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 |
|---|---|---|---|---|---|---|---|---|---|
| 2843 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3X_1$ | 0.6572 | 0.8255 | 0.7962 | [X:[1.3361], M:[0.7369, 0.7854, 0.6639, 0.8583, 1.1417, 0.6882], q:[0.8704, 0.3927], qb:[0.4656, 0.749], phi:[0.3806]] | [X:[[0, 7]], M:[[2, 2], [-2, -6], [0, -7], [0, 3], [0, -3], [-2, -11]], q:[[-1, 1], [-1, -3]], qb:[[1, 6], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_4$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ M_6^2$, $ M_1M_6$, $ M_6\phi_1^2$, $ M_2M_6$, $ M_1^2$, $ M_1\phi_1^2$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_6$, $ M_2\phi_1^2$, $ M_2^2$, $ M_1M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2M_4$, $ \phi_1q_1q_2$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_5M_6$, $ M_6\phi_1q_2^2$, $ M_1M_5$, $ \phi_1\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_2M_5$, $ \phi_1^3q_2^2$, $ M_6\phi_1q_2\tilde{q}_1$, $ M_2\phi_1q_2^2$ | $\phi_1^3q_2\tilde{q}_1$ | -1 | t^2.06 + t^2.21 + t^2.28 + t^2.36 + t^2.57 + t^3.43 + t^3.5 + t^3.72 + t^4.01 + t^4.13 + t^4.28 + t^4.35 + 2*t^4.42 + t^4.49 + 2*t^4.57 + 2*t^4.64 + t^4.71 + t^4.79 + 2*t^4.86 + t^4.93 + t^5.15 + t^5.49 + t^5.56 + t^5.64 + t^5.71 + 2*t^5.78 + t^5.85 - t^6. + 2*t^6.07 + t^6.19 + t^6.29 + t^6.34 + t^6.36 + t^6.41 + 2*t^6.49 + t^6.56 + t^6.58 + 3*t^6.63 + 3*t^6.7 + 3*t^6.78 + 3*t^6.85 + 4*t^6.92 + 4*t^7. + 2*t^7.07 + t^7.14 + 2*t^7.21 + t^7.29 - t^7.36 + t^7.51 + t^7.55 + t^7.63 - t^7.65 + t^7.7 + t^7.72 + t^7.77 + 3*t^7.85 + 2*t^7.92 + t^7.99 + t^8.02 + 3*t^8.14 - t^8.21 + t^8.26 - t^8.28 - t^8.36 + t^8.4 + 2*t^8.43 + t^8.48 - 2*t^8.5 + 2*t^8.55 - 2*t^8.57 + t^8.62 + t^8.65 + 3*t^8.7 + t^8.72 + 3*t^8.77 - t^8.79 + 4*t^8.84 + t^8.87 + 3*t^8.91 + t^8.92 + t^8.94 + 6*t^8.99 - t^4.14/y - t^6.21/y - t^6.35/y - t^6.43/y - t^6.5/y + t^7.28/y + t^7.35/y + t^7.42/y + t^7.49/y + t^7.57/y + (2*t^7.64)/y + (2*t^7.79)/y + (2*t^7.86)/y + (2*t^7.93)/y + t^8.08/y - t^8.27/y - t^8.42/y - t^8.56/y + (2*t^8.78)/y + t^8.93/y - t^4.14*y - t^6.21*y - t^6.35*y - t^6.43*y - t^6.5*y + t^7.28*y + t^7.35*y + t^7.42*y + t^7.49*y + t^7.57*y + 2*t^7.64*y + 2*t^7.79*y + 2*t^7.86*y + 2*t^7.93*y + t^8.08*y - t^8.27*y - t^8.42*y - t^8.56*y + 2*t^8.78*y + t^8.93*y | t^2.06/(g1^2*g2^11) + g1^2*g2^2*t^2.21 + t^2.28/g2^2 + t^2.36/(g1^2*g2^6) + g2^3*t^2.57 + t^3.43/g2^3 + t^3.5/(g1^2*g2^7) + g2^2*t^3.72 + g2^7*t^4.01 + t^4.13/(g1^4*g2^22) + t^4.28/g2^9 + t^4.35/(g1^2*g2^13) + t^4.42/(g1^4*g2^17) + g1^4*g2^4*t^4.42 + g1^2*t^4.49 + (2*t^4.57)/g2^4 + (2*t^4.64)/(g1^2*g2^8) + t^4.71/(g1^4*g2^12) + g1^2*g2^5*t^4.79 + 2*g2*t^4.86 + t^4.93/(g1^2*g2^3) + g2^6*t^5.15 + t^5.49/(g1^2*g2^14) + t^5.56/(g1^4*g2^18) + (g1^2*t^5.64)/g2 + t^5.71/g2^5 + (2*t^5.78)/(g1^2*g2^9) + t^5.85/(g1^4*g2^13) - t^6. + (2*t^6.07)/(g1^2*g2^4) + t^6.19/(g1^6*g2^33) + g2^5*t^6.29 + t^6.34/(g1^2*g2^20) + (g2*t^6.36)/g1^2 + t^6.41/(g1^4*g2^24) + t^6.49/(g1^6*g2^28) + (g1^2*t^6.49)/g2^7 + t^6.56/g2^11 + g2^10*t^6.58 + (2*t^6.63)/(g1^2*g2^15) + g1^6*g2^6*t^6.63 + (2*t^6.7)/(g1^4*g2^19) + g1^4*g2^2*t^6.7 + t^6.78/(g1^6*g2^23) + (2*g1^2*t^6.78)/g2^2 + (3*t^6.85)/g2^6 + (4*t^6.92)/(g1^2*g2^10) + (3*t^7.)/(g1^4*g2^14) + g1^4*g2^7*t^7. + t^7.07/(g1^6*g2^18) + g1^2*g2^3*t^7.07 + t^7.14/g2 + (2*t^7.21)/(g1^2*g2^5) + t^7.29/(g1^4*g2^9) - g1^2*g2^8*t^7.36 + t^7.51/g1^2 + t^7.55/(g1^4*g2^25) + t^7.63/(g1^6*g2^29) - g1^2*g2^13*t^7.65 + t^7.7/g2^12 + g2^9*t^7.72 + t^7.77/(g1^2*g2^16) + (2*t^7.85)/(g1^4*g2^20) + g1^4*g2*t^7.85 + t^7.92/(g1^6*g2^24) + (g1^2*t^7.92)/g2^3 + t^7.99/g2^7 + g2^14*t^8.02 + (3*t^8.14)/(g1^4*g2^15) + t^8.21/(g1^6*g2^19) - 2*g1^2*g2^2*t^8.21 + t^8.26/(g1^8*g2^44) - t^8.28/g2^2 - t^8.36/(g1^2*g2^6) + t^8.4/(g1^4*g2^31) + (2*t^8.43)/(g1^4*g2^10) + t^8.48/(g1^6*g2^35) - 2*g1^2*g2^7*t^8.5 + t^8.55/(g1^8*g2^39) + t^8.55/g2^18 - 2*g2^3*t^8.57 + t^8.62/(g1^2*g2^22) + t^8.65/(g1^2*g2) + (2*t^8.7)/(g1^4*g2^26) + (g1^4*t^8.7)/g2^5 + t^8.72/(g1^4*g2^5) + (2*t^8.77)/(g1^6*g2^30) + (g1^2*t^8.77)/g2^9 - g1^2*g2^12*t^8.79 + t^8.84/(g1^8*g2^34) + (2*t^8.84)/g2^13 + g1^8*g2^8*t^8.84 + g2^8*t^8.87 + (3*t^8.91)/(g1^2*g2^17) + g1^6*g2^4*t^8.92 + (g2^4*t^8.94)/g1^2 + 2*g1^4*t^8.99 + (4*t^8.99)/(g1^4*g2^21) - t^4.14/(g2*y) - t^6.21/(g1^2*g2^12*y) - (g1^2*g2*t^6.35)/y - t^6.43/(g2^3*y) - t^6.5/(g1^2*g2^7*y) + t^7.28/(g2^9*y) + t^7.35/(g1^2*g2^13*y) + t^7.42/(g1^4*g2^17*y) + (g1^2*t^7.49)/y + t^7.57/(g2^4*y) + (2*t^7.64)/(g1^2*g2^8*y) + (2*g1^2*g2^5*t^7.79)/y + (2*g2*t^7.86)/y + (2*t^7.93)/(g1^2*g2^3*y) + (g1^2*g2^10*t^8.08)/y - t^8.27/(g1^4*g2^23*y) - t^8.42/(g2^10*y) - (g1^4*g2^3*t^8.56)/y + (2*t^8.78)/(g1^2*g2^9*y) + (g1^2*g2^4*t^8.93)/y - (t^4.14*y)/g2 - (t^6.21*y)/(g1^2*g2^12) - g1^2*g2*t^6.35*y - (t^6.43*y)/g2^3 - (t^6.5*y)/(g1^2*g2^7) + (t^7.28*y)/g2^9 + (t^7.35*y)/(g1^2*g2^13) + (t^7.42*y)/(g1^4*g2^17) + g1^2*t^7.49*y + (t^7.57*y)/g2^4 + (2*t^7.64*y)/(g1^2*g2^8) + 2*g1^2*g2^5*t^7.79*y + 2*g2*t^7.86*y + (2*t^7.93*y)/(g1^2*g2^3) + g1^2*g2^10*t^8.08*y - (t^8.27*y)/(g1^4*g2^23) - (t^8.42*y)/g2^10 - g1^4*g2^3*t^8.56*y + (2*t^8.78*y)/(g1^2*g2^9) + g1^2*g2^4*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 3399 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_1M_7$ | 0.6384 | 0.793 | 0.805 | [X:[1.3048], M:[0.7772, 0.7629, 0.6952, 0.8449, 1.1551, 0.688, 1.2228], q:[0.8413, 0.3814], qb:[0.4635, 0.7736], phi:[0.385]] | t^2.06 + t^2.29 + t^2.31 + t^2.53 + t^3.44 + t^3.47 + t^3.67 + t^3.69 + t^3.91 + t^4.13 + t^4.35 + t^4.37 + t^4.58 + 2*t^4.6 + t^4.62 + t^4.82 + 2*t^4.84 + t^5.07 + t^5.51 + t^5.53 + 2*t^5.73 + 2*t^5.75 + t^5.96 + 3*t^5.98 - t^6. - t^4.16/y - t^4.16*y | detail | |
| 3397 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_2M_6$ + $ M_1X_2$ | 0.57 | 0.6947 | 0.8205 | [X:[1.2065, 1.406], M:[0.594, 1.0023, 0.7935, 0.8028, 1.1972, 0.9977], q:[0.9049, 0.5012], qb:[0.3016, 0.6961], phi:[0.3991]] | t^2.39 + t^2.41 + t^2.99 + t^3.01 + t^3.59 + t^3.61 + t^3.62 + t^4.2 + t^4.22 + t^4.79 + 2*t^4.8 + t^4.82 + t^5.4 + t^5.42 + t^5.99 - t^4.2/y - t^4.2*y | detail | |
| 3400 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_5M_7$ | 0.6702 | 0.8472 | 0.7911 | [X:[1.307], M:[0.7557, 0.7831, 0.693, 0.8459, 1.1541, 0.7067, 0.8459], q:[0.8527, 0.3916], qb:[0.4543, 0.7626], phi:[0.3847]] | t^2.12 + t^2.27 + t^2.31 + t^2.35 + 2*t^2.54 + t^3.5 + t^3.69 + t^3.92 + t^4.24 + t^4.39 + t^4.43 + t^4.47 + t^4.53 + t^4.58 + 2*t^4.62 + 3*t^4.66 + t^4.7 + 2*t^4.8 + 3*t^4.85 + 2*t^4.89 + 3*t^5.08 + t^5.62 + t^5.81 + t^5.85 - 2*t^6. - t^4.15/y - t^4.15*y | detail | |
| 3398 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_5\phi_1^2$ | 0.6473 | 0.8113 | 0.7978 | [X:[1.2], M:[0.8252, 0.7748, 0.8, 0.8, 1.2, 0.7748], q:[0.7874, 0.3874], qb:[0.4126, 0.8126], phi:[0.4]] | 2*t^2.32 + 2*t^2.4 + t^2.48 + t^3.52 + 3*t^3.6 + 3*t^4.65 + 4*t^4.72 + 6*t^4.8 + 2*t^4.88 + t^4.95 + 2*t^5.85 + 6*t^5.92 + 2*t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1824 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ | 0.6574 | 0.8268 | 0.7952 | [X:[], M:[0.7351, 0.7916, 0.6718, 0.8549, 1.1451], q:[0.8691, 0.3958], qb:[0.4591, 0.7492], phi:[0.3817]] | t^2.02 + t^2.21 + t^2.29 + t^2.37 + t^2.56 + t^3.44 + t^3.52 + t^3.71 + t^3.9 + t^4.03 + t^4.22 + t^4.31 + t^4.39 + t^4.41 + t^4.5 + 3*t^4.58 + t^4.67 + t^4.75 + t^4.77 + 2*t^4.85 + t^4.94 + t^5.13 + t^5.45 + t^5.54 + t^5.64 + 2*t^5.73 + t^5.81 + t^5.89 + t^5.92 - t^6. - t^4.15/y - t^4.15*y | detail |