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 |
|---|---|---|---|---|---|---|---|---|---|
| 3986 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2\tilde{q}_2$ + $ M_8q_1\tilde{q}_2$ | 0.6765 | 0.8454 | 0.8002 | [X:[1.3496], M:[1.0516, 1.1003, 1.149, 0.9484, 0.6504, 0.851, 0.6991, 0.7478], q:[0.7751, 0.3739], qb:[0.5745, 0.4772], phi:[0.4499]] | [X:[[6]], M:[[-22], [-4], [14], [22], [-6], [-14], [12], [30]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_8$, $ M_6$, $ M_4$, $ M_1$, $ M_2$, $ M_3$, $ \phi_1q_2^2$, $ X_1$, $ M_7^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_7M_8$, $ M_8^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6M_7$, $ M_6M_8$, $ \phi_1\tilde{q}_1^2$, $ M_4M_7$, $ M_4M_8$, $ M_6^2$, $ M_1M_7$, $ M_4M_6$, $ M_2M_7$, $ M_1M_8$, $ M_3M_7$, $ M_2M_8$, $ M_4^2$, $ M_3M_8$, $ M_7\phi_1q_2^2$, $ M_8\phi_1q_2^2$, $ M_2M_6$ | . | -1 | t^2.1 + t^2.24 + t^2.55 + t^2.85 + t^3.15 + t^3.3 + t^3.45 + t^3.59 + t^4.05 + 2*t^4.19 + t^4.21 + t^4.34 + t^4.49 + t^4.5 + t^4.65 + 2*t^4.8 + t^4.94 + t^5.09 + t^5.11 + t^5.25 + 2*t^5.4 + 2*t^5.54 + 2*t^5.69 + t^5.84 + t^5.85 - t^6. + 2*t^6.15 + 3*t^6.29 + t^6.31 + 3*t^6.44 + t^6.46 + t^6.58 + t^6.6 + t^6.73 + 2*t^6.75 + t^6.77 + 3*t^6.89 + 4*t^7.04 + 2*t^7.19 + t^7.33 + 2*t^7.35 + t^7.37 + 3*t^7.5 + 4*t^7.64 + t^7.66 + 4*t^7.79 + 2*t^7.93 + t^8.08 + t^8.24 + 5*t^8.39 + t^8.41 + t^8.43 + 4*t^8.54 - t^8.55 + 3*t^8.68 + t^8.7 + t^8.72 + t^8.83 + t^8.97 + 4*t^8.99 - t^4.35/y - t^6.45/y - t^6.59/y + t^7.34/y + t^7.65/y + t^7.8/y + t^7.94/y + t^8.09/y + t^8.11/y + (2*t^8.25)/y + (3*t^8.4)/y + t^8.54/y + t^8.69/y + t^8.71/y + t^8.85/y - t^4.35*y - t^6.45*y - t^6.59*y + t^7.34*y + t^7.65*y + t^7.8*y + t^7.94*y + t^8.09*y + t^8.11*y + 2*t^8.25*y + 3*t^8.4*y + t^8.54*y + t^8.69*y + t^8.71*y + t^8.85*y | g1^12*t^2.1 + g1^30*t^2.24 + t^2.55/g1^14 + g1^22*t^2.85 + t^3.15/g1^22 + t^3.3/g1^4 + g1^14*t^3.45 + g1^32*t^3.59 + g1^6*t^4.05 + 2*g1^24*t^4.19 + t^4.21/g1^56 + g1^42*t^4.34 + g1^60*t^4.49 + t^4.5/g1^20 + t^4.65/g1^2 + 2*g1^16*t^4.8 + g1^34*t^4.94 + g1^52*t^5.09 + t^5.11/g1^28 + t^5.25/g1^10 + 2*g1^8*t^5.4 + 2*g1^26*t^5.54 + 2*g1^44*t^5.69 + g1^62*t^5.84 + t^5.85/g1^18 - t^6. + 2*g1^18*t^6.15 + 3*g1^36*t^6.29 + t^6.31/g1^44 + 3*g1^54*t^6.44 + t^6.46/g1^26 + g1^72*t^6.58 + t^6.6/g1^8 + g1^90*t^6.73 + 2*g1^10*t^6.75 + t^6.77/g1^70 + 3*g1^28*t^6.89 + 4*g1^46*t^7.04 + 2*g1^64*t^7.19 + g1^82*t^7.33 + 2*g1^2*t^7.35 + t^7.37/g1^78 + 3*g1^20*t^7.5 + 4*g1^38*t^7.64 + t^7.66/g1^42 + 4*g1^56*t^7.79 + 2*g1^74*t^7.93 + g1^92*t^8.08 + g1^30*t^8.24 + 5*g1^48*t^8.39 + t^8.41/g1^32 + t^8.43/g1^112 + 4*g1^66*t^8.54 - t^8.55/g1^14 + 3*g1^84*t^8.68 + g1^4*t^8.7 + t^8.72/g1^76 + g1^102*t^8.83 + g1^120*t^8.97 + 4*g1^40*t^8.99 - (g1^2*t^4.35)/y - (g1^14*t^6.45)/y - (g1^32*t^6.59)/y + (g1^42*t^7.34)/y + t^7.65/(g1^2*y) + (g1^16*t^7.8)/y + (g1^34*t^7.94)/y + (g1^52*t^8.09)/y + t^8.11/(g1^28*y) + (2*t^8.25)/(g1^10*y) + (3*g1^8*t^8.4)/y + (g1^26*t^8.54)/y + (g1^44*t^8.69)/y + t^8.71/(g1^36*y) + t^8.85/(g1^18*y) - g1^2*t^4.35*y - g1^14*t^6.45*y - g1^32*t^6.59*y + g1^42*t^7.34*y + (t^7.65*y)/g1^2 + g1^16*t^7.8*y + g1^34*t^7.94*y + g1^52*t^8.09*y + (t^8.11*y)/g1^28 + (2*t^8.25*y)/g1^10 + 3*g1^8*t^8.4*y + g1^26*t^8.54*y + g1^44*t^8.69*y + (t^8.71*y)/g1^36 + (t^8.85*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5513 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2\tilde{q}_2$ + $ M_8q_1\tilde{q}_2$ + $ M_9\phi_1q_2^2$ | 0.6935 | 0.8749 | 0.7927 | [X:[1.3536], M:[1.0367, 1.0976, 1.1585, 0.9633, 0.6464, 0.8415, 0.7073, 0.7681, 0.7806], q:[0.7744, 0.3841], qb:[0.5792, 0.4575], phi:[0.4512]] | t^2.12 + t^2.3 + t^2.34 + t^2.52 + t^2.89 + t^3.11 + t^3.29 + t^3.48 + t^4.06 + t^4.1 + 2*t^4.24 + t^4.43 + 2*t^4.46 + t^4.61 + 2*t^4.65 + t^4.68 + 2*t^4.83 + t^4.87 + t^5.01 + t^5.05 + t^5.19 + 2*t^5.23 + 2*t^5.41 + t^5.45 + 2*t^5.6 + t^5.63 + t^5.78 + 2*t^5.82 - t^6. - t^4.35/y - t^4.35*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1597 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.6577 | 0.8109 | 0.8111 | [X:[1.3529], M:[1.0392, 1.098, 1.1569, 0.9608, 0.6471, 0.8431, 0.7059], q:[0.7745, 0.3823], qb:[0.5784, 0.4608], phi:[0.451]] | t^2.12 + t^2.53 + t^2.88 + t^3.12 + t^3.29 + t^3.47 + t^3.65 + t^3.71 + t^4.06 + t^4.12 + 2*t^4.24 + t^4.47 + t^4.65 + t^4.82 + t^5. + t^5.06 + t^5.24 + t^5.41 + t^5.59 + t^5.76 + 2*t^5.82 - t^6. - t^4.35/y - t^4.35*y | detail |