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 |
|---|---|---|---|---|---|---|---|---|---|
| 8379 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2q_1q_2$ | 1.1616 | 1.2825 | 0.9057 | [X:[1.645], M:[0.8398, 1.0649], q:[0.4437, 0.4913], qb:[], phi:[0.1775]] | [X:[[4]], M:[[-32], [-12]], q:[[-5], [17]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_1$, $ M_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1^2q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ M_1\phi_1^4$, $ X_1$, $ M_1^2$, $ M_2\phi_1^4$, $ \phi_1^5q_1^2$, $ \phi_1^5q_1q_2$, $ M_1M_2$, $ M_1\phi_1q_1^2$ | $\phi_1^6q_1q_2$ | -1 | t^2.13 + t^2.52 + 2*t^3.19 + t^3.34 + t^3.87 + 2*t^4.26 + t^4.4 + t^4.55 + t^4.65 + t^4.94 + t^5.04 + 2*t^5.32 + t^5.47 + 2*t^5.71 - t^6. - t^6.14 + 5*t^6.39 + 2*t^6.53 + t^6.68 + 2*t^6.78 + 3*t^7.06 + t^7.17 + 4*t^7.45 + t^7.56 + 3*t^7.6 + 2*t^7.74 + 2*t^7.84 + t^7.88 + 2*t^8.13 + 2*t^8.23 + 4*t^8.52 + t^8.66 + 2*t^8.81 + 5*t^8.91 + t^8.95 + t^8.13/y^2 - t^8.66/y^2 - t^3.53/y - t^4.6/y - t^5.66/y - t^6.05/y - (3*t^6.73)/y - t^6.87/y - t^7.12/y + t^7.65/y - (3*t^7.79)/y - t^7.94/y - t^8.18/y + (2*t^8.32)/y + t^8.47/y - t^8.57/y + (2*t^8.71)/y - (2*t^8.86)/y - t^3.53*y - t^4.6*y - t^5.66*y - t^6.05*y - 3*t^6.73*y - t^6.87*y - t^7.12*y + t^7.65*y - 3*t^7.79*y - t^7.94*y - t^8.18*y + 2*t^8.32*y + t^8.47*y - t^8.57*y + 2*t^8.71*y - 2*t^8.86*y + t^8.13*y^2 - t^8.66*y^2 | t^2.13/g1^8 + t^2.52/g1^32 + (2*t^3.19)/g1^12 + g1^10*t^3.34 + g1^8*t^3.87 + (2*t^4.26)/g1^16 + g1^6*t^4.4 + g1^28*t^4.55 + t^4.65/g1^40 + g1^4*t^4.94 + t^5.04/g1^64 + (2*t^5.32)/g1^20 + g1^2*t^5.47 + (2*t^5.71)/g1^44 - t^6. - g1^22*t^6.14 + (5*t^6.39)/g1^24 + (2*t^6.53)/g1^2 + g1^20*t^6.68 + (2*t^6.78)/g1^48 + (3*t^7.06)/g1^4 + t^7.17/g1^72 + (4*t^7.45)/g1^28 + t^7.56/g1^96 + (3*t^7.6)/g1^6 + 2*g1^16*t^7.74 + (2*t^7.84)/g1^52 + g1^38*t^7.88 + (2*t^8.13)/g1^8 + (2*t^8.23)/g1^76 + (4*t^8.52)/g1^32 + t^8.66/g1^10 + 2*g1^12*t^8.81 + (5*t^8.91)/g1^56 + g1^34*t^8.95 + t^8.13/(g1^8*y^2) - t^8.66/(g1^10*y^2) - t^3.53/(g1^2*y) - t^4.6/(g1^6*y) - t^5.66/(g1^10*y) - t^6.05/(g1^34*y) - (3*t^6.73)/(g1^14*y) - (g1^8*t^6.87)/y - t^7.12/(g1^38*y) + t^7.65/(g1^40*y) - (3*t^7.79)/(g1^18*y) - (g1^4*t^7.94)/y - t^8.18/(g1^42*y) + (2*t^8.32)/(g1^20*y) + (g1^2*t^8.47)/y - t^8.57/(g1^66*y) + (2*t^8.71)/(g1^44*y) - (2*t^8.86)/(g1^22*y) - (t^3.53*y)/g1^2 - (t^4.6*y)/g1^6 - (t^5.66*y)/g1^10 - (t^6.05*y)/g1^34 - (3*t^6.73*y)/g1^14 - g1^8*t^6.87*y - (t^7.12*y)/g1^38 + (t^7.65*y)/g1^40 - (3*t^7.79*y)/g1^18 - g1^4*t^7.94*y - (t^8.18*y)/g1^42 + (2*t^8.32*y)/g1^20 + g1^2*t^8.47*y - (t^8.57*y)/g1^66 + (2*t^8.71*y)/g1^44 - (2*t^8.86*y)/g1^22 + (t^8.13*y^2)/g1^8 - (t^8.66*y^2)/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 |
|---|---|---|---|---|---|---|---|---|
| 8511 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2q_1q_2$ + $ M_3\phi_1q_1q_2$ | 1.172 | 1.3008 | 0.901 | [X:[1.6474], M:[0.821, 1.0579, 0.8816], q:[0.4408, 0.5013], qb:[], phi:[0.1763]] | t^2.12 + t^2.46 + t^2.64 + 2*t^3.17 + t^3.88 + 2*t^4.23 + t^4.41 + t^4.58 + t^4.59 + t^4.76 + t^4.93 + t^4.94 + t^5.11 + 3*t^5.29 + 2*t^5.64 + t^5.82 - t^6. - t^3.53/y - t^4.59/y - t^5.64/y - t^5.99/y - t^3.53*y - t^4.59*y - t^5.64*y - t^5.99*y | detail | |
| 8512 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2q_1q_2$ + $ M_3\phi_1^2q_1q_2$ | 1.1819 | 1.3212 | 0.8946 | [X:[1.6455], M:[0.8357, 1.0634, 0.7089], q:[0.4431, 0.4935], qb:[], phi:[0.1772]] | 2*t^2.13 + t^2.51 + 2*t^3.19 + t^3.34 + 4*t^4.25 + t^4.4 + t^4.56 + 2*t^4.63 + t^4.94 + t^5.01 + 4*t^5.32 + 2*t^5.47 + 2*t^5.7 - 2*t^6. - t^3.53/y - t^4.6/y - (2*t^5.66)/y - t^3.53*y - t^4.6*y - 2*t^5.66*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8196 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ | 1.168 | 1.293 | 0.9033 | [X:[1.6419], M:[0.8647], q:[0.4476, 0.4781], qb:[], phi:[0.179]] | t^2.15 + t^2.59 + t^2.78 + t^3.22 + t^3.31 + t^3.85 + 2*t^4.3 + t^4.39 + t^4.48 + t^4.74 + 2*t^4.93 + t^5.19 + 2*t^5.37 + t^5.46 + t^5.55 + t^5.82 - t^3.54/y - t^4.61/y - t^5.69/y - t^3.54*y - t^4.61*y - t^5.69*y | detail |