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 |
|---|---|---|---|---|---|---|---|---|---|
| 5481 | 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$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.7003 | 0.9002 | 0.7779 | [X:[], M:[0.8178, 1.0607, 1.1822, 0.6964, 0.6964, 1.0445, 0.9393, 0.7125], q:[0.417, 0.7652], qb:[0.4008, 0.5385], phi:[0.4696]] | [X:[], M:[[-12], [4], [12], [-20], [-20], [-30], [-4], [14]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_8$, $ M_1$, $ M_7$, $ \phi_1^2$, $ M_6$, $ q_2\tilde{q}_1$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4M_8$, $ M_5M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_8^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ M_1M_5$, $ M_1M_8$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_4M_7$, $ M_5M_7$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_7M_8$, $ M_8\phi_1^2$, $ \phi_1q_1q_2$, $ M_4M_6$, $ M_5M_6$, $ M_1M_7$, $ M_6M_8$, $ M_1\phi_1^2$, $ M_1M_6$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_3M_4$, $ M_3M_5$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ M_8q_2\tilde{q}_1$, $ M_3M_8$, $ M_4\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_6M_7$, $ M_6\phi_1^2$, $ M_8\phi_1\tilde{q}_1^2$ | . | -2 | 2*t^2.09 + t^2.14 + t^2.45 + 2*t^2.82 + t^3.13 + t^3.5 + t^3.55 + t^3.81 + 3*t^4.18 + 3*t^4.23 + 2*t^4.28 + 2*t^4.54 + t^4.59 + t^4.64 + 5*t^4.91 + 2*t^4.96 + 2*t^5.22 + 3*t^5.27 + 2*t^5.59 + 5*t^5.64 + t^5.68 + 2*t^5.9 + 3*t^5.95 - 2*t^6. - t^6.05 + 6*t^6.27 + 6*t^6.32 + 4*t^6.36 + t^6.41 + 6*t^6.63 + 2*t^6.68 + 2*t^6.73 + t^6.78 + t^6.95 + 7*t^7. + 5*t^7.04 + 3*t^7.09 + 4*t^7.31 + 7*t^7.36 + t^7.63 + 3*t^7.68 + 10*t^7.72 + 5*t^7.77 - t^7.82 + 3*t^7.99 + 7*t^8.04 - 6*t^8.14 - t^8.19 + 9*t^8.36 + 11*t^8.4 + 8*t^8.45 + t^8.55 + 11*t^8.72 + 8*t^8.77 - 4*t^8.82 + 2*t^8.91 - t^4.41/y - (2*t^6.5)/y - t^6.55/y + t^7.18/y + t^7.23/y + t^7.28/y + t^7.54/y + (2*t^7.59)/y + (4*t^7.91)/y + (2*t^7.96)/y + (2*t^8.22)/y + (4*t^8.27)/y + (2*t^8.32)/y + (2*t^8.64)/y + (2*t^8.9)/y + (4*t^8.95)/y - t^4.41*y - 2*t^6.5*y - t^6.55*y + t^7.18*y + t^7.23*y + t^7.28*y + t^7.54*y + 2*t^7.59*y + 4*t^7.91*y + 2*t^7.96*y + 2*t^8.22*y + 4*t^8.27*y + 2*t^8.32*y + 2*t^8.64*y + 2*t^8.9*y + 4*t^8.95*y | (2*t^2.09)/g1^20 + g1^14*t^2.14 + t^2.45/g1^12 + (2*t^2.82)/g1^4 + t^3.13/g1^30 + t^3.5/g1^22 + g1^12*t^3.55 + t^3.81/g1^48 + (3*t^4.18)/g1^40 + (3*t^4.23)/g1^6 + 2*g1^28*t^4.28 + (2*t^4.54)/g1^32 + g1^2*t^4.59 + g1^36*t^4.64 + (5*t^4.91)/g1^24 + 2*g1^10*t^4.96 + (2*t^5.22)/g1^50 + (3*t^5.27)/g1^16 + (2*t^5.59)/g1^42 + (5*t^5.64)/g1^8 + g1^26*t^5.68 + (2*t^5.9)/g1^68 + (3*t^5.95)/g1^34 - 2*t^6. - g1^34*t^6.05 + (6*t^6.27)/g1^60 + (6*t^6.32)/g1^26 + 4*g1^8*t^6.36 + g1^42*t^6.41 + (6*t^6.63)/g1^52 + (2*t^6.68)/g1^18 + 2*g1^16*t^6.73 + g1^50*t^6.78 + t^6.95/g1^78 + (7*t^7.)/g1^44 + (5*t^7.04)/g1^10 + 3*g1^24*t^7.09 + (4*t^7.31)/g1^70 + (7*t^7.36)/g1^36 + t^7.63/g1^96 + (3*t^7.68)/g1^62 + (10*t^7.72)/g1^28 + 5*g1^6*t^7.77 - g1^40*t^7.82 + (3*t^7.99)/g1^88 + (7*t^8.04)/g1^54 - 6*g1^14*t^8.14 - g1^48*t^8.19 + (9*t^8.36)/g1^80 + (11*t^8.4)/g1^46 + (8*t^8.45)/g1^12 + g1^56*t^8.55 + (11*t^8.72)/g1^72 + (8*t^8.77)/g1^38 - (4*t^8.82)/g1^4 + 2*g1^64*t^8.91 - t^4.41/(g1^2*y) - (2*t^6.5)/(g1^22*y) - (g1^12*t^6.55)/y + t^7.18/(g1^40*y) + t^7.23/(g1^6*y) + (g1^28*t^7.28)/y + t^7.54/(g1^32*y) + (2*g1^2*t^7.59)/y + (4*t^7.91)/(g1^24*y) + (2*g1^10*t^7.96)/y + (2*t^8.22)/(g1^50*y) + (4*t^8.27)/(g1^16*y) + (2*g1^18*t^8.32)/y + (2*t^8.64)/(g1^8*y) + (2*t^8.9)/(g1^68*y) + (4*t^8.95)/(g1^34*y) - (t^4.41*y)/g1^2 - (2*t^6.5*y)/g1^22 - g1^12*t^6.55*y + (t^7.18*y)/g1^40 + (t^7.23*y)/g1^6 + g1^28*t^7.28*y + (t^7.54*y)/g1^32 + 2*g1^2*t^7.59*y + (4*t^7.91*y)/g1^24 + 2*g1^10*t^7.96*y + (2*t^8.22*y)/g1^50 + (4*t^8.27*y)/g1^16 + 2*g1^18*t^8.32*y + (2*t^8.64*y)/g1^8 + (2*t^8.9*y)/g1^68 + (4*t^8.95*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6928 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ + $ M_8\phi_1q_1\tilde{q}_1$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.7204 | 0.9373 | 0.7686 | [X:[], M:[0.8232, 1.0589, 1.1768, 0.7053, 0.7053, 1.058, 0.9411, 0.7063, 0.7073], q:[0.4121, 0.7647], qb:[0.4111, 0.53], phi:[0.4705]] | 4*t^2.12 + t^2.47 + 2*t^2.82 + t^3.17 + 2*t^3.53 + 6*t^4.23 + 6*t^4.24 + 5*t^4.59 + 9*t^4.94 + 5*t^5.29 + t^5.3 + 2*t^5.64 + 8*t^5.65 - t^6. - t^4.41/y - t^4.41*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3897 | 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$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ | 0.68 | 0.8625 | 0.7884 | [X:[], M:[0.816, 1.0613, 1.184, 0.6933, 0.6933, 1.04, 0.9387], q:[0.4187, 0.7653], qb:[0.3973, 0.5413], phi:[0.4693]] | 2*t^2.08 + t^2.45 + 2*t^2.82 + t^3.12 + t^3.49 + t^3.55 + t^3.79 + t^3.86 + 3*t^4.16 + t^4.22 + t^4.29 + 2*t^4.53 + t^4.66 + 5*t^4.9 + 2*t^5.2 + 2*t^5.26 + 2*t^5.57 + 4*t^5.63 + 2*t^5.87 + 4*t^5.94 - 2*t^6. - t^4.41/y - t^4.41*y | detail |