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 |
|---|---|---|---|---|---|---|---|---|---|
| 44954 | SO5adj1nf2 | $M_1q_1^2$ + $ \phi_1^4q_2$ | 1.7731 | 1.8812 | 0.9425 | [X:[], M:[1.2202], q:[0.3899, 0.4404], qb:[], phi:[0.3899]] | [X:[], M:[[2]], q:[[-1], [4]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ q_1q_2$, $ q_2^2$, $ \phi_1^2q_1$, $ M_1$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_2^2$, $ q_1^2q_2^2$, $ q_1q_2^3$, $ q_2^4$ | $M_1\phi_1^2$, $ 2\phi_1^3q_1q_2$, $ \phi_1^2q_1^2q_2$ | 3 | t^2.34 + t^2.49 + t^2.64 + t^3.51 + 3*t^3.66 + 3*t^4.68 + 2*t^4.83 + 3*t^4.98 + t^5.13 + t^5.28 + 3*t^6. + 3*t^6.15 + 3*t^6.3 + 2*t^7.02 + 5*t^7.17 + 10*t^7.32 + 4*t^7.47 + 3*t^7.62 + t^7.78 + t^7.93 + t^8.19 + 6*t^8.34 + 3*t^8.49 + 7*t^8.64 + 3*t^8.79 + 3*t^8.94 - t^4.17/y - t^5.34/y - t^5.49/y - (2*t^6.51)/y - t^6.66/y - t^6.81/y - (2*t^7.68)/y - (3*t^7.83)/y - t^7.98/y - (2*t^8.85)/y - t^4.17*y - t^5.34*y - t^5.49*y - 2*t^6.51*y - t^6.66*y - t^6.81*y - 2*t^7.68*y - 3*t^7.83*y - t^7.98*y - 2*t^8.85*y | t^2.34/g1^2 + g1^3*t^2.49 + g1^8*t^2.64 + t^3.51/g1^3 + 3*g1^2*t^3.66 + (3*t^4.68)/g1^4 + 2*g1*t^4.83 + 3*g1^6*t^4.98 + g1^11*t^5.13 + g1^16*t^5.28 + 3*t^6. + 3*g1^5*t^6.15 + 3*g1^10*t^6.3 + (2*t^7.02)/g1^6 + (5*t^7.17)/g1 + 10*g1^4*t^7.32 + 4*g1^9*t^7.47 + 3*g1^14*t^7.62 + g1^19*t^7.78 + g1^24*t^7.93 + t^8.19/g1^7 + (6*t^8.34)/g1^2 + 3*g1^3*t^8.49 + 7*g1^8*t^8.64 + 3*g1^13*t^8.79 + 3*g1^18*t^8.94 - t^4.17/(g1*y) - t^5.34/(g1^2*y) - (g1^3*t^5.49)/y - (2*t^6.51)/(g1^3*y) - (g1^2*t^6.66)/y - (g1^7*t^6.81)/y - (2*t^7.68)/(g1^4*y) - (3*g1*t^7.83)/y - (g1^6*t^7.98)/y - (2*t^8.85)/(g1^5*y) - (t^4.17*y)/g1 - (t^5.34*y)/g1^2 - g1^3*t^5.49*y - (2*t^6.51*y)/g1^3 - g1^2*t^6.66*y - g1^7*t^6.81*y - (2*t^7.68*y)/g1^4 - 3*g1*t^7.83*y - g1^6*t^7.98*y - (2*t^8.85*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45063 | $M_1q_1^2$ + $ \phi_1^4q_2$ + $ q_2^4$ | 1.7635 | 1.8651 | 0.9455 | [X:[], M:[1.25], q:[0.375, 0.5], qb:[], phi:[0.375]] | t^2.25 + t^2.62 + t^3. + t^3.38 + 3*t^3.75 + 3*t^4.5 + 2*t^4.88 + 3*t^5.25 + t^5.62 + 4*t^6. - t^4.12/y - t^5.25/y - t^5.62/y - t^4.12*y - t^5.25*y - t^5.62*y | detail | {a: 28893/16384, c: 30557/16384, M1: 5/4, q1: 3/8, q2: 1/2, phi1: 3/8} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 44927 | SO5adj1nf2 | $M_1q_1^2$ | 1.7956 | 1.9054 | 0.9423 | [X:[], M:[1.0344], q:[0.4828, 0.4419], qb:[], phi:[0.3584]] | t^2.15 + t^2.65 + t^2.77 + t^3.1 + t^3.48 + t^3.6 + t^3.85 + 2*t^4.3 + 2*t^4.8 + 2*t^4.92 + t^5.05 + t^5.25 + t^5.3 + t^5.43 + t^5.55 + t^5.63 + 2*t^5.75 - t^4.08/y - t^5.4/y - t^5.52/y - t^4.08*y - t^5.4*y - t^5.52*y | detail |