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 |
|---|---|---|---|---|---|---|---|---|---|
| 5065 | 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_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.611 | 0.7849 | 0.7783 | [X:[], M:[1.0286, 0.6694, 0.9714, 0.7265, 1.2735, 1.0286, 0.7918, 0.849], q:[0.6367, 0.3347], qb:[0.3919, 0.9388], phi:[0.4245]] | [X:[], M:[[14], [-22], [-14], [6], [-6], [14], [-32], [-4]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ M_7$, $ M_8$, $ \phi_1^2$, $ M_1$, $ M_6$, $ \phi_1q_2^2$, $ M_5$, $ M_2^2$, $ M_2M_4$, $ \phi_1q_1q_2$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_7$, $ M_4M_7$, $ M_2M_8$, $ M_2\phi_1^2$, $ M_4M_8$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_7^2$, $ M_7M_8$, $ M_7\phi_1^2$, $ M_1M_2$, $ M_2M_6$, $ M_8^2$, $ M_8\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_4M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1q_2^2$, $ M_1M_7$, $ M_6M_7$, $ M_4\phi_1q_2^2$, $ M_1M_8$, $ M_6M_8$, $ M_1\phi_1^2$, $ M_6\phi_1^2$, $ M_7\phi_1q_2^2$, $ M_2M_5$, $ M_8\phi_1q_2^2$, $ \phi_1^3q_2^2$ | . | -2 | t^2.01 + t^2.18 + t^2.38 + 2*t^2.55 + 2*t^3.09 + t^3.28 + t^3.82 + t^4.02 + t^4.19 + t^4.36 + t^4.38 + 3*t^4.55 + 3*t^4.73 + t^4.75 + 2*t^4.92 + 5*t^5.09 + 2*t^5.27 + t^5.29 + 2*t^5.46 + 3*t^5.63 + t^5.66 + 2*t^5.83 - 2*t^6. + t^6.02 + 2*t^6.17 + 2*t^6.2 + 3*t^6.37 + t^6.39 - t^6.54 + 4*t^6.56 + 2*t^6.73 + t^6.76 + t^6.91 + 3*t^6.93 - t^7.08 + 8*t^7.1 + t^7.13 + 4*t^7.27 + 3*t^7.3 + 5*t^7.47 + 8*t^7.64 + t^7.66 + 3*t^7.81 + 4*t^7.84 + 2*t^8.03 + 2*t^8.18 + 3*t^8.2 + t^8.35 + 2*t^8.38 + t^8.4 - 4*t^8.55 + 5*t^8.57 + 4*t^8.74 + t^8.77 + 4*t^8.94 - t^4.27/y - t^6.28/y - t^6.65/y - (2*t^6.82)/y + (2*t^7.19)/y - t^7.36/y + t^7.38/y + (3*t^7.55)/y + (4*t^7.73)/y + t^7.9/y + (2*t^7.92)/y + (3*t^8.09)/y + (3*t^8.27)/y + (3*t^8.46)/y + (4*t^8.63)/y + t^8.83/y - t^4.27*y - t^6.28*y - t^6.65*y - 2*t^6.82*y + 2*t^7.19*y - t^7.36*y + t^7.38*y + 3*t^7.55*y + 4*t^7.73*y + t^7.9*y + 2*t^7.92*y + 3*t^8.09*y + 3*t^8.27*y + 3*t^8.46*y + 4*t^8.63*y + t^8.83*y | t^2.01/g1^22 + g1^6*t^2.18 + t^2.38/g1^32 + (2*t^2.55)/g1^4 + 2*g1^14*t^3.09 + t^3.28/g1^24 + t^3.82/g1^6 + t^4.02/g1^44 + t^4.19/g1^16 + g1^12*t^4.36 + t^4.38/g1^54 + (3*t^4.55)/g1^26 + 3*g1^2*t^4.73 + t^4.75/g1^64 + (2*t^4.92)/g1^36 + (5*t^5.09)/g1^8 + 2*g1^20*t^5.27 + t^5.29/g1^46 + (2*t^5.46)/g1^18 + 3*g1^10*t^5.63 + t^5.66/g1^56 + (2*t^5.83)/g1^28 - 2*t^6. + t^6.02/g1^66 + 2*g1^28*t^6.17 + (2*t^6.2)/g1^38 + (3*t^6.37)/g1^10 + t^6.39/g1^76 - g1^18*t^6.54 + (4*t^6.56)/g1^48 + (2*t^6.73)/g1^20 + t^6.76/g1^86 + g1^8*t^6.91 + (3*t^6.93)/g1^58 - g1^36*t^7.08 + (8*t^7.1)/g1^30 + t^7.13/g1^96 + (4*t^7.27)/g1^2 + (3*t^7.3)/g1^68 + (5*t^7.47)/g1^40 + (8*t^7.64)/g1^12 + t^7.66/g1^78 + 3*g1^16*t^7.81 + (4*t^7.84)/g1^50 + (2*t^8.03)/g1^88 + 2*g1^6*t^8.18 + (3*t^8.2)/g1^60 + g1^34*t^8.35 + (2*t^8.38)/g1^32 + t^8.4/g1^98 - (4*t^8.55)/g1^4 + (5*t^8.57)/g1^70 + (4*t^8.74)/g1^42 + t^8.77/g1^108 + (4*t^8.94)/g1^80 - t^4.27/(g1^2*y) - t^6.28/(g1^24*y) - t^6.65/(g1^34*y) - (2*t^6.82)/(g1^6*y) + (2*t^7.19)/(g1^16*y) - (g1^12*t^7.36)/y + t^7.38/(g1^54*y) + (3*t^7.55)/(g1^26*y) + (4*g1^2*t^7.73)/y + (g1^30*t^7.9)/y + (2*t^7.92)/(g1^36*y) + (3*t^8.09)/(g1^8*y) + (3*g1^20*t^8.27)/y + (3*t^8.46)/(g1^18*y) + (4*g1^10*t^8.63)/y + t^8.83/(g1^28*y) - (t^4.27*y)/g1^2 - (t^6.28*y)/g1^24 - (t^6.65*y)/g1^34 - (2*t^6.82*y)/g1^6 + (2*t^7.19*y)/g1^16 - g1^12*t^7.36*y + (t^7.38*y)/g1^54 + (3*t^7.55*y)/g1^26 + 4*g1^2*t^7.73*y + g1^30*t^7.9*y + (2*t^7.92*y)/g1^36 + (3*t^8.09*y)/g1^8 + 3*g1^20*t^8.27*y + (3*t^8.46*y)/g1^18 + 4*g1^10*t^8.63*y + (t^8.83*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6664 | $M_1q_1q_2$ + $ 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_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2\tilde{q}_1$ + $ M_5M_9$ | 0.6309 | 0.8217 | 0.7677 | [X:[], M:[1.0269, 0.672, 0.9731, 0.7258, 1.2742, 1.0269, 0.7956, 0.8495, 0.7258], q:[0.6371, 0.336], qb:[0.3898, 0.9382], phi:[0.4247]] | t^2.02 + 2*t^2.18 + t^2.39 + 2*t^2.55 + 2*t^3.08 + t^3.29 + t^4.03 + 2*t^4.19 + 3*t^4.35 + t^4.4 + 4*t^4.56 + 5*t^4.73 + t^4.77 + 2*t^4.94 + 5*t^5.1 + 4*t^5.26 + t^5.31 + 3*t^5.47 + 3*t^5.63 + t^5.68 + t^5.84 - 3*t^6. - t^4.27/y - t^4.27*y | detail | |
| 6663 | $M_1q_1q_2$ + $ 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_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2\tilde{q}_1$ + $ M_9\phi_1q_2^2$ | 0.6209 | 0.7999 | 0.7762 | [X:[], M:[1.0103, 0.6981, 0.9897, 0.7187, 1.2813, 1.0103, 0.8336, 0.8542, 0.8748], q:[0.6406, 0.349], qb:[0.3697, 0.9323], phi:[0.4271]] | t^2.09 + t^2.16 + t^2.5 + 2*t^2.56 + t^2.62 + 2*t^3.03 + t^3.84 + t^4.19 + t^4.25 + t^4.31 + t^4.59 + 3*t^4.66 + 4*t^4.72 + t^4.78 + t^5. + 2*t^5.06 + 6*t^5.13 + 4*t^5.19 + t^5.25 + t^5.53 + 3*t^5.59 + 2*t^5.66 - 2*t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3189 | 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_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.5978 | 0.762 | 0.7845 | [X:[], M:[1.0258, 0.6737, 0.9742, 0.7254, 1.2746, 1.0258, 0.7981], q:[0.6373, 0.3369], qb:[0.3885, 0.9378], phi:[0.4249]] | t^2.02 + t^2.18 + t^2.39 + t^2.55 + 2*t^3.08 + t^3.3 + t^3.45 + t^3.82 + t^4.04 + t^4.2 + t^4.35 + t^4.42 + 2*t^4.57 + 2*t^4.73 + t^4.79 + t^4.94 + 3*t^5.1 + 2*t^5.25 + t^5.32 + 3*t^5.47 + 2*t^5.63 + t^5.69 + 2*t^5.85 - t^6. - t^4.27/y - t^4.27*y | detail |