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 |
|---|---|---|---|---|---|---|---|---|---|
| 4190 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_6$ + $ M_7q_1\tilde{q}_2$ + $ M_8q_1\tilde{q}_1$ | 0.7195 | 0.9138 | 0.7873 | [X:[], M:[1.0415, 1.1094, 0.966, 0.8906, 0.7396, 0.9585, 0.7396, 0.6717], q:[0.7774, 0.4075], qb:[0.5509, 0.483], phi:[0.4453]] | [X:[], M:[[32], [-12], [22], [12], [-8], [-32], [-8], [36]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_5$, $ M_7$, $ M_4$, $ \phi_1^2$, $ M_6$, $ M_3$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ M_8^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5M_8$, $ M_7M_8$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4M_8$, $ M_8\phi_1^2$, $ M_4M_5$, $ M_4M_7$, $ M_6M_8$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_3M_8$, $ M_5M_6$, $ M_6M_7$, $ M_3M_5$, $ M_3M_7$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_4M_6$, $ M_6\phi_1^2$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_8q_1q_2$, $ M_6^2$, $ M_3M_6$, $ M_5q_1q_2$, $ M_7q_1q_2$ | . | -3 | t^2.02 + 2*t^2.22 + 2*t^2.67 + t^2.88 + t^2.9 + t^3.55 + t^4.01 + t^4.03 + t^4.21 + 3*t^4.23 + 4*t^4.44 + t^4.64 + 2*t^4.69 + 5*t^4.89 + t^4.91 + 2*t^5.09 + 2*t^5.12 + 3*t^5.34 + 2*t^5.55 + 2*t^5.57 + t^5.75 + 2*t^5.77 - 3*t^6. + t^6.02 + t^6.05 - t^6.2 + 3*t^6.23 + 3*t^6.25 + 2*t^6.43 + 6*t^6.45 + 5*t^6.66 + t^6.68 + 2*t^6.7 + 2*t^6.86 + t^6.88 + 7*t^6.91 + t^6.93 + t^7.09 + 9*t^7.11 + 2*t^7.13 + 5*t^7.31 + t^7.34 + 3*t^7.36 + t^7.52 - t^7.54 + 6*t^7.56 + 2*t^7.59 + 3*t^7.77 + 4*t^7.79 + t^7.97 + 2*t^7.99 + t^8.02 + t^8.04 + t^8.06 - 6*t^8.22 + 5*t^8.24 + 3*t^8.26 - t^8.42 + 4*t^8.45 + 6*t^8.47 + t^8.63 + 3*t^8.65 + 2*t^8.67 + 2*t^8.69 + 2*t^8.72 + t^8.85 + 2*t^8.88 + 7*t^8.92 + t^8.94 - t^4.34/y - t^6.35/y - (2*t^6.55)/y - t^7.01/y + t^7.23/y + (2*t^7.44)/y + t^7.66/y + (2*t^7.69)/y + (5*t^7.89)/y + t^7.91/y + (2*t^8.09)/y + (4*t^8.12)/y + t^8.32/y + t^8.34/y - t^8.37/y + (2*t^8.55)/y + t^8.57/y - t^4.34*y - t^6.35*y - 2*t^6.55*y - t^7.01*y + t^7.23*y + 2*t^7.44*y + t^7.66*y + 2*t^7.69*y + 5*t^7.89*y + t^7.91*y + 2*t^8.09*y + 4*t^8.12*y + t^8.32*y + t^8.34*y - t^8.37*y + 2*t^8.55*y + t^8.57*y | g1^36*t^2.02 + (2*t^2.22)/g1^8 + 2*g1^12*t^2.67 + t^2.88/g1^32 + g1^22*t^2.9 + t^3.55/g1^2 + g1^18*t^4.01 + g1^72*t^4.03 + t^4.21/g1^26 + 3*g1^28*t^4.23 + (4*t^4.44)/g1^16 + t^4.64/g1^60 + 2*g1^48*t^4.69 + 5*g1^4*t^4.89 + g1^58*t^4.91 + (2*t^5.09)/g1^40 + 2*g1^14*t^5.12 + 3*g1^24*t^5.34 + (2*t^5.55)/g1^20 + 2*g1^34*t^5.57 + t^5.75/g1^64 + (2*t^5.77)/g1^10 - 3*t^6. + g1^54*t^6.02 + g1^108*t^6.05 - t^6.2/g1^44 + 3*g1^10*t^6.23 + 3*g1^64*t^6.25 + (2*t^6.43)/g1^34 + 6*g1^20*t^6.45 + (5*t^6.66)/g1^24 + g1^30*t^6.68 + 2*g1^84*t^6.7 + (2*t^6.86)/g1^68 + t^6.88/g1^14 + 7*g1^40*t^6.91 + g1^94*t^6.93 + t^7.09/g1^58 + (9*t^7.11)/g1^4 + 2*g1^50*t^7.13 + (5*t^7.31)/g1^48 + g1^6*t^7.34 + 3*g1^60*t^7.36 + t^7.52/g1^92 - t^7.54/g1^38 + 6*g1^16*t^7.56 + 2*g1^70*t^7.59 + (3*t^7.77)/g1^28 + 4*g1^26*t^7.79 + t^7.97/g1^72 + (2*t^7.99)/g1^18 + g1^36*t^8.02 + g1^90*t^8.04 + g1^144*t^8.06 - (6*t^8.22)/g1^8 + 5*g1^46*t^8.24 + 3*g1^100*t^8.26 - t^8.42/g1^52 + 4*g1^2*t^8.45 + 6*g1^56*t^8.47 + t^8.63/g1^96 + (3*t^8.65)/g1^42 + 2*g1^12*t^8.67 + 2*g1^66*t^8.69 + 2*g1^120*t^8.72 + t^8.85/g1^86 + (2*t^8.88)/g1^32 + 7*g1^76*t^8.92 + g1^130*t^8.94 - (g1^6*t^4.34)/y - (g1^42*t^6.35)/y - (2*t^6.55)/(g1^2*y) - (g1^18*t^7.01)/y + (g1^28*t^7.23)/y + (2*t^7.44)/(g1^16*y) + t^7.66/(g1^6*y) + (2*g1^48*t^7.69)/y + (5*g1^4*t^7.89)/y + (g1^58*t^7.91)/y + (2*t^8.09)/(g1^40*y) + (4*g1^14*t^8.12)/y + t^8.32/(g1^30*y) + (g1^24*t^8.34)/y - (g1^78*t^8.37)/y + (2*t^8.55)/(g1^20*y) + (g1^34*t^8.57)/y - g1^6*t^4.34*y - g1^42*t^6.35*y - (2*t^6.55*y)/g1^2 - g1^18*t^7.01*y + g1^28*t^7.23*y + (2*t^7.44*y)/g1^16 + (t^7.66*y)/g1^6 + 2*g1^48*t^7.69*y + 5*g1^4*t^7.89*y + g1^58*t^7.91*y + (2*t^8.09*y)/g1^40 + 4*g1^14*t^8.12*y + (t^8.32*y)/g1^30 + g1^24*t^8.34*y - g1^78*t^8.37*y + (2*t^8.55*y)/g1^20 + g1^34*t^8.57*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 5693 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_6$ + $ M_7q_1\tilde{q}_2$ + $ M_8q_1\tilde{q}_1$ + $ M_9q_1q_2$ | 0.7351 | 0.941 | 0.7812 | [X:[], M:[1.04, 1.11, 0.965, 0.89, 0.74, 0.96, 0.74, 0.67, 0.815], q:[0.7775, 0.4075], qb:[0.5525, 0.4825], phi:[0.445]] | t^2.01 + 2*t^2.22 + t^2.45 + 2*t^2.67 + t^2.88 + t^2.9 + t^4.01 + t^4.02 + t^4.21 + 3*t^4.23 + 4*t^4.44 + t^4.46 + t^4.65 + 2*t^4.66 + 2*t^4.68 + 6*t^4.89 + t^4.91 + 2*t^5.1 + 4*t^5.12 + t^5.32 + 4*t^5.34 + 2*t^5.55 + t^5.57 + t^5.76 - 3*t^6. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2194 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_6$ + $ M_7q_1\tilde{q}_2$ | 0.6987 | 0.8726 | 0.8007 | [X:[], M:[1.0431, 1.1088, 0.9671, 0.8912, 0.7392, 0.9569, 0.7392], q:[0.7772, 0.4076], qb:[0.5493, 0.4836], phi:[0.4456]] | 2*t^2.22 + 2*t^2.67 + t^2.87 + t^2.9 + t^3.55 + t^3.98 + t^4.01 + t^4.21 + t^4.24 + 4*t^4.44 + t^4.63 + 4*t^4.89 + 2*t^5.09 + 2*t^5.12 + 3*t^5.35 + 2*t^5.54 + t^5.57 + t^5.74 + 2*t^5.77 - 3*t^6. - t^4.34/y - t^4.34*y | detail |