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 |
|---|---|---|---|---|---|---|---|---|---|
| 53870 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ | 0.7253 | 0.9243 | 0.7847 | [X:[], M:[0.6832, 1.1056, 0.973, 0.7371, 0.8157, 0.7371], q:[0.7764, 0.5404], qb:[0.4865, 0.4079], phi:[0.4472]] | [X:[], M:[[36], [-12], [22], [-8], [2], [-8]], q:[[-3], [-33]], qb:[[11], [1]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ M_6$, $ M_5$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ M_3$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_1M_6$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_5$, $ \phi_1q_2^2$, $ M_4M_5$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_5^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_3$, $ M_4q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_3M_4$, $ M_3M_6$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_1M_2$, $ M_3M_5$, $ \phi_1^4$, $ M_2M_4$, $ M_2M_6$, $ \phi_1^2q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_5$, $ M_3q_2\tilde{q}_2$ | . | -2 | t^2.05 + 2*t^2.21 + t^2.45 + t^2.68 + t^2.84 + t^2.92 + t^3.32 + t^4.02 + t^4.1 + t^4.19 + 3*t^4.26 + 4*t^4.42 + t^4.5 + t^4.58 + 2*t^4.66 + t^4.73 + 4*t^4.89 + t^4.97 + 2*t^5.06 + 3*t^5.13 + t^5.29 + 3*t^5.37 + 3*t^5.53 + t^5.69 + t^5.76 - 2*t^6. + t^6.07 + t^6.15 + 2*t^6.24 + 3*t^6.31 + t^6.4 + 6*t^6.47 + t^6.55 + 7*t^6.63 + 3*t^6.71 + t^6.78 + 2*t^6.8 + 4*t^6.87 + 5*t^6.94 + t^7.02 + 2*t^7.03 + 6*t^7.11 + 3*t^7.18 + 4*t^7.27 + 6*t^7.34 + 3*t^7.42 + t^7.43 + 2*t^7.5 + 6*t^7.58 + 5*t^7.74 + 2*t^7.81 + 2*t^7.9 + t^7.98 - t^8.05 + t^8.12 + t^8.2 - 4*t^8.21 + 3*t^8.29 + 3*t^8.36 - t^8.45 + 6*t^8.52 + t^8.53 + t^8.6 + t^8.61 + 7*t^8.68 + 4*t^8.76 + t^8.77 + t^8.83 + 7*t^8.84 + 2*t^8.92 + 5*t^8.99 - t^4.34/y - t^6.39/y - (2*t^6.55)/y - t^6.79/y + t^7.26/y + (2*t^7.42)/y + t^7.5/y + (2*t^7.66)/y + t^7.73/y + (4*t^7.89)/y + t^7.97/y + (2*t^8.06)/y + (5*t^8.13)/y + (2*t^8.29)/y + (2*t^8.37)/y - t^8.44/y + (3*t^8.53)/y - t^8.6/y - t^8.76/y - t^8.84/y - t^4.34*y - t^6.39*y - 2*t^6.55*y - t^6.79*y + t^7.26*y + 2*t^7.42*y + t^7.5*y + 2*t^7.66*y + t^7.73*y + 4*t^7.89*y + t^7.97*y + 2*t^8.06*y + 5*t^8.13*y + 2*t^8.29*y + 2*t^8.37*y - t^8.44*y + 3*t^8.53*y - t^8.6*y - t^8.76*y - t^8.84*y | g1^36*t^2.05 + (2*t^2.21)/g1^8 + g1^2*t^2.45 + g1^12*t^2.68 + t^2.84/g1^32 + g1^22*t^2.92 + t^3.32/g1^12 + g1^18*t^4.02 + g1^72*t^4.1 + t^4.19/g1^26 + 3*g1^28*t^4.26 + (4*t^4.42)/g1^16 + g1^38*t^4.5 + t^4.58/g1^60 + (2*t^4.66)/g1^6 + g1^48*t^4.73 + 4*g1^4*t^4.89 + g1^58*t^4.97 + (2*t^5.06)/g1^40 + 3*g1^14*t^5.13 + t^5.29/g1^30 + 3*g1^24*t^5.37 + (3*t^5.53)/g1^20 + t^5.69/g1^64 + t^5.76/g1^10 - 2*t^6. + g1^54*t^6.07 + g1^108*t^6.15 + 2*g1^10*t^6.24 + 3*g1^64*t^6.31 + t^6.4/g1^34 + 6*g1^20*t^6.47 + g1^74*t^6.55 + (7*t^6.63)/g1^24 + 3*g1^30*t^6.71 + g1^84*t^6.78 + (2*t^6.8)/g1^68 + (4*t^6.87)/g1^14 + 5*g1^40*t^6.94 + g1^94*t^7.02 + (2*t^7.03)/g1^58 + (6*t^7.11)/g1^4 + 3*g1^50*t^7.18 + (4*t^7.27)/g1^48 + 6*g1^6*t^7.34 + 3*g1^60*t^7.42 + t^7.43/g1^92 + (2*t^7.5)/g1^38 + 6*g1^16*t^7.58 + (5*t^7.74)/g1^28 + 2*g1^26*t^7.81 + (2*t^7.9)/g1^72 + t^7.98/g1^18 - g1^36*t^8.05 + g1^90*t^8.12 + g1^144*t^8.2 - (4*t^8.21)/g1^8 + 3*g1^46*t^8.29 + 3*g1^100*t^8.36 - g1^2*t^8.45 + 6*g1^56*t^8.52 + t^8.53/g1^96 + g1^110*t^8.6 + t^8.61/g1^42 + 7*g1^12*t^8.68 + 4*g1^66*t^8.76 + t^8.77/g1^86 + g1^120*t^8.83 + (7*t^8.84)/g1^32 + 2*g1^22*t^8.92 + 5*g1^76*t^8.99 - (g1^6*t^4.34)/y - (g1^42*t^6.39)/y - (2*t^6.55)/(g1^2*y) - (g1^8*t^6.79)/y + (g1^28*t^7.26)/y + (2*t^7.42)/(g1^16*y) + (g1^38*t^7.5)/y + (2*t^7.66)/(g1^6*y) + (g1^48*t^7.73)/y + (4*g1^4*t^7.89)/y + (g1^58*t^7.97)/y + (2*t^8.06)/(g1^40*y) + (5*g1^14*t^8.13)/y + (2*t^8.29)/(g1^30*y) + (2*g1^24*t^8.37)/y - (g1^78*t^8.44)/y + (3*t^8.53)/(g1^20*y) - (g1^34*t^8.6)/y - t^8.76/(g1^10*y) - (g1^44*t^8.84)/y - g1^6*t^4.34*y - g1^42*t^6.39*y - (2*t^6.55*y)/g1^2 - g1^8*t^6.79*y + g1^28*t^7.26*y + (2*t^7.42*y)/g1^16 + g1^38*t^7.5*y + (2*t^7.66*y)/g1^6 + g1^48*t^7.73*y + 4*g1^4*t^7.89*y + g1^58*t^7.97*y + (2*t^8.06*y)/g1^40 + 5*g1^14*t^8.13*y + (2*t^8.29*y)/g1^30 + 2*g1^24*t^8.37*y - g1^78*t^8.44*y + (3*t^8.53*y)/g1^20 - g1^34*t^8.6*y - (t^8.76*y)/g1^10 - g1^44*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 56522 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_1M_3$ | 0.6761 | 0.8743 | 0.7732 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 0.8276, 0.6897], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | 2*t^2.07 + t^2.28 + t^2.48 + t^2.69 + t^2.9 + t^3.1 + t^3.31 + t^3.52 + t^3.72 + 4*t^4.14 + 3*t^4.34 + 3*t^4.55 + 4*t^4.76 + 4*t^4.97 + 4*t^5.17 + 4*t^5.38 + 4*t^5.59 + 5*t^5.79 + t^6. - t^4.45/y - t^4.45*y | detail | {a: 65955/97556, c: 42649/48778, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 24/29, M6: 20/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
| 56542 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_2M_7$ | 0.7351 | 0.941 | 0.7812 | [X:[], M:[0.67, 1.11, 0.965, 0.74, 0.815, 0.74, 0.89], q:[0.7775, 0.5525], qb:[0.4825, 0.4075], 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 | |
| 56538 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ q_2^2\tilde{q}_2^2$ + $ M_1X_1$ | 0.7014 | 0.8772 | 0.7996 | [X:[1.375], M:[0.625, 1.125, 0.9375, 0.75, 0.8125, 0.75], q:[0.7812, 0.5938], qb:[0.4688, 0.4062], phi:[0.4375]] | 2*t^2.25 + t^2.44 + t^2.62 + t^2.81 + t^3. + t^3.38 + t^3.94 + 2*t^4.12 + t^4.31 + 4*t^4.5 + 2*t^4.69 + 4*t^4.88 + 3*t^5.06 + 4*t^5.25 + t^5.44 + 3*t^5.62 + t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 91935/131072, c: 114975/131072, X1: 11/8, M1: 5/8, M2: 9/8, M3: 15/16, M4: 3/4, M5: 13/16, M6: 3/4, q1: 25/32, q2: 19/32, qb1: 15/32, qb2: 13/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 48154 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.7058 | 0.8884 | 0.7944 | [X:[], M:[0.6794, 1.1069, 0.9707, 0.7379, 0.8155], q:[0.7767, 0.5439], qb:[0.4854, 0.4078], phi:[0.4466]] | t^2.04 + t^2.21 + t^2.45 + t^2.68 + t^2.85 + t^2.91 + t^3.32 + t^3.79 + t^4.02 + t^4.08 + t^4.19 + 2*t^4.25 + 2*t^4.43 + t^4.48 + t^4.6 + t^4.66 + t^4.72 + 3*t^4.89 + t^4.95 + t^5.07 + 2*t^5.13 + t^5.3 + 3*t^5.36 + 2*t^5.53 + t^5.71 + t^5.77 + t^5.82 - t^6. - t^4.34/y - t^4.34*y | detail |