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 |
|---|---|---|---|---|---|---|---|---|---|
| 5412 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5M_8$ | 0.602 | 0.7519 | 0.8006 | [X:[1.3384], M:[0.6616, 1.1128, 0.812, 1.0376, 0.9624, 1.188, 0.6692, 1.0376], q:[0.7782, 0.5602], qb:[0.6278, 0.2594], phi:[0.4436]] | [X:[[36]], M:[[-36], [12], [-20], [4], [-4], [20], [18], [4]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ M_4$, $ M_8$, $ M_2$, $ M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_7^2$, $ X_1$, $ q_1\tilde{q}_1$, $ M_7q_2\tilde{q}_2$, $ M_7\phi_1^2$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_7$, $ M_7M_8$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^4$, $ M_2M_7$, $ \phi_1q_1q_2$, $ M_6M_7$, $ M_4q_2\tilde{q}_2$, $ M_8q_2\tilde{q}_2$, $ M_4\phi_1^2$, $ M_8\phi_1^2$, $ M_7\phi_1q_2\tilde{q}_2$ | . | -2 | t^2.01 + t^2.46 + t^2.66 + 2*t^3.11 + t^3.34 + t^3.56 + t^3.79 + 2*t^4.02 + t^4.22 + t^4.47 + t^4.67 + t^4.69 + t^4.92 + 3*t^5.12 + t^5.32 + t^5.35 + 3*t^5.57 + t^5.77 + t^5.8 - 2*t^6. + 3*t^6.02 - t^6.2 + 3*t^6.23 + t^6.25 - t^6.43 + t^6.45 + 2*t^6.47 - t^6.65 + 4*t^6.68 + t^6.7 + t^6.9 + t^6.93 - 2*t^7.11 + 5*t^7.13 + t^7.15 + 3*t^7.35 + t^7.38 - t^7.53 - t^7.56 + 5*t^7.58 + t^7.78 + 3*t^7.8 - 3*t^8.01 + 6*t^8.03 - 2*t^8.21 + 4*t^8.23 + 2*t^8.26 - 2*t^8.46 + 4*t^8.48 + t^8.64 - 4*t^8.66 + 5*t^8.68 + 3*t^8.71 - t^8.86 - t^8.89 + t^8.91 + 2*t^8.93 - t^4.33/y - t^6.34/y + t^7.22/y - t^7.44/y + t^7.47/y + t^7.67/y + (3*t^8.12)/y + t^8.32/y + (3*t^8.57)/y + (2*t^8.77)/y + (2*t^8.8)/y - t^4.33*y - t^6.34*y + t^7.22*y - t^7.44*y + t^7.47*y + t^7.67*y + 3*t^8.12*y + t^8.32*y + 3*t^8.57*y + 2*t^8.77*y + 2*t^8.8*y | g1^18*t^2.01 + g1^34*t^2.46 + t^2.66/g1^12 + 2*g1^4*t^3.11 + g1^12*t^3.34 + g1^20*t^3.56 + g1^28*t^3.79 + 2*g1^36*t^4.02 + t^4.22/g1^10 + g1^52*t^4.47 + g1^6*t^4.67 + g1^60*t^4.69 + g1^68*t^4.92 + 3*g1^22*t^5.12 + t^5.32/g1^24 + g1^30*t^5.35 + 3*g1^38*t^5.57 + t^5.77/g1^8 + g1^46*t^5.8 - 2*t^6. + 3*g1^54*t^6.02 - t^6.2/g1^46 + 3*g1^8*t^6.23 + g1^62*t^6.25 - t^6.43/g1^38 + g1^16*t^6.45 + 2*g1^70*t^6.47 - t^6.65/g1^30 + 4*g1^24*t^6.68 + g1^78*t^6.7 + g1^32*t^6.9 + g1^86*t^6.93 - (2*t^7.11)/g1^14 + 5*g1^40*t^7.13 + g1^94*t^7.15 + 3*g1^48*t^7.35 + g1^102*t^7.38 - t^7.53/g1^52 - g1^2*t^7.56 + 5*g1^56*t^7.58 + g1^10*t^7.78 + 3*g1^64*t^7.8 - 3*g1^18*t^8.01 + 6*g1^72*t^8.03 - (2*t^8.21)/g1^28 + 4*g1^26*t^8.23 + 2*g1^80*t^8.26 - 2*g1^34*t^8.46 + 4*g1^88*t^8.48 + t^8.64/g1^66 - (4*t^8.66)/g1^12 + 5*g1^42*t^8.68 + 3*g1^96*t^8.71 - t^8.86/g1^58 - t^8.89/g1^4 + g1^50*t^8.91 + 2*g1^104*t^8.93 - t^4.33/(g1^6*y) - (g1^12*t^6.34)/y + t^7.22/(g1^10*y) - t^7.44/(g1^2*y) + (g1^52*t^7.47)/y + (g1^6*t^7.67)/y + (3*g1^22*t^8.12)/y + t^8.32/(g1^24*y) + (3*g1^38*t^8.57)/y + (2*t^8.77)/(g1^8*y) + (2*g1^46*t^8.8)/y - (t^4.33*y)/g1^6 - g1^12*t^6.34*y + (t^7.22*y)/g1^10 - (t^7.44*y)/g1^2 + g1^52*t^7.47*y + g1^6*t^7.67*y + 3*g1^22*t^8.12*y + (t^8.32*y)/g1^24 + 3*g1^38*t^8.57*y + (2*t^8.77*y)/g1^8 + 2*g1^46*t^8.8*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 |
|---|---|---|---|---|---|---|---|---|
| 6898 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5M_8$ + $ M_2M_9$ | 0.6124 | 0.7678 | 0.7976 | [X:[1.3556], M:[0.6444, 1.1185, 0.8025, 1.0395, 0.9605, 1.1975, 0.6778, 1.0395, 0.8815], q:[0.7796, 0.5759], qb:[0.6216, 0.2599], phi:[0.4407]] | t^2.03 + t^2.51 + 2*t^2.64 + 2*t^3.12 + t^3.59 + t^3.83 + 2*t^4.07 + t^4.2 + t^4.54 + 2*t^4.68 + t^4.78 + t^5.01 + 4*t^5.15 + 3*t^5.29 + 3*t^5.63 + 3*t^5.76 - 3*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3816 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6056 | 0.7571 | 0.7998 | [X:[1.3448], M:[0.6552, 1.1149, 0.8084, 1.0383, 0.9617, 1.1916, 0.6724], q:[0.7787, 0.5661], qb:[0.6255, 0.2596], phi:[0.4425]] | t^2.02 + t^2.48 + t^2.66 + t^2.89 + t^3.11 + t^3.34 + t^3.57 + t^3.8 + 2*t^4.03 + t^4.21 + t^4.49 + t^4.67 + t^4.72 + t^4.9 + t^4.95 + 2*t^5.13 + t^5.31 + 2*t^5.36 + t^5.54 + 2*t^5.59 + t^5.77 + t^5.82 - t^6. - t^4.33/y - t^4.33*y | detail |