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 |
|---|---|---|---|---|---|---|---|---|---|
| 560 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_2M_3$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.7011 | 0.8806 | 0.7962 | [X:[], M:[0.6816, 1.1061, 0.8939, 0.6816], q:[0.7765, 0.5419], qb:[0.4581, 0.4358], phi:[0.4469]] | [X:[], M:[[-12], [4], [-4], [-12]], q:[[1], [11]], qb:[[-11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ M_3$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1M_3$, $ M_3M_4$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_3^2$, $ M_3\phi_1^2$, $ \phi_1^4$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_1$, $ q_2^2\tilde{q}_2^2$ | . | -2 | 2*t^2.04 + 2*t^2.68 + t^2.93 + t^3. + t^3.64 + t^3.7 + t^4.02 + 4*t^4.09 + t^4.27 + t^4.34 + t^4.59 + 4*t^4.73 + 2*t^4.98 + 2*t^5.04 + 3*t^5.36 + 2*t^5.61 + 3*t^5.68 + t^5.75 + t^5.87 - 2*t^6. + t^6.07 + 6*t^6.13 - t^6.25 + 2*t^6.32 + 3*t^6.39 + t^6.57 + 2*t^6.64 + 2*t^6.7 + 8*t^6.77 + t^6.96 + 4*t^7.02 + 3*t^7.09 + t^7.21 + 2*t^7.27 - t^7.34 + 5*t^7.41 + t^7.53 - t^7.59 + 2*t^7.66 + 6*t^7.73 + 2*t^7.79 + t^7.91 + 2*t^8.11 + 9*t^8.18 + 4*t^8.36 + 4*t^8.43 + 2*t^8.55 + t^8.61 - 2*t^8.68 + 2*t^8.75 + t^8.8 + 12*t^8.82 + t^8.87 - 4*t^8.93 - t^4.34/y - (2*t^6.39)/y - t^7.02/y + t^7.09/y + t^7.66/y + (4*t^7.73)/y + (2*t^7.98)/y + (2*t^8.04)/y + (2*t^8.3)/y + t^8.36/y - (3*t^8.43)/y + (2*t^8.61)/y + (4*t^8.68)/y + (2*t^8.75)/y + t^8.93/y - t^4.34*y - 2*t^6.39*y - t^7.02*y + t^7.09*y + t^7.66*y + 4*t^7.73*y + 2*t^7.98*y + 2*t^8.04*y + 2*t^8.3*y + t^8.36*y - 3*t^8.43*y + 2*t^8.61*y + 4*t^8.68*y + 2*t^8.75*y + t^8.93*y | (2*t^2.04)/g1^12 + (2*t^2.68)/g1^4 + g1^18*t^2.93 + t^3. + g1^8*t^3.64 + t^3.7/g1^10 + t^4.02/g1^6 + (4*t^4.09)/g1^24 + g1^16*t^4.27 + t^4.34/g1^2 + g1^20*t^4.59 + (4*t^4.73)/g1^16 + 2*g1^6*t^4.98 + (2*t^5.04)/g1^12 + (3*t^5.36)/g1^8 + 2*g1^14*t^5.61 + (3*t^5.68)/g1^4 + t^5.75/g1^22 + g1^36*t^5.87 - 2*t^6. + t^6.07/g1^18 + (6*t^6.13)/g1^36 - g1^22*t^6.25 + 2*g1^4*t^6.32 + (3*t^6.39)/g1^14 + g1^26*t^6.57 + 2*g1^8*t^6.64 + (2*t^6.7)/g1^10 + (8*t^6.77)/g1^28 + g1^12*t^6.96 + (4*t^7.02)/g1^6 + (3*t^7.09)/g1^24 + g1^34*t^7.21 + 2*g1^16*t^7.27 - t^7.34/g1^2 + (5*t^7.41)/g1^20 + g1^38*t^7.53 - g1^20*t^7.59 + 2*g1^2*t^7.66 + (6*t^7.73)/g1^16 + (2*t^7.79)/g1^34 + g1^24*t^7.91 + (2*t^8.11)/g1^30 + (9*t^8.18)/g1^48 + (4*t^8.36)/g1^8 + (4*t^8.43)/g1^26 + 2*g1^32*t^8.55 + g1^14*t^8.61 - (2*t^8.68)/g1^4 + (2*t^8.75)/g1^22 + g1^54*t^8.8 + (12*t^8.82)/g1^40 + g1^36*t^8.87 - 4*g1^18*t^8.93 - t^4.34/(g1^2*y) - (2*t^6.39)/(g1^14*y) - t^7.02/(g1^6*y) + t^7.09/(g1^24*y) + (g1^2*t^7.66)/y + (4*t^7.73)/(g1^16*y) + (2*g1^6*t^7.98)/y + (2*t^8.04)/(g1^12*y) + (2*g1^10*t^8.3)/y + t^8.36/(g1^8*y) - (3*t^8.43)/(g1^26*y) + (2*g1^14*t^8.61)/y + (4*t^8.68)/(g1^4*y) + (2*t^8.75)/(g1^22*y) + (g1^18*t^8.93)/y - (t^4.34*y)/g1^2 - (2*t^6.39*y)/g1^14 - (t^7.02*y)/g1^6 + (t^7.09*y)/g1^24 + g1^2*t^7.66*y + (4*t^7.73*y)/g1^16 + 2*g1^6*t^7.98*y + (2*t^8.04*y)/g1^12 + 2*g1^10*t^8.3*y + (t^8.36*y)/g1^8 - (3*t^8.43*y)/g1^26 + 2*g1^14*t^8.61*y + (4*t^8.68*y)/g1^4 + (2*t^8.75*y)/g1^22 + g1^18*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 1881 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_2M_3$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ | 0.6963 | 0.8725 | 0.7981 | [X:[], M:[0.7273, 1.0909, 0.9091, 0.7273], q:[0.7727, 0.5], qb:[0.5, 0.4091], phi:[0.4545]] | 2*t^2.18 + 3*t^2.73 + t^3. + t^3.55 + t^3.82 + 2*t^4.09 + 6*t^4.36 + 6*t^4.91 + 2*t^5.18 + 6*t^5.45 + 3*t^5.73 - 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 14829/21296, c: 4645/5324, M1: 8/11, M2: 12/11, M3: 10/11, M4: 8/11, q1: 17/22, q2: 1/2, qb1: 1/2, qb2: 9/22, phi1: 5/11} |
| 1882 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_2M_3$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ | 0.7185 | 0.9121 | 0.7877 | [X:[], M:[0.6738, 1.1087, 0.8913, 0.6738, 0.7826], q:[0.7772, 0.549], qb:[0.451, 0.4403], phi:[0.4456]] | 2*t^2.02 + t^2.35 + 2*t^2.67 + t^2.97 + t^3. + t^3.68 + t^4.01 + 4*t^4.04 + t^4.3 + t^4.34 + 2*t^4.37 + t^4.63 + 5*t^4.7 + 2*t^4.99 + 4*t^5.02 + t^5.32 + 4*t^5.35 + 2*t^5.64 + t^5.67 + t^5.71 + t^5.94 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 352 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_2M_3$ | 0.6804 | 0.8399 | 0.81 | [X:[], M:[0.6836, 1.1055, 0.8945], q:[0.7764, 0.5401], qb:[0.4599, 0.4346], phi:[0.4473]] | t^2.05 + 2*t^2.68 + t^2.92 + t^3. + t^3.63 + t^3.71 + t^3.95 + t^4.03 + 2*t^4.1 + t^4.27 + t^4.34 + t^4.58 + 2*t^4.73 + t^4.97 + t^5.05 + 3*t^5.37 + 2*t^5.61 + 2*t^5.68 + t^5.85 - t^6. - t^4.34/y - t^4.34*y | detail |