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 |
|---|---|---|---|---|---|---|---|---|---|
| 45066 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2$ | 1.7896 | 1.8921 | 0.9458 | [X:[], M:[0.8313, 1.0608, 1.2766], q:[0.4452, 0.4696], qb:[], phi:[0.3617]] | [X:[], M:[[-1, 2], [0, -6], [2, 2]], q:[[3, 0], [0, 3]], qb:[], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ q_1^2$, $ q_1q_2$, $ M_2$, $ \phi_1^2q_2$, $ M_3$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ \phi_1^2q_2^2$, $ M_1q_1^2$, $ M_1q_1q_2$, $ q_1^4$, $ q_1^3q_2$, $ q_1^2q_2^2$, $ M_1M_2$, $ M_2q_1^2$ | $\phi_1^3q_1q_2$ | -1 | t^2.49 + t^2.67 + t^2.74 + t^3.18 + t^3.58 + 2*t^3.83 + t^4.34 + t^4.84 + t^4.91 + 2*t^4.99 + t^5.17 + t^5.24 + t^5.34 + t^5.42 + t^5.49 + t^5.68 + t^5.85 - t^6. + t^6.25 + 3*t^6.32 + t^6.36 + 2*t^6.5 + 2*t^6.57 + 2*t^7.01 + t^7.34 + 3*t^7.41 + 2*t^7.48 + t^7.51 + t^7.52 + 2*t^7.59 + 5*t^7.66 + 2*t^7.73 + t^7.84 + t^7.91 + t^7.92 + t^7.98 + t^8.01 + t^8.02 + t^8.09 + t^8.16 + 3*t^8.17 + t^8.23 - t^8.24 + t^8.35 - t^8.49 + t^8.53 + t^8.57 + t^8.68 + 3*t^8.82 + t^8.86 + t^8.92 - t^4.09/y - t^5.42/y - t^5.49/y - t^6.26/y - t^6.58/y - t^6.76/y - t^6.83/y - t^7.27/y - t^7.66/y - (2*t^7.91)/y - t^7.99/y - t^8.09/y - t^8.17/y + t^8.42/y - t^8.43/y - t^8.6/y + t^8.68/y + t^8.85/y - t^4.09*y - t^5.42*y - t^5.49*y - t^6.26*y - t^6.58*y - t^6.76*y - t^6.83*y - t^7.27*y - t^7.66*y - 2*t^7.91*y - t^7.99*y - t^8.09*y - t^8.17*y + t^8.42*y - t^8.43*y - t^8.6*y + t^8.68*y + t^8.85*y | (g2^2*t^2.49)/g1 + g1^6*t^2.67 + g1^3*g2^3*t^2.74 + t^3.18/g2^6 + (g2*t^3.58)/g1^2 + 2*g1^2*g2^2*t^3.83 + t^4.34/(g1^4*g2^4) + (g1^4*t^4.84)/g2^2 + g1*g2*t^4.91 + (2*g2^4*t^4.99)/g1^2 + g1^5*g2^2*t^5.17 + g1^2*g2^5*t^5.24 + g1^12*t^5.34 + g1^9*g2^3*t^5.42 + g1^6*g2^6*t^5.49 + t^5.68/(g1*g2^4) + (g1^6*t^5.85)/g2^6 - t^6. + g1^4*g2*t^6.25 + 3*g1*g2^4*t^6.32 + t^6.36/g2^12 + 2*g1^8*g2^2*t^6.5 + 2*g1^5*g2^5*t^6.57 + (2*g1^2*t^7.01)/g2^4 + g1^3*t^7.34 + 3*g2^3*t^7.41 + (2*g2^6*t^7.48)/g1^3 + (g1^10*t^7.51)/g2^2 + t^7.52/(g1^4*g2^10) + 2*g1^7*g2*t^7.59 + 5*g1^4*g2^4*t^7.66 + 2*g1*g2^7*t^7.73 + g1^11*g2^2*t^7.84 + g1^8*g2^5*t^7.91 + t^7.92/(g1^6*g2^3) + g1^5*g2^8*t^7.98 + g1^18*t^8.01 + (g1^4*t^8.02)/g2^8 + g1^15*g2^3*t^8.09 + g1^12*g2^6*t^8.16 + (3*t^8.17)/(g1^2*g2^2) + g1^9*g2^9*t^8.23 - (g2*t^8.24)/g1^5 + (g1^5*t^8.35)/g2^4 - (g2^2*t^8.49)/g1 + (g1^12*t^8.53)/g2^6 + (g2^5*t^8.57)/g1^4 + t^8.68/(g1^8*g2^8) + 3*g2^6*t^8.82 + t^8.86/(g1*g2^10) + g1^10*g2*t^8.92 - t^4.09/(g1*g2*y) - (g1^2*t^5.42)/(g2*y) - (g2^2*t^5.49)/(g1*y) - t^6.26/(g1^3*g2^3*y) - (g2*t^6.58)/(g1^2*y) - (g1^5*t^6.76)/(g2*y) - (g1^2*g2^2*t^6.83)/y - t^7.27/(g1*g2^7*y) - t^7.66/(g1^3*y) - (2*g1*g2*t^7.91)/y - (g2^4*t^7.99)/(g1^2*y) - (g1^8*t^8.09)/(g2*y) - (g1^5*g2^2*t^8.17)/y + (g1^9*g2^3*t^8.42)/y - t^8.43/(g1^5*g2^5*y) - (g1^2*t^8.6)/(g2^7*y) + t^8.68/(g1*g2^4*y) + (g1^6*t^8.85)/(g2^6*y) - (t^4.09*y)/(g1*g2) - (g1^2*t^5.42*y)/g2 - (g2^2*t^5.49*y)/g1 - (t^6.26*y)/(g1^3*g2^3) - (g2*t^6.58*y)/g1^2 - (g1^5*t^6.76*y)/g2 - g1^2*g2^2*t^6.83*y - (t^7.27*y)/(g1*g2^7) - (t^7.66*y)/g1^3 - 2*g1*g2*t^7.91*y - (g2^4*t^7.99*y)/g1^2 - (g1^8*t^8.09*y)/g2 - g1^5*g2^2*t^8.17*y + g1^9*g2^3*t^8.42*y - (t^8.43*y)/(g1^5*g2^5) - (g1^2*t^8.6*y)/g2^7 + (t^8.68*y)/(g1*g2^4) + (g1^6*t^8.85*y)/g2^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45116 | $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2q_2$ + $ M_4q_1^2$ | 1.8178 | 1.9428 | 0.9357 | [X:[], M:[0.8239, 1.0564, 0.8239, 1.0564], q:[0.4718, 0.4718], qb:[], phi:[0.3521]] | t^2.11 + 2*t^2.47 + t^2.83 + 2*t^3.17 + t^3.89 + 2*t^4.23 + 2*t^4.58 + 7*t^4.94 + 2*t^5.28 + 2*t^5.3 + 4*t^5.64 + t^5.66 - t^4.06/y - (2*t^5.47)/y - t^4.06*y - 2*t^5.47*y | detail | |
| 45239 | $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2q_2$ + $ q_1^3q_2$ | 1.8129 | 1.9374 | 0.9357 | [X:[], M:[0.8244, 1.0228, 0.8397], q:[0.5038, 0.4886], qb:[], phi:[0.3359]] | t^2.02 + t^2.47 + t^2.52 + t^2.98 + t^3.02 + t^3.07 + t^3.98 + 2*t^4.03 + t^4.49 + t^4.53 + 2*t^4.95 + 3*t^4.99 + 3*t^5.04 + t^5.08 + t^5.45 + 2*t^5.5 + 2*t^5.54 + t^5.59 + t^6. - t^4.01/y - t^5.47/y - t^5.52/y - t^4.01*y - t^5.47*y - t^5.52*y | detail | |
| 45202 | $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2$ + $ M_2q_1^2$ | 1.789 | 1.8908 | 0.9461 | [X:[], M:[0.819, 1.0861, 1.2759], q:[0.4569, 0.4569], qb:[], phi:[0.362]] | t^2.46 + 2*t^2.74 + t^3.26 + t^3.54 + 2*t^3.83 + t^4.34 + 4*t^4.91 + 2*t^5.2 + 3*t^5.48 + t^5.72 - t^4.09/y - (2*t^5.46)/y - t^4.09*y - 2*t^5.46*y | detail | |
| 45121 | $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1^2q_2$ | 1.8059 | 1.9216 | 0.9398 | [X:[], M:[0.8374, 1.0503, 1.2749, 0.8], q:[0.4374, 0.4749], qb:[], phi:[0.3626]] | t^2.4 + t^2.51 + t^2.62 + t^2.74 + t^3.15 + 2*t^3.82 + t^4.35 + 2*t^4.8 + 2*t^4.91 + 3*t^5.02 + 2*t^5.14 + 2*t^5.25 + t^5.36 + t^5.47 + t^5.55 + t^5.66 + t^5.78 - t^6. - t^4.09/y - t^5.4/y - t^5.51/y - t^4.09*y - t^5.4*y - t^5.51*y | detail | |
| 45227 | $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2$ + $ M_4q_1^2$ | 1.7826 | 1.8786 | 0.9489 | [X:[], M:[0.8158, 1.073, 1.2953, 1.041], q:[0.4795, 0.4635], qb:[], phi:[0.3523]] | t^2.45 + t^2.83 + t^3.12 + t^3.22 + t^3.5 + 2*t^3.89 + t^4.23 + 2*t^4.9 + t^4.94 + t^4.99 + t^5.28 + t^5.57 + t^5.66 + t^5.67 + t^5.95 - t^6. - t^4.06/y - t^5.45/y - t^5.5/y - t^4.06*y - t^5.45*y - t^5.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 44978 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_2q_2^2$ | 1.8097 | 1.9292 | 0.9381 | [X:[], M:[0.8324, 1.0547], q:[0.448, 0.4726], qb:[], phi:[0.3598]] | t^2.16 + t^2.5 + t^2.69 + t^2.76 + t^3.16 + t^3.58 + t^3.84 + 2*t^4.32 + t^4.66 + 2*t^4.85 + 2*t^4.92 + 2*t^4.99 + t^5.19 + t^5.26 + t^5.32 + t^5.38 + t^5.45 + t^5.52 + t^5.66 + t^5.74 + t^5.85 - t^4.08/y - t^5.42/y - t^5.5/y - t^4.08*y - t^5.42*y - t^5.5*y | detail |