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 |
|---|---|---|---|---|---|---|---|---|---|
| 2812 | 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_1^2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ | 0.6886 | 0.8712 | 0.7904 | [X:[], M:[1.0, 0.8439, 1.1561, 0.6879, 0.6951], q:[0.4574, 0.5426], qb:[0.3866, 0.7695], phi:[0.461]] | [X:[], M:[[0], [-8], [8], [-16], [10]], q:[[-15], [15]], qb:[[7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_2$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ M_1$, $ M_3$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ \phi_1q_1^2$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_2M_4$, $ M_2M_5$, $ \phi_1q_2^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ M_2^2$, $ M_1M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_5$, $ M_2\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_3M_5$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_1\phi_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1^2$ | . | -1 | t^2.06 + t^2.09 + t^2.53 + t^2.77 + t^2.79 + t^3. + t^3.47 + t^3.68 + t^3.7 + 2*t^4.13 + t^4.15 + 2*t^4.17 + t^4.38 + t^4.6 + t^4.62 + t^4.64 + t^4.83 + 2*t^4.85 + t^4.87 + 2*t^5.06 + t^5.09 + t^5.3 + t^5.32 + 2*t^5.53 + 2*t^5.55 + t^5.58 + 3*t^5.77 + t^5.79 - t^6. + 2*t^6.19 + 2*t^6.21 + 3*t^6.23 + 2*t^6.26 + t^6.45 + 2*t^6.47 + t^6.49 + 2*t^6.66 + t^6.68 + 2*t^6.7 + t^6.72 + 2*t^6.89 + 2*t^6.91 + 2*t^6.94 + 2*t^6.96 + 2*t^7.13 + 2*t^7.15 + 3*t^7.17 + t^7.36 + t^7.38 + 2*t^7.4 + t^7.43 + 2*t^7.6 + 2*t^7.62 + 3*t^7.64 + t^7.66 + t^7.81 + 3*t^7.83 + 3*t^7.85 + t^7.87 - t^8.09 + t^8.11 + 3*t^8.25 + t^8.28 + 4*t^8.3 + 3*t^8.32 + 4*t^8.34 + t^8.36 + t^8.51 + 2*t^8.55 + t^8.58 + 2*t^8.72 + 2*t^8.74 + 2*t^8.77 - t^8.79 + 2*t^8.81 + 2*t^8.96 + 2*t^8.98 - t^4.38/y - t^6.45/y - t^6.47/y + t^7.6/y + (2*t^7.62)/y + t^7.83/y + (2*t^7.85)/y + t^7.87/y + t^8.06/y + t^8.09/y + (2*t^8.3)/y + (2*t^8.32)/y - t^8.51/y + t^8.53/y + t^8.55/y + t^8.74/y + (3*t^8.77)/y + (2*t^8.79)/y - t^4.38*y - t^6.45*y - t^6.47*y + t^7.6*y + 2*t^7.62*y + t^7.83*y + 2*t^7.85*y + t^7.87*y + t^8.06*y + t^8.09*y + 2*t^8.3*y + 2*t^8.32*y - t^8.51*y + t^8.53*y + t^8.55*y + t^8.74*y + 3*t^8.77*y + 2*t^8.79*y | t^2.06/g1^16 + g1^10*t^2.09 + t^2.53/g1^8 + t^2.77/g1^4 + g1^22*t^2.79 + t^3. + g1^8*t^3.47 + t^3.68/g1^14 + g1^12*t^3.7 + (2*t^4.13)/g1^32 + t^4.15/g1^6 + 2*g1^20*t^4.17 + t^4.38/g1^2 + t^4.6/g1^24 + g1^2*t^4.62 + g1^28*t^4.64 + t^4.83/g1^20 + 2*g1^6*t^4.85 + g1^32*t^4.87 + (2*t^5.06)/g1^16 + g1^10*t^5.09 + t^5.3/g1^12 + g1^14*t^5.32 + (2*t^5.53)/g1^8 + 2*g1^18*t^5.55 + g1^44*t^5.58 + (3*t^5.77)/g1^4 + g1^22*t^5.79 - t^6. + (2*t^6.19)/g1^48 + (2*t^6.21)/g1^22 + 3*g1^4*t^6.23 + 2*g1^30*t^6.26 + t^6.45/g1^18 + 2*g1^8*t^6.47 + g1^34*t^6.49 + (2*t^6.66)/g1^40 + t^6.68/g1^14 + 2*g1^12*t^6.7 + g1^38*t^6.72 + (2*t^6.89)/g1^36 + (2*t^6.91)/g1^10 + 2*g1^16*t^6.94 + 2*g1^42*t^6.96 + (2*t^7.13)/g1^32 + (2*t^7.15)/g1^6 + 3*g1^20*t^7.17 + t^7.36/g1^28 + t^7.38/g1^2 + 2*g1^24*t^7.4 + g1^50*t^7.43 + (2*t^7.6)/g1^24 + 2*g1^2*t^7.62 + 3*g1^28*t^7.64 + g1^54*t^7.66 + t^7.81/g1^46 + (3*t^7.83)/g1^20 + 3*g1^6*t^7.85 + g1^32*t^7.87 - g1^10*t^8.09 + g1^36*t^8.11 + (3*t^8.25)/g1^64 + t^8.28/g1^38 + (4*t^8.3)/g1^12 + 3*g1^14*t^8.32 + 4*g1^40*t^8.34 + g1^66*t^8.36 + t^8.51/g1^34 + 2*g1^18*t^8.55 + g1^44*t^8.58 + (2*t^8.72)/g1^56 + (2*t^8.74)/g1^30 + (2*t^8.77)/g1^4 - g1^22*t^8.79 + 2*g1^48*t^8.81 + (2*t^8.96)/g1^52 + (2*t^8.98)/g1^26 - t^4.38/(g1^2*y) - t^6.45/(g1^18*y) - (g1^8*t^6.47)/y + t^7.6/(g1^24*y) + (2*g1^2*t^7.62)/y + t^7.83/(g1^20*y) + (2*g1^6*t^7.85)/y + (g1^32*t^7.87)/y + t^8.06/(g1^16*y) + (g1^10*t^8.09)/y + (2*t^8.3)/(g1^12*y) + (2*g1^14*t^8.32)/y - t^8.51/(g1^34*y) + t^8.53/(g1^8*y) + (g1^18*t^8.55)/y + t^8.74/(g1^30*y) + (3*t^8.77)/(g1^4*y) + (2*g1^22*t^8.79)/y - (t^4.38*y)/g1^2 - (t^6.45*y)/g1^18 - g1^8*t^6.47*y + (t^7.6*y)/g1^24 + 2*g1^2*t^7.62*y + (t^7.83*y)/g1^20 + 2*g1^6*t^7.85*y + g1^32*t^7.87*y + (t^8.06*y)/g1^16 + g1^10*t^8.09*y + (2*t^8.3*y)/g1^12 + 2*g1^14*t^8.32*y - (t^8.51*y)/g1^34 + (t^8.53*y)/g1^8 + g1^18*t^8.55*y + (t^8.74*y)/g1^30 + (3*t^8.77*y)/g1^4 + 2*g1^22*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 3339 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_1$ + $ M_4X_1$ | 0.6028 | 0.7512 | 0.8024 | [X:[1.5], M:[1.0, 0.75, 1.25, 0.5, 0.8125], q:[0.2812, 0.7188], qb:[0.4688, 0.7812], phi:[0.4375]] | t^2.25 + t^2.44 + t^2.62 + 2*t^3. + t^3.19 + t^3.56 + t^3.75 + t^4.12 + t^4.31 + 2*t^4.5 + 3*t^4.88 + t^5.06 + 2*t^5.25 + 2*t^5.44 + 4*t^5.62 + t^5.81 + t^6. - t^4.31/y - t^4.31*y | detail | {a: 2469/4096, c: 3077/4096, X1: 3/2, M1: 1, M2: 3/4, M3: 5/4, M4: 1/2, M5: 13/16, q1: 9/32, q2: 23/32, qb1: 15/32, qb2: 25/32, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1798 | 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_1^2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ | 0.668 | 0.8316 | 0.8032 | [X:[], M:[1.0, 0.8427, 1.1573, 0.6854], q:[0.4551, 0.5449], qb:[0.3876, 0.7697], phi:[0.4607]] | t^2.06 + t^2.53 + t^2.76 + t^2.8 + t^3. + t^3.47 + t^3.67 + t^3.71 + t^3.91 + 2*t^4.11 + t^4.18 + t^4.38 + t^4.58 + t^4.65 + t^4.82 + t^4.85 + 2*t^5.06 + t^5.29 + t^5.33 + 2*t^5.53 + t^5.56 + t^5.6 + 2*t^5.76 + t^5.97 - t^6. - t^4.38/y - t^4.38*y | detail |