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 |
|---|---|---|---|---|---|---|---|---|---|
| 1991 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_2$ | 0.6687 | 0.8494 | 0.7872 | [X:[], M:[0.8211, 0.7507, 1.1789, 0.8564, 0.7154, 0.7507], q:[0.8035, 0.8035], qb:[0.3753, 0.4458], phi:[0.393]] | [X:[], M:[[6], [-14], [-6], [16], [-24], [-14]], q:[[1], [1]], qb:[[-7], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_2$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_4$, $ M_3$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_2M_5$, $ M_5M_6$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ M_5\phi_1^2$, $ M_1M_5$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_2$, $ M_4M_5$, $ M_1M_6$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_4$, $ M_4M_6$, $ M_1\phi_1^2$, $ q_1q_2$, $ M_1^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_4^2$, $ M_3M_5$, $ M_5q_1\tilde{q}_1$, $ M_2M_3$, $ M_3M_6$, $ M_2q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | 0 | t^2.15 + 2*t^2.25 + t^2.36 + t^2.46 + t^2.57 + 2*t^3.54 + t^3.64 + t^4.29 + 2*t^4.4 + 4*t^4.5 + 3*t^4.61 + 4*t^4.72 + 4*t^4.82 + 2*t^4.93 + t^5.03 + t^5.14 + 2*t^5.68 + 4*t^5.79 + 2*t^5.89 + t^6.11 + t^6.44 + 2*t^6.54 + 4*t^6.65 + 7*t^6.76 + 7*t^6.86 + 8*t^6.97 + 10*t^7.07 + 5*t^7.18 + 2*t^7.28 + 2*t^7.39 + t^7.5 + t^7.6 + t^7.71 + 2*t^7.83 + 4*t^7.93 + 6*t^8.04 + 2*t^8.15 - t^8.25 - 3*t^8.46 - 4*t^8.57 + t^8.59 - t^8.67 + 2*t^8.69 + 4*t^8.8 + 7*t^8.9 - t^4.18/y - t^6.33/y - (2*t^6.43)/y - t^6.54/y - t^6.75/y + (2*t^7.4)/y + (2*t^7.5)/y + (4*t^7.61)/y + (3*t^7.72)/y + (4*t^7.82)/y + (3*t^7.93)/y + (2*t^8.03)/y - t^8.47/y - (2*t^8.58)/y - (2*t^8.68)/y + (3*t^8.79)/y + (2*t^8.89)/y - t^4.18*y - t^6.33*y - 2*t^6.43*y - t^6.54*y - t^6.75*y + 2*t^7.4*y + 2*t^7.5*y + 4*t^7.61*y + 3*t^7.72*y + 4*t^7.82*y + 3*t^7.93*y + 2*t^8.03*y - t^8.47*y - 2*t^8.58*y - 2*t^8.68*y + 3*t^8.79*y + 2*t^8.89*y | t^2.15/g1^24 + (2*t^2.25)/g1^14 + t^2.36/g1^4 + g1^6*t^2.46 + g1^16*t^2.57 + (2*t^3.54)/g1^6 + g1^4*t^3.64 + t^4.29/g1^48 + (2*t^4.4)/g1^38 + (4*t^4.5)/g1^28 + (3*t^4.61)/g1^18 + (4*t^4.72)/g1^8 + 4*g1^2*t^4.82 + 2*g1^12*t^4.93 + g1^22*t^5.03 + g1^32*t^5.14 + (2*t^5.68)/g1^30 + (4*t^5.79)/g1^20 + (2*t^5.89)/g1^10 + g1^10*t^6.11 + t^6.44/g1^72 + (2*t^6.54)/g1^62 + (4*t^6.65)/g1^52 + (7*t^6.76)/g1^42 + (7*t^6.86)/g1^32 + (8*t^6.97)/g1^22 + (10*t^7.07)/g1^12 + (5*t^7.18)/g1^2 + 2*g1^8*t^7.28 + 2*g1^18*t^7.39 + g1^28*t^7.5 + g1^38*t^7.6 + g1^48*t^7.71 + (2*t^7.83)/g1^54 + (4*t^7.93)/g1^44 + (6*t^8.04)/g1^34 + (2*t^8.15)/g1^24 - t^8.25/g1^14 - 3*g1^6*t^8.46 - 4*g1^16*t^8.57 + t^8.59/g1^96 - g1^26*t^8.67 + (2*t^8.69)/g1^86 + (4*t^8.8)/g1^76 + (7*t^8.9)/g1^66 - t^4.18/(g1^2*y) - t^6.33/(g1^26*y) - (2*t^6.43)/(g1^16*y) - t^6.54/(g1^6*y) - (g1^14*t^6.75)/y + (2*t^7.4)/(g1^38*y) + (2*t^7.5)/(g1^28*y) + (4*t^7.61)/(g1^18*y) + (3*t^7.72)/(g1^8*y) + (4*g1^2*t^7.82)/y + (3*g1^12*t^7.93)/y + (2*g1^22*t^8.03)/y - t^8.47/(g1^50*y) - (2*t^8.58)/(g1^40*y) - (2*t^8.68)/(g1^30*y) + (3*t^8.79)/(g1^20*y) + (2*t^8.89)/(g1^10*y) - (t^4.18*y)/g1^2 - (t^6.33*y)/g1^26 - (2*t^6.43*y)/g1^16 - (t^6.54*y)/g1^6 - g1^14*t^6.75*y + (2*t^7.4*y)/g1^38 + (2*t^7.5*y)/g1^28 + (4*t^7.61*y)/g1^18 + (3*t^7.72*y)/g1^8 + 4*g1^2*t^7.82*y + 3*g1^12*t^7.93*y + 2*g1^22*t^8.03*y - (t^8.47*y)/g1^50 - (2*t^8.58*y)/g1^40 - (2*t^8.68*y)/g1^30 + (3*t^8.79*y)/g1^20 + (2*t^8.89*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3044 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_5^2$ + $ M_4X_1$ | 0.5874 | 0.728 | 0.8068 | [X:[1.3333], M:[0.75, 0.9167, 1.25, 0.6667, 1.0, 0.9167], q:[0.7917, 0.7917], qb:[0.4583, 0.2917], phi:[0.4167]] | t^2.25 + t^2.5 + 2*t^2.75 + t^3. + t^3.5 + 2*t^3.75 + t^4. + t^4.5 + 2*t^4.75 + 3*t^5. + 3*t^5.25 + 3*t^5.5 + t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 1203/2048, c: 1491/2048, X1: 4/3, M1: 3/4, M2: 11/12, M3: 5/4, M4: 2/3, M5: 1, M6: 11/12, q1: 19/24, q2: 19/24, qb1: 11/24, qb2: 7/24, phi1: 5/12} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 743 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6499 | 0.8145 | 0.7979 | [X:[], M:[0.8171, 0.7602, 1.1829, 0.8455, 0.7318], q:[0.8028, 0.8028], qb:[0.3801, 0.437], phi:[0.3943]] | t^2.2 + t^2.28 + t^2.37 + t^2.45 + t^2.54 + 2*t^3.55 + t^3.63 + t^3.72 + t^4.39 + t^4.48 + 2*t^4.56 + 2*t^4.65 + 3*t^4.73 + 3*t^4.82 + 2*t^4.9 + t^4.99 + t^5.07 + 2*t^5.74 + 2*t^5.83 + 2*t^5.91 + t^6. - t^4.18/y - t^4.18*y | detail |