t^6.26*y)/g2^14 - (t^6.44*y)/g2^3 + (g1^2*t^7.14*y)/g2^20 + (t^7.32*y)/g2^9 + (g1^2*t^7.41*y)/g2^15 + (t^7.59*y)/g2^4 + (g1^2*t^7.67*y)/g2^10 + 2*g2*t^7.85*y + (g2^12*t^8.03*y)/g1^2 + g2^6*t^8.12*y - (t^8.2*y)/g2^15 - (g1^2*t^8.29*y)/g2^21 - (g1^4*t^8.37*y)/g2^27 + (g1^2*t^8.55*y)/g2^16 + (g1^4*t^8.64*y)/g2^22 + (g2*t^8.65*y)/g1^2 + (2*t^8.73*y)/g2^5 + (3*g1^2*t^8.82*y)/g2^11 + (g1^4*t^8.91*y)/g2^17 + (g2^6*t^8.91*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3264 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_5q_1\tilde{q}_2$ | 0.6412 | 0.7986 | 0.8029 | [X:[1.6182], M:[0.8546, 0.6726, 1.1454, 0.3818, 0.7181], q:[0.4045, 0.7409], qb:[0.45, 0.8773], phi:[0.3818]] | t^2.02 + t^2.15 + t^2.29 + t^2.56 + t^3.44 + 2*t^3.57 + t^3.71 + t^3.85 + t^4.04 + t^4.17 + 2*t^4.31 + t^4.45 + 2*t^4.58 + t^4.72 + 2*t^4.85 + t^5.13 + t^5.45 + 3*t^5.59 + 3*t^5.73 + 2*t^5.86 - t^4.15/y - t^4.15*y | detail | |
| 3265 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2X_2$ | 0.6406 | 0.7956 | 0.8052 | [X:[1.62, 1.3401], M:[0.86, 0.6599, 1.14, 0.38, 0.7099, 0.7099], q:[0.405, 0.735], qb:[0.455, 0.8851], phi:[0.38]] | 2*t^2.13 + t^2.28 + t^2.58 + t^3.42 + 2*t^3.57 + t^3.72 + t^4.02 + 3*t^4.26 + 2*t^4.41 + t^4.56 + 2*t^4.71 + 2*t^4.86 + t^5.16 + 2*t^5.55 + 4*t^5.7 + 2*t^5.85 - t^6. - t^4.14/y - t^4.14*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1746 | 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_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.6212 | 0.7607 | 0.8166 | [X:[1.6162], M:[0.8487, 0.6865, 1.1513, 0.3838], q:[0.4041, 0.7473], qb:[0.4446, 0.8689], phi:[0.3838]] | t^2.06 + t^2.3 + t^2.55 + t^3.45 + 2*t^3.58 + t^3.7 + 2*t^3.82 + t^4.12 + t^4.36 + 2*t^4.61 + 2*t^4.85 + t^5.09 + t^5.51 + 2*t^5.64 + t^5.76 + 2*t^5.88 - t^6. - t^4.15/y - t^4.15*y | detail |