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 |
|---|---|---|---|---|---|---|---|---|---|
| 8642 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1^2$ + $ M_3\phi_1q_2^2$ | 1.1745 | 1.3109 | 0.8959 | [X:[1.6344], M:[1.0, 0.9139, 0.8279], q:[0.4086, 0.4947], qb:[], phi:[0.1828]] | [X:[[4]], M:[[0], [-10], [-20]], q:[[1], [11]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_3$, $ q_1q_2$, $ M_2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_2^2$, $ M_3\phi_1^4$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_2\phi_1^4$, $ M_3^2$, $ M_1\phi_1^4$, $ M_3q_1q_2$, $ M_2M_3$, $ q_1^2q_2^2$, $ M_2q_1q_2$, $ M_2^2$, $ M_1M_3$, $ M_1q_1q_2$ | $\phi_1^6q_1q_2$ | 0 | t^2.19 + t^2.48 + t^2.71 + t^2.74 + t^3. + t^3.81 + t^4.1 + t^4.35 + t^4.39 + t^4.61 + t^4.68 + 2*t^4.9 + t^4.94 + t^4.97 + 2*t^5.19 + t^5.23 + t^5.42 + t^5.45 + 2*t^5.48 + t^5.71 - t^6.26 + t^6.29 + t^6.52 + t^6.55 + 2*t^6.58 + 2*t^6.81 + t^6.84 + t^6.87 + t^7.06 + 4*t^7.1 + t^7.13 + t^7.16 + t^7.32 + t^7.35 + 2*t^7.39 + t^7.42 + t^7.45 + 3*t^7.61 + t^7.65 + 3*t^7.68 + t^7.71 + 2*t^7.9 + t^7.94 + 2*t^7.97 + t^8.13 + t^8.16 + 4*t^8.19 + t^8.23 + t^8.42 + t^8.71 - 3*t^8.74 + 2*t^8.77 + t^8.19/y^2 - t^8.74/y^2 - t^3.55/y - t^4.65/y - t^5.74/y - t^6.03/y - t^6.26/y - t^6.29/y - t^6.55/y - t^6.84/y - t^7.13/y - t^7.35/y - t^7.39/y - t^7.65/y + t^7.68/y + t^7.9/y + (2*t^8.19)/y - t^8.52/y + t^8.71/y - t^8.74/y - t^8.77/y - t^8.97/y - t^3.55*y - t^4.65*y - t^5.74*y - t^6.03*y - t^6.26*y - t^6.29*y - t^6.55*y - t^6.84*y - t^7.13*y - t^7.35*y - t^7.39*y - t^7.65*y + t^7.68*y + t^7.9*y + 2*t^8.19*y - t^8.52*y + t^8.71*y - t^8.74*y - t^8.77*y - t^8.97*y + t^8.19*y^2 - t^8.74*y^2 | t^2.19/g1^8 + t^2.48/g1^20 + g1^12*t^2.71 + t^2.74/g1^10 + t^3. + g1^8*t^3.81 + t^4.1/g1^4 + g1^6*t^4.35 + t^4.39/g1^16 + g1^16*t^4.61 + t^4.68/g1^28 + 2*g1^4*t^4.9 + t^4.94/g1^18 + t^4.97/g1^40 + (2*t^5.19)/g1^8 + t^5.23/g1^30 + g1^24*t^5.42 + g1^2*t^5.45 + (2*t^5.48)/g1^20 + g1^12*t^5.71 - g1^10*t^6.26 + t^6.29/g1^12 + g1^20*t^6.52 + t^6.55/g1^2 + (2*t^6.58)/g1^24 + 2*g1^8*t^6.81 + t^6.84/g1^14 + t^6.87/g1^36 + g1^18*t^7.06 + (4*t^7.1)/g1^4 + t^7.13/g1^26 + t^7.16/g1^48 + g1^28*t^7.32 + g1^6*t^7.35 + (2*t^7.39)/g1^16 + t^7.42/g1^38 + t^7.45/g1^60 + 3*g1^16*t^7.61 + t^7.65/g1^6 + (3*t^7.68)/g1^28 + t^7.71/g1^50 + 2*g1^4*t^7.9 + t^7.94/g1^18 + (2*t^7.97)/g1^40 + g1^36*t^8.13 + g1^14*t^8.16 + (4*t^8.19)/g1^8 + t^8.23/g1^30 + g1^24*t^8.42 + g1^12*t^8.71 - (3*t^8.74)/g1^10 + (2*t^8.77)/g1^32 + t^8.19/(g1^8*y^2) - t^8.74/(g1^10*y^2) - t^3.55/(g1^2*y) - t^4.65/(g1^6*y) - t^5.74/(g1^10*y) - t^6.03/(g1^22*y) - (g1^10*t^6.26)/y - t^6.29/(g1^12*y) - t^6.55/(g1^2*y) - t^6.84/(g1^14*y) - t^7.13/(g1^26*y) - (g1^6*t^7.35)/y - t^7.39/(g1^16*y) - t^7.65/(g1^6*y) + t^7.68/(g1^28*y) + (g1^4*t^7.9)/y + (2*t^8.19)/(g1^8*y) - t^8.52/(g1^42*y) + (g1^12*t^8.71)/y - t^8.74/(g1^10*y) - t^8.77/(g1^32*y) - (g1^22*t^8.97)/y - (t^3.55*y)/g1^2 - (t^4.65*y)/g1^6 - (t^5.74*y)/g1^10 - (t^6.03*y)/g1^22 - g1^10*t^6.26*y - (t^6.29*y)/g1^12 - (t^6.55*y)/g1^2 - (t^6.84*y)/g1^14 - (t^7.13*y)/g1^26 - g1^6*t^7.35*y - (t^7.39*y)/g1^16 - (t^7.65*y)/g1^6 + (t^7.68*y)/g1^28 + g1^4*t^7.9*y + (2*t^8.19*y)/g1^8 - (t^8.52*y)/g1^42 + g1^12*t^8.71*y - (t^8.74*y)/g1^10 - (t^8.77*y)/g1^32 - g1^22*t^8.97*y + (t^8.19*y^2)/g1^8 - (t^8.74*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 |
|---|---|---|---|---|---|---|---|---|
| 8815 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1^2q_1q_2$ | 1.1943 | 1.3477 | 0.8862 | [X:[1.6361], M:[1.0, 0.9097, 0.8194, 0.7278], q:[0.409, 0.4993], qb:[], phi:[0.1819]] | 2*t^2.18 + t^2.46 + 2*t^2.73 + t^3. + t^4.09 + t^4.36 + 3*t^4.37 + t^4.63 + 2*t^4.64 + 5*t^4.91 + t^4.92 + 3*t^5.18 + t^5.19 + 2*t^5.45 + 2*t^5.46 + t^5.73 - t^6. - t^3.55/y - t^4.64/y - (2*t^5.73)/y - t^6./y - t^3.55*y - t^4.64*y - 2*t^5.73*y - t^6.*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8476 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1^2$ | 1.1618 | 1.2914 | 0.8996 | [X:[1.623], M:[1.0, 0.9426], q:[0.4057, 0.4631], qb:[], phi:[0.1885]] | t^2.26 + t^2.61 + t^2.83 + t^3. + t^3.34 + t^3.74 + t^4.13 + t^4.3 + t^4.48 + t^4.52 + 2*t^4.87 + t^5.09 + t^5.21 + t^5.26 + t^5.43 + 2*t^5.61 + t^5.66 + t^5.95 - t^3.57/y - t^4.7/y - t^5.83/y - t^3.57*y - t^4.7*y - t^5.83*y | detail |