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 |
|---|---|---|---|---|---|---|---|---|---|
| 45269 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1^2$ + $ M_4q_1q_2$ | 1.7655 | 1.8851 | 0.9366 | [X:[1.3859], M:[0.7717, 0.7717, 0.7717, 0.9212], q:[0.6141, 0.4647], qb:[], phi:[0.3071]] | [X:[[2]], M:[[4], [4], [4], [-3]], q:[[-2], [5]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ M_3$, $ M_4$, $ q_2^2$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ X_1$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1M_3$, $ M_2M_3$, $ M_3^2$, $ \phi_1^2q_2^2$, $ M_1M_4$, $ M_2M_4$, $ M_3M_4$, $ \phi_1^2q_1q_2$, $ M_1q_2^2$, $ M_2q_2^2$, $ M_3q_2^2$, $ M_4^2$, $ \phi_1^2q_1^2$, $ M_2\phi_1^2q_2$, $ M_3\phi_1^2q_2$, $ M_4q_2^2$, $ q_2^4$ | $M_4\phi_1^2q_2$, $ \phi_1^3q_1q_2$ | -1 | 3*t^2.32 + t^2.76 + t^2.79 + t^3.24 + 2*t^4.16 + 7*t^4.63 + 4*t^5.08 + 3*t^5.1 + 2*t^5.53 + 3*t^5.55 + t^5.58 - t^6. + t^6.02 - 2*t^6.45 + 6*t^6.47 + t^6.92 + 15*t^6.95 - t^7.37 + 11*t^7.39 + 7*t^7.42 + 6*t^7.84 + 8*t^7.87 + 3*t^7.89 + t^8.29 - t^8.32 + 3*t^8.34 + t^8.36 - 7*t^8.76 + 11*t^8.79 + t^8.81 - t^3.92/y - t^5.32/y - (2*t^5.76)/y - (3*t^6.24)/y - t^6.68/y - t^6.71/y - t^7.16/y - (4*t^8.08)/y + (2*t^8.1)/y - t^8.53/y - (5*t^8.55)/y - t^3.92*y - t^5.32*y - 2*t^5.76*y - 3*t^6.24*y - t^6.68*y - t^6.71*y - t^7.16*y - 4*t^8.08*y + 2*t^8.1*y - t^8.53*y - 5*t^8.55*y | 3*g1^4*t^2.32 + t^2.76/g1^3 + g1^10*t^2.79 + g1^3*t^3.24 + 2*g1^2*t^4.16 + 7*g1^8*t^4.63 + 4*g1*t^5.08 + 3*g1^14*t^5.1 + (2*t^5.53)/g1^6 + 3*g1^7*t^5.55 + g1^20*t^5.58 - t^6. + g1^13*t^6.02 - (2*t^6.45)/g1^7 + 6*g1^6*t^6.47 + t^6.92/g1 + 15*g1^12*t^6.95 - t^7.37/g1^8 + 11*g1^5*t^7.39 + 7*g1^18*t^7.42 + (6*t^7.84)/g1^2 + 8*g1^11*t^7.87 + 3*g1^24*t^7.89 + t^8.29/g1^9 - g1^4*t^8.32 + 3*g1^17*t^8.34 + g1^30*t^8.36 - (7*t^8.76)/g1^3 + 11*g1^10*t^8.79 + g1^23*t^8.81 - t^3.92/(g1*y) - (g1^4*t^5.32)/y - (2*t^5.76)/(g1^3*y) - (3*g1^3*t^6.24)/y - t^6.68/(g1^4*y) - (g1^9*t^6.71)/y - (g1^2*t^7.16)/y - (4*g1*t^8.08)/y + (2*g1^14*t^8.1)/y - t^8.53/(g1^6*y) - (5*g1^7*t^8.55)/y - (t^3.92*y)/g1 - g1^4*t^5.32*y - (2*t^5.76*y)/g1^3 - 3*g1^3*t^6.24*y - (t^6.68*y)/g1^4 - g1^9*t^6.71*y - g1^2*t^7.16*y - 4*g1*t^8.08*y + 2*g1^14*t^8.1*y - (t^8.53*y)/g1^6 - 5*g1^7*t^8.55*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 |
|---|---|---|---|---|---|---|---|---|
| 45495 | $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1^2$ + $ M_4q_1q_2$ + $ M_5\phi_1^2q_2$ | 1.773 | 1.8961 | 0.9351 | [X:[1.3893], M:[0.7786, 0.7786, 0.7786, 0.916, 0.916], q:[0.6107, 0.4733], qb:[], phi:[0.3053]] | 3*t^2.34 + 2*t^2.75 + t^2.84 + 2*t^4.17 + 7*t^4.67 + 7*t^5.08 + 3*t^5.18 + 4*t^5.5 + t^5.59 + t^5.68 - 2*t^6. - t^3.92/y - t^5.34/y - (2*t^5.75)/y - t^3.92*y - t^5.34*y - 2*t^5.75*y | detail | |
| 45470 | $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1^2$ + $ M_4q_1q_2$ + $ q_2^4$ | 1.7618 | 1.8743 | 0.94 | [X:[1.4], M:[0.8, 0.8, 0.8, 0.9], q:[0.6, 0.5], qb:[], phi:[0.3]] | 3*t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^4.2 + 7*t^4.8 + 4*t^5.1 + 5*t^5.4 + 3*t^5.7 - t^3.9/y - t^5.4/y - (2*t^5.7)/y - t^3.9*y - t^5.4*y - 2*t^5.7*y | detail | {a: 7047/4000, c: 7497/4000, X1: 7/5, M1: 4/5, M2: 4/5, M3: 4/5, M4: 9/10, q1: 3/5, q2: 1/2, phi1: 3/10} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45201 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1^2$ | 1.7585 | 1.8752 | 0.9378 | [X:[1.3824], M:[0.7649, 0.7649, 0.7649], q:[0.6176, 0.4561], qb:[], phi:[0.3088]] | 3*t^2.29 + t^2.74 + 2*t^3.22 + 2*t^4.15 + 7*t^4.59 + 3*t^5.03 + t^5.07 + t^5.47 + 5*t^5.52 + t^5.56 + 2*t^5.96 - 2*t^6. - t^3.93/y - t^5.29/y - (2*t^5.78)/y - t^3.93*y - t^5.29*y - 2*t^5.78*y | detail |