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 |
|---|---|---|---|---|---|---|---|---|---|
| 8597 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ | 1.1008 | 1.2258 | 0.898 | [X:[1.5882], M:[1.2353, 1.1765, 0.8824], q:[0.3088, 0.4559], qb:[], phi:[0.2059]] | [X:[[4]], M:[[-12], [8], [-28]], q:[[-3], [15]], qb:[], phi:[[-2]]] | 1 | {a: 20361/18496, c: 22673/18496, X1: 27/17, M1: 21/17, M2: 20/17, M3: 15/17, q1: 21/68, q2: 31/68, phi1: 7/34} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_3$, $ \phi_1q_1q_2$, $ M_2$, $ \phi_1^2q_1q_2$, $ M_1$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ X_1$, $ \phi_1^8$, $ M_3\phi_1^4$, $ M_3^2$, $ \phi_1^5q_1q_2$, $ \phi_1^2q_1^2q_2^2$ | $\phi_1^6q_1q_2$ | 0 | t^2.47 + t^2.65 + t^2.91 + 2*t^3.53 + 2*t^3.71 + t^4.15 + t^4.59 + t^4.76 + t^4.94 + t^5.12 + t^5.29 + t^5.38 + t^5.82 + 3*t^6.18 + 2*t^6.35 + t^6.44 + 2*t^6.62 + 3*t^7.06 + 4*t^7.24 + 4*t^7.41 + t^7.5 + t^7.59 + t^7.68 + t^7.76 + 2*t^7.85 + t^7.94 + t^8.12 + 3*t^8.29 + 2*t^8.47 + t^8.65 + 2*t^8.74 + 3*t^8.82 - t^8.91 + t^8.47/y^2 - t^3.62/y - t^4.85/y - t^6.09/y - t^6.26/y - t^6.53/y - t^7.15/y - (2*t^7.32)/y - t^7.5/y - t^7.76/y + t^8.12/y - t^8.56/y - t^8.74/y - t^8.91/y - t^3.62*y - t^4.85*y - t^6.09*y - t^6.26*y - t^6.53*y - t^7.15*y - 2*t^7.32*y - t^7.5*y - t^7.76*y + t^8.12*y - t^8.56*y - t^8.74*y - t^8.91*y + t^8.47*y^2 | t^2.47/g1^8 + t^2.65/g1^28 + g1^10*t^2.91 + 2*g1^8*t^3.53 + (2*t^3.71)/g1^12 + g1^6*t^4.15 + g1^24*t^4.59 + g1^4*t^4.76 + t^4.94/g1^16 + t^5.12/g1^36 + t^5.29/g1^56 + g1^2*t^5.38 + g1^20*t^5.82 + (3*t^6.18)/g1^20 + (2*t^6.35)/g1^40 + g1^18*t^6.44 + (2*t^6.62)/g1^2 + 3*g1^16*t^7.06 + (4*t^7.24)/g1^4 + (4*t^7.41)/g1^24 + g1^34*t^7.5 + t^7.59/g1^44 + g1^14*t^7.68 + t^7.76/g1^64 + (2*t^7.85)/g1^6 + t^7.94/g1^84 + g1^32*t^8.12 + 3*g1^12*t^8.29 + (2*t^8.47)/g1^8 + t^8.65/g1^28 + 2*g1^30*t^8.74 + (3*t^8.82)/g1^48 - g1^10*t^8.91 + t^8.47/(g1^8*y^2) - t^3.62/(g1^2*y) - t^4.85/(g1^6*y) - t^6.09/(g1^10*y) - t^6.26/(g1^30*y) - (g1^8*t^6.53)/y - (g1^6*t^7.15)/y - (2*t^7.32)/(g1^14*y) - t^7.5/(g1^34*y) - (g1^4*t^7.76)/y + t^8.12/(g1^36*y) - t^8.56/(g1^18*y) - t^8.74/(g1^38*y) - t^8.91/(g1^58*y) - (t^3.62*y)/g1^2 - (t^4.85*y)/g1^6 - (t^6.09*y)/g1^10 - (t^6.26*y)/g1^30 - g1^8*t^6.53*y - g1^6*t^7.15*y - (2*t^7.32*y)/g1^14 - (t^7.5*y)/g1^34 - g1^4*t^7.76*y + (t^8.12*y)/g1^36 - (t^8.56*y)/g1^18 - (t^8.74*y)/g1^38 - (t^8.91*y)/g1^58 + (t^8.47*y^2)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8767 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_2M_4$ | 1.116 | 1.2523 | 0.8912 | [X:[1.5904], M:[1.2289, 1.1807, 0.8674, 0.8193], q:[0.3072, 0.4639], qb:[], phi:[0.2048]] | 2*t^2.46 + t^2.6 + t^2.93 + t^3.54 + 2*t^3.69 + t^4.16 + t^4.63 + t^4.77 + 3*t^4.92 + 2*t^5.06 + t^5.2 + 2*t^5.39 + t^5.86 - t^3.61/y - t^4.84/y - t^3.61*y - t^4.84*y | detail | |
| 8763 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3^2$ | 1.0923 | 1.2173 | 0.8973 | [X:[1.5714], M:[1.2857, 1.1429, 1.0], q:[0.3214, 0.3929], qb:[], phi:[0.2143]] | t^2.57 + t^2.79 + t^3. + 2*t^3.43 + 2*t^3.86 + t^4.07 + t^4.29 + t^4.71 + t^5.14 + t^5.36 + 2*t^5.57 + t^6. - t^3.64/y - t^4.93/y - t^3.64*y - t^4.93*y | detail | {a: 23979/21952, c: 26723/21952, X1: 11/7, M1: 9/7, M2: 8/7, M3: 1, q1: 9/28, q2: 11/28, phi1: 3/14} |
| 8766 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_4\phi_1q_1q_2$ | 1.0985 | 1.2223 | 0.8988 | [X:[1.592], M:[1.224, 1.184, 0.856, 1.02], q:[0.306, 0.47], qb:[], phi:[0.204]] | t^2.45 + t^2.57 + t^3.06 + 2*t^3.55 + 2*t^3.67 + t^4.16 + t^4.66 + t^4.78 + t^4.9 + t^5.02 + t^5.14 + t^5.63 - t^3.61/y - t^4.84/y - t^3.61*y - t^4.84*y | detail | |
| 8765 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_4\phi_1^4$ | 1.086 | 1.2002 | 0.9048 | [X:[1.586], M:[1.242, 1.172, 0.8981, 1.172], q:[0.3105, 0.4475], qb:[], phi:[0.207]] | t^2.69 + t^2.89 + 3*t^3.52 + 2*t^3.73 + t^4.14 + t^4.55 + t^4.76 + t^5.39 + t^5.79 - 2*t^6. - t^3.62/y - t^4.86/y - t^3.62*y - t^4.86*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8436 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ | 1.1723 | 1.2973 | 0.9036 | [X:[1.6599], M:[1.0202, 0.8501, 0.8501], q:[0.4899, 0.4899], qb:[], phi:[0.17]] | t^2.04 + 2*t^2.55 + t^3.06 + t^3.45 + t^3.96 + t^4.08 + 3*t^4.47 + 2*t^4.59 + t^4.98 + 4*t^5.1 + t^5.49 + 2*t^5.61 - t^6. - t^3.51/y - t^4.53/y - t^5.55/y - t^3.51*y - t^4.53*y - t^5.55*y | detail |