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 |
|---|---|---|---|---|---|---|---|---|---|
| 1356 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6571 | 0.8278 | 0.7938 | [X:[1.5587], M:[0.4413, 1.1862, 0.7794, 0.8826, 0.7794, 0.6761], q:[0.7966, 0.7622], qb:[0.4585, 0.3553], phi:[0.4069]] | [X:[[12]], M:[[-12], [4], [6], [-24], [6], [36]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ M_5$, $ \phi_1^2$, $ M_4$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_2$, $ q_1\tilde{q}_1$, $ M_6^2$, $ M_3M_6$, $ M_5M_6$, $ M_6\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ M_6q_2\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_2M_6$, $ M_3q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_6q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ M_2M_5$, $ \phi_1q_1q_2$, $ \phi_1^2q_1\tilde{q}_2$ | . | -2 | t^2.03 + 2*t^2.34 + t^2.44 + t^2.65 + t^3.35 + t^3.46 + t^3.56 + t^3.77 + t^4.06 + 2*t^4.37 + t^4.47 + t^4.57 + 5*t^4.68 + t^4.78 + 2*t^4.88 + 2*t^4.99 + t^5.3 + t^5.38 + t^5.48 + t^5.59 + t^5.69 + 5*t^5.79 + 2*t^5.9 - 2*t^6. + t^6.09 + 2*t^6.1 + t^6.21 - 2*t^6.31 + 2*t^6.39 + t^6.41 + t^6.5 + t^6.6 + 6*t^6.7 + 2*t^6.81 + 3*t^6.91 + 8*t^7.01 + t^7.12 + t^7.22 + 5*t^7.32 + t^7.41 - t^7.43 + t^7.51 + t^7.62 + 2*t^7.63 + t^7.72 + 5*t^7.82 + 3*t^7.93 + t^7.94 + t^8.11 + 7*t^8.13 + 4*t^8.23 - 7*t^8.34 + 2*t^8.42 + 3*t^8.44 + t^8.53 - t^8.54 + t^8.63 - 6*t^8.65 + 6*t^8.73 + t^8.75 + 2*t^8.84 + 3*t^8.94 - 2*t^8.96 - t^4.22/y - t^6.25/y - (2*t^6.56)/y - t^6.87/y + (2*t^7.37)/y + t^7.47/y + t^7.57/y + (2*t^7.68)/y + (2*t^7.78)/y + (2*t^7.88)/y + (2*t^7.99)/y + t^8.09/y + t^8.19/y - t^8.28/y + t^8.38/y + t^8.48/y - t^8.59/y + (2*t^8.69)/y + (4*t^8.79)/y - t^8.9/y - t^4.22*y - t^6.25*y - 2*t^6.56*y - t^6.87*y + 2*t^7.37*y + t^7.47*y + t^7.57*y + 2*t^7.68*y + 2*t^7.78*y + 2*t^7.88*y + 2*t^7.99*y + t^8.09*y + t^8.19*y - t^8.28*y + t^8.38*y + t^8.48*y - t^8.59*y + 2*t^8.69*y + 4*t^8.79*y - t^8.9*y | g1^36*t^2.03 + 2*g1^6*t^2.34 + t^2.44/g1^4 + t^2.65/g1^24 + g1^24*t^3.35 + g1^14*t^3.46 + g1^4*t^3.56 + t^3.77/g1^16 + g1^72*t^4.06 + 2*g1^42*t^4.37 + g1^32*t^4.47 + g1^22*t^4.57 + 5*g1^12*t^4.68 + g1^2*t^4.78 + (2*t^4.88)/g1^8 + (2*t^4.99)/g1^18 + t^5.3/g1^48 + g1^60*t^5.38 + g1^50*t^5.48 + g1^40*t^5.59 + g1^30*t^5.69 + 5*g1^20*t^5.79 + 2*g1^10*t^5.9 - 2*t^6. + g1^108*t^6.09 + (2*t^6.1)/g1^10 + t^6.21/g1^20 - (2*t^6.31)/g1^30 + 2*g1^78*t^6.39 + t^6.41/g1^40 + g1^68*t^6.5 + g1^58*t^6.6 + 6*g1^48*t^6.7 + 2*g1^38*t^6.81 + 3*g1^28*t^6.91 + 8*g1^18*t^7.01 + g1^8*t^7.12 + t^7.22/g1^2 + (5*t^7.32)/g1^12 + g1^96*t^7.41 - t^7.43/g1^22 + g1^86*t^7.51 + g1^76*t^7.62 + (2*t^7.63)/g1^42 + g1^66*t^7.72 + 5*g1^56*t^7.82 + 3*g1^46*t^7.93 + t^7.94/g1^72 + g1^144*t^8.11 + 7*g1^26*t^8.13 + 4*g1^16*t^8.23 - 7*g1^6*t^8.34 + 2*g1^114*t^8.42 + (3*t^8.44)/g1^4 + g1^104*t^8.53 - t^8.54/g1^14 + g1^94*t^8.63 - (6*t^8.65)/g1^24 + 6*g1^84*t^8.73 + t^8.75/g1^34 + 2*g1^74*t^8.84 + 3*g1^64*t^8.94 - (2*t^8.96)/g1^54 - t^4.22/(g1^2*y) - (g1^34*t^6.25)/y - (2*g1^4*t^6.56)/y - t^6.87/(g1^26*y) + (2*g1^42*t^7.37)/y + (g1^32*t^7.47)/y + (g1^22*t^7.57)/y + (2*g1^12*t^7.68)/y + (2*g1^2*t^7.78)/y + (2*t^7.88)/(g1^8*y) + (2*t^7.99)/(g1^18*y) + t^8.09/(g1^28*y) + t^8.19/(g1^38*y) - (g1^70*t^8.28)/y + (g1^60*t^8.38)/y + (g1^50*t^8.48)/y - (g1^40*t^8.59)/y + (2*g1^30*t^8.69)/y + (4*g1^20*t^8.79)/y - (g1^10*t^8.9)/y - (t^4.22*y)/g1^2 - g1^34*t^6.25*y - 2*g1^4*t^6.56*y - (t^6.87*y)/g1^26 + 2*g1^42*t^7.37*y + g1^32*t^7.47*y + g1^22*t^7.57*y + 2*g1^12*t^7.68*y + 2*g1^2*t^7.78*y + (2*t^7.88*y)/g1^8 + (2*t^7.99*y)/g1^18 + (t^8.09*y)/g1^28 + (t^8.19*y)/g1^38 - g1^70*t^8.28*y + g1^60*t^8.38*y + g1^50*t^8.48*y - g1^40*t^8.59*y + 2*g1^30*t^8.69*y + 4*g1^20*t^8.79*y - g1^10*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 2411 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2M_7$ | 0.6728 | 0.8548 | 0.7871 | [X:[1.5604], M:[0.4396, 1.1868, 0.7802, 0.8792, 0.7802, 0.6812, 0.8132], q:[0.7967, 0.7637], qb:[0.4561, 0.3571], phi:[0.4066]] | t^2.04 + 2*t^2.34 + 2*t^2.44 + t^2.64 + t^3.36 + t^3.46 + t^3.76 + t^4.09 + 2*t^4.38 + 2*t^4.48 + t^4.58 + 5*t^4.68 + 3*t^4.78 + 4*t^4.88 + 2*t^4.98 + t^5.08 + t^5.28 + t^5.41 + t^5.5 + t^5.7 + 6*t^5.8 + t^5.9 - 3*t^6. - t^4.22/y - t^4.22*y | detail | |
| 2410 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ | 0.6706 | 0.85 | 0.789 | [X:[1.5653], M:[0.4347, 1.1884, 0.7827, 0.8693, 0.7827, 0.696, 0.8405], q:[0.7971, 0.7682], qb:[0.4491, 0.3624], phi:[0.4058]] | t^2.09 + 2*t^2.35 + t^2.43 + t^2.52 + t^2.61 + t^3.39 + t^3.57 + t^3.74 + t^4.18 + 2*t^4.44 + t^4.52 + 2*t^4.61 + 5*t^4.7 + t^4.78 + 4*t^4.87 + 3*t^4.96 + t^5.04 + t^5.13 + t^5.22 + t^5.48 + t^5.65 + t^5.74 + 3*t^5.83 + 2*t^5.91 - 2*t^6. - t^4.22/y - t^4.22*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 |
|---|---|---|---|---|---|---|---|---|---|
| 863 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6363 | 0.7867 | 0.8088 | [X:[1.5607], M:[0.4393, 1.1869, 0.7803, 0.8786, 0.7803], q:[0.7967, 0.764], qb:[0.4557, 0.3574], phi:[0.4066]] | 2*t^2.34 + t^2.44 + t^2.64 + t^3.36 + t^3.46 + t^3.56 + t^3.76 + t^3.95 + t^4.58 + 4*t^4.68 + t^4.78 + 2*t^4.88 + 2*t^4.98 + t^5.27 + t^5.71 + 4*t^5.8 + 2*t^5.9 - 2*t^6. - t^4.22/y - t^4.22*y | detail |