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 |
|---|---|---|---|---|---|---|---|---|---|
| 5204 | 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_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ + $ M_8\phi_1q_1^2$ | 0.6957 | 0.8912 | 0.7806 | [X:[], M:[0.8119, 1.0627, 1.1881, 0.6865, 0.8119, 1.0298, 0.9373, 0.6865], q:[0.4224, 0.7657], qb:[0.3895, 0.5478], phi:[0.4687]] | [X:[], M:[[-12], [4], [12], [-20], [-12], [-30], [-4], [-20]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_8$, $ M_1$, $ M_5$, $ M_7$, $ \phi_1^2$, $ M_6$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ M_4M_5$, $ M_1M_8$, $ M_5M_8$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4M_7$, $ M_7M_8$, $ M_4\phi_1^2$, $ M_8\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_6$, $ M_6M_8$, $ M_1M_7$, $ M_5M_7$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_1M_6$, $ M_5M_6$, $ M_4q_2\tilde{q}_1$, $ M_8q_2\tilde{q}_1$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ M_4\phi_1\tilde{q}_1^2$, $ M_8\phi_1\tilde{q}_1^2$, $ M_6M_7$, $ M_6\phi_1^2$, $ M_4\phi_1q_1\tilde{q}_1$, $ M_8\phi_1q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_1$ | . | -3 | 2*t^2.06 + 2*t^2.44 + 2*t^2.81 + t^3.09 + t^3.47 + t^3.74 + t^3.84 + 3*t^4.12 + t^4.22 + t^4.32 + 4*t^4.5 + t^4.69 + 7*t^4.87 + 2*t^5.15 + 4*t^5.25 + 3*t^5.53 + 2*t^5.62 + 2*t^5.8 + 5*t^5.9 - 3*t^6. - t^6.1 + 7*t^6.18 + 5*t^6.28 - t^6.38 - t^6.47 + 9*t^6.55 + 2*t^6.65 + 2*t^6.75 + t^6.83 + 12*t^6.93 - t^7.03 + t^7.13 + 4*t^7.21 + 12*t^7.31 - 3*t^7.41 + t^7.49 + 6*t^7.58 + 10*t^7.68 - t^7.78 + 3*t^7.86 - 3*t^7.88 + 11*t^7.96 - 2*t^8.06 - 3*t^8.16 + 11*t^8.24 - t^8.26 + 12*t^8.34 - 6*t^8.44 - 4*t^8.53 + 18*t^8.61 + 10*t^8.71 - 9*t^8.81 + 2*t^8.89 - 3*t^8.91 + 23*t^8.99 - t^4.41/y - (2*t^6.47)/y - t^6.84/y + t^7.12/y - t^7.22/y + t^7.32/y + (3*t^7.5)/y + t^7.59/y + (5*t^7.87)/y + t^7.97/y + (2*t^8.15)/y + (4*t^8.25)/y + (2*t^8.35)/y + t^8.53/y + t^8.62/y + (2*t^8.8)/y + (4*t^8.9)/y - t^4.41*y - 2*t^6.47*y - t^6.84*y + t^7.12*y - t^7.22*y + t^7.32*y + 3*t^7.5*y + t^7.59*y + 5*t^7.87*y + t^7.97*y + 2*t^8.15*y + 4*t^8.25*y + 2*t^8.35*y + t^8.53*y + t^8.62*y + 2*t^8.8*y + 4*t^8.9*y | (2*t^2.06)/g1^20 + (2*t^2.44)/g1^12 + (2*t^2.81)/g1^4 + t^3.09/g1^30 + t^3.47/g1^22 + t^3.74/g1^48 + t^3.84/g1^14 + (3*t^4.12)/g1^40 + t^4.22/g1^6 + g1^28*t^4.32 + (4*t^4.5)/g1^32 + g1^36*t^4.69 + (7*t^4.87)/g1^24 + (2*t^5.15)/g1^50 + (4*t^5.25)/g1^16 + (3*t^5.53)/g1^42 + (2*t^5.62)/g1^8 + (2*t^5.8)/g1^68 + (5*t^5.9)/g1^34 - 3*t^6. - g1^34*t^6.1 + (7*t^6.18)/g1^60 + (5*t^6.28)/g1^26 - g1^8*t^6.38 - g1^42*t^6.47 + (9*t^6.55)/g1^52 + (2*t^6.65)/g1^18 + 2*g1^16*t^6.75 + t^6.83/g1^78 + (12*t^6.93)/g1^44 - t^7.03/g1^10 + g1^24*t^7.13 + (4*t^7.21)/g1^70 + (12*t^7.31)/g1^36 - (3*t^7.41)/g1^2 + t^7.49/g1^96 + (6*t^7.58)/g1^62 + (10*t^7.68)/g1^28 - g1^6*t^7.78 + (3*t^7.86)/g1^88 - 3*g1^40*t^7.88 + (11*t^7.96)/g1^54 - (2*t^8.06)/g1^20 - 3*g1^14*t^8.16 + (11*t^8.24)/g1^80 - g1^48*t^8.26 + (12*t^8.34)/g1^46 - (6*t^8.44)/g1^12 - 4*g1^22*t^8.53 + (18*t^8.61)/g1^72 + (10*t^8.71)/g1^38 - (9*t^8.81)/g1^4 + (2*t^8.89)/g1^98 - 3*g1^30*t^8.91 + (23*t^8.99)/g1^64 - t^4.41/(g1^2*y) - (2*t^6.47)/(g1^22*y) - t^6.84/(g1^14*y) + t^7.12/(g1^40*y) - t^7.22/(g1^6*y) + (g1^28*t^7.32)/y + (3*t^7.5)/(g1^32*y) + (g1^2*t^7.59)/y + (5*t^7.87)/(g1^24*y) + (g1^10*t^7.97)/y + (2*t^8.15)/(g1^50*y) + (4*t^8.25)/(g1^16*y) + (2*g1^18*t^8.35)/y + t^8.53/(g1^42*y) + t^8.62/(g1^8*y) + (2*t^8.8)/(g1^68*y) + (4*t^8.9)/(g1^34*y) - (t^4.41*y)/g1^2 - (2*t^6.47*y)/g1^22 - (t^6.84*y)/g1^14 + (t^7.12*y)/g1^40 - (t^7.22*y)/g1^6 + g1^28*t^7.32*y + (3*t^7.5*y)/g1^32 + g1^2*t^7.59*y + (5*t^7.87*y)/g1^24 + g1^10*t^7.97*y + (2*t^8.15*y)/g1^50 + (4*t^8.25*y)/g1^16 + 2*g1^18*t^8.35*y + (t^8.53*y)/g1^42 + (t^8.62*y)/g1^8 + (2*t^8.8*y)/g1^68 + (4*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 6753 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ + $ M_8\phi_1q_1^2$ + $ M_9\phi_1q_1\tilde{q}_1$ | 0.7158 | 0.9283 | 0.7711 | [X:[], M:[0.8138, 1.0621, 1.1862, 0.6897, 0.8138, 1.0346, 0.9379, 0.6897, 0.7172], q:[0.4207, 0.7655], qb:[0.3932, 0.5448], phi:[0.469]] | 2*t^2.07 + t^2.15 + 2*t^2.44 + 2*t^2.81 + t^3.1 + t^3.48 + t^3.77 + 3*t^4.14 + 3*t^4.22 + 2*t^4.3 + 4*t^4.51 + 2*t^4.59 + t^4.68 + 7*t^4.88 + 2*t^4.97 + 2*t^5.17 + 5*t^5.26 + 3*t^5.55 + 3*t^5.63 + 2*t^5.84 + 4*t^5.92 - 3*t^6. - t^4.41/y - t^4.41*y | detail | |
| 6752 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ + $ M_8\phi_1q_1^2$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.7152 | 0.9253 | 0.7729 | [X:[], M:[0.8192, 1.0603, 1.1808, 0.6987, 0.8192, 1.0481, 0.9397, 0.6987, 0.7231], q:[0.4157, 0.7651], qb:[0.4035, 0.5362], phi:[0.4699]] | 2*t^2.1 + t^2.17 + 2*t^2.46 + 2*t^2.82 + t^3.14 + t^3.51 + t^3.87 + 3*t^4.19 + t^4.23 + 3*t^4.27 + t^4.34 + 4*t^4.55 + 3*t^4.63 + 7*t^4.92 + 2*t^4.99 + 2*t^5.24 + 4*t^5.28 + t^5.31 + 3*t^5.6 + 2*t^5.64 + t^5.67 + 5*t^5.96 - 3*t^6. - t^4.41/y - t^4.41*y | detail | {a: 4160953/5817744, c: 2691617/2908872, M1: 494/603, M2: 1918/1809, M3: 712/603, M4: 1264/1809, M5: 494/603, M6: 632/603, M7: 1700/1809, M8: 1264/1809, M9: 436/603, q1: 752/1809, q2: 1384/1809, qb1: 730/1809, qb2: 970/1809, phi1: 850/1809} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3534 | 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_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ | 0.6749 | 0.8505 | 0.7935 | [X:[], M:[0.8132, 1.0623, 1.1868, 0.6886, 0.8132, 1.0329, 0.9377], q:[0.4213, 0.7656], qb:[0.3919, 0.5458], phi:[0.4689]] | t^2.07 + 2*t^2.44 + 2*t^2.81 + t^3.1 + t^3.47 + t^3.76 + t^3.85 + t^3.93 + t^4.13 + t^4.22 + t^4.31 + 2*t^4.51 + t^4.68 + 5*t^4.88 + t^5.16 + 4*t^5.25 + 2*t^5.54 + 2*t^5.63 + t^5.82 + 4*t^5.91 - 2*t^6. - t^4.41/y - t^4.41*y | detail |