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 |
|---|---|---|---|---|---|---|---|---|---|
| 46678 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ | 0.6414 | 0.7996 | 0.8022 | [X:[1.6177], M:[0.3823, 0.676, 1.1468, 0.8532, 0.7046], q:[0.8831, 0.7346], qb:[0.4409, 0.4122], phi:[0.3823]] | [X:[[0, 1]], M:[[0, -1], [0, -7], [0, -3], [0, 3], [-2, -4]], q:[[1, 4], [-1, -3]], qb:[[-1, 3], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_5$, $ \phi_1^2$, $ M_4$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_2M_4$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_4\phi_1^2$, $ X_1$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_3$, $ M_3M_5$, $ \phi_1q_2^2$, $ M_2q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_2\phi_1\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_2^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1^2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -1 | t^2.03 + t^2.11 + t^2.29 + t^2.56 + t^3.44 + t^3.53 + t^3.62 + t^3.71 + t^3.79 + t^4.06 + t^4.14 + t^4.23 + t^4.32 + t^4.41 + 2*t^4.59 + t^4.67 + 2*t^4.85 + t^5.12 + t^5.47 + 2*t^5.55 + t^5.64 + t^5.65 + 2*t^5.73 + 2*t^5.82 + t^5.91 - t^6. + t^6.08 + t^6.09 + t^6.17 + t^6.26 + t^6.34 + 2*t^6.35 + t^6.44 + t^6.52 + 2*t^6.62 + 2*t^6.7 + t^6.79 + 3*t^6.88 + 2*t^6.97 + t^7.05 + 2*t^7.15 + t^7.23 + t^7.24 + t^7.32 - t^7.33 + t^7.5 + 3*t^7.58 - t^7.59 + 2*t^7.67 + t^7.68 + t^7.75 + 2*t^7.76 + 3*t^7.85 + 2*t^7.93 + t^8.02 - t^8.03 + t^8.11 + 2*t^8.2 + t^8.28 - t^8.29 + t^8.37 + 2*t^8.38 + 2*t^8.46 + t^8.55 - 3*t^8.56 + 3*t^8.64 + t^8.65 + 2*t^8.73 - t^8.74 + 2*t^8.82 - t^8.83 + t^8.9 + 4*t^8.91 + 3*t^8.99 - t^4.15/y - t^6.17/y - t^6.26/y - t^6.44/y + t^7.14/y + t^7.32/y + t^7.41/y + t^7.59/y + t^7.67/y + (2*t^7.85)/y + t^8.03/y + t^8.12/y - t^8.2/y - t^8.29/y - t^8.37/y + t^8.55/y + t^8.64/y + t^8.65/y + (2*t^8.73)/y + (3*t^8.82)/y + (2*t^8.91)/y - t^4.15*y - t^6.17*y - t^6.26*y - t^6.44*y + t^7.14*y + t^7.32*y + t^7.41*y + t^7.59*y + t^7.67*y + 2*t^7.85*y + t^8.03*y + t^8.12*y - t^8.2*y - t^8.29*y - t^8.37*y + t^8.55*y + t^8.64*y + t^8.65*y + 2*t^8.73*y + 3*t^8.82*y + 2*t^8.91*y | t^2.03/g2^7 + t^2.11/(g1^2*g2^4) + t^2.29/g2^2 + g2^3*t^2.56 + t^3.44/g2^3 + t^3.53/g1^2 + (g1^2*t^3.62)/g2 + g2^2*t^3.71 + (g2^5*t^3.79)/g1^2 + t^4.06/g2^14 + t^4.14/(g1^2*g2^11) + t^4.23/(g1^4*g2^8) + t^4.32/g2^9 + t^4.41/(g1^2*g2^6) + (2*t^4.59)/g2^4 + t^4.67/(g1^2*g2) + 2*g2*t^4.85 + g2^6*t^5.12 + t^5.47/g2^10 + (2*t^5.55)/(g1^2*g2^7) + t^5.64/(g1^4*g2^4) + (g1^2*t^5.65)/g2^8 + (2*t^5.73)/g2^5 + (2*t^5.82)/(g1^2*g2^2) + (g2*t^5.91)/g1^4 - t^6. + t^6.08/g2^21 + (g2^3*t^6.09)/g1^2 + t^6.17/(g1^2*g2^18) + t^6.26/(g1^4*g2^15) + t^6.34/(g1^6*g2^12) + t^6.35/g2^16 + (g2^8*t^6.35)/g1^2 + t^6.44/(g1^2*g2^13) + t^6.52/(g1^4*g2^10) + (2*t^6.62)/g2^11 + (2*t^6.7)/(g1^2*g2^8) + t^6.79/(g1^4*g2^5) + (3*t^6.88)/g2^6 + (2*t^6.97)/(g1^2*g2^3) + t^7.05/g1^4 + (2*t^7.15)/g2 + (g2^2*t^7.23)/g1^2 + (g1^4*t^7.24)/g2^2 + (g2^5*t^7.32)/g1^4 - g1^2*g2*t^7.33 + t^7.5/g2^17 + (2*t^7.58)/(g1^2*g2^14) + (g2^10*t^7.58)/g1^4 - g1^2*g2^6*t^7.59 + (2*t^7.67)/(g1^4*g2^11) + (g1^2*t^7.68)/g2^15 + t^7.75/(g1^6*g2^8) + (2*t^7.76)/g2^12 + (3*t^7.85)/(g1^2*g2^9) + (2*t^7.93)/(g1^4*g2^6) + t^8.02/(g1^6*g2^3) - t^8.03/g2^7 + t^8.11/g2^28 + t^8.2/(g1^2*g2^25) + t^8.2/(g1^4*g2) + t^8.28/(g1^4*g2^22) - t^8.29/g2^2 + t^8.37/(g1^6*g2^19) + t^8.38/g2^23 + (g2*t^8.38)/g1^2 + t^8.46/(g1^2*g2^20) + t^8.46/(g1^8*g2^16) - g1^2*t^8.47 + (g2^4*t^8.47)/g1^4 + t^8.55/(g1^4*g2^17) - 3*g2^3*t^8.56 + (2*t^8.64)/g2^18 + t^8.64/(g1^6*g2^14) + (g2^6*t^8.65)/g1^2 + (2*t^8.73)/(g1^2*g2^15) - g1^2*g2^5*t^8.74 + (2*t^8.82)/(g1^4*g2^12) - g2^8*t^8.83 + t^8.9/(g1^6*g2^9) + (3*t^8.91)/g2^13 + (g2^11*t^8.91)/g1^2 + (3*t^8.99)/(g1^2*g2^10) - t^4.15/(g2*y) - t^6.17/(g2^8*y) - t^6.26/(g1^2*g2^5*y) - t^6.44/(g2^3*y) + t^7.14/(g1^2*g2^11*y) + t^7.32/(g2^9*y) + t^7.41/(g1^2*g2^6*y) + t^7.59/(g2^4*y) + t^7.67/(g1^2*g2*y) + (2*g2*t^7.85)/y + (g1^2*g2^3*t^8.03)/y + (g2^6*t^8.12)/y - t^8.2/(g2^15*y) - t^8.29/(g1^2*g2^12*y) - t^8.37/(g1^4*g2^9*y) + t^8.55/(g1^2*g2^7*y) + t^8.64/(g1^4*g2^4*y) + (g1^2*t^8.65)/(g2^8*y) + (2*t^8.73)/(g2^5*y) + (3*t^8.82)/(g1^2*g2^2*y) + (g1^2*t^8.91)/(g2^3*y) + (g2*t^8.91)/(g1^4*y) - (t^4.15*y)/g2 - (t^6.17*y)/g2^8 - (t^6.26*y)/(g1^2*g2^5) - (t^6.44*y)/g2^3 + (t^7.14*y)/(g1^2*g2^11) + (t^7.32*y)/g2^9 + (t^7.41*y)/(g1^2*g2^6) + (t^7.59*y)/g2^4 + (t^7.67*y)/(g1^2*g2) + 2*g2*t^7.85*y + g1^2*g2^3*t^8.03*y + g2^6*t^8.12*y - (t^8.2*y)/g2^15 - (t^8.29*y)/(g1^2*g2^12) - (t^8.37*y)/(g1^4*g2^9) + (t^8.55*y)/(g1^2*g2^7) + (t^8.64*y)/(g1^4*g2^4) + (g1^2*t^8.65*y)/g2^8 + (2*t^8.73*y)/g2^5 + (3*t^8.82*y)/(g1^2*g2^2) + (g1^2*t^8.91*y)/g2^3 + (g2*t^8.91*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 48117 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ | 0.563 | 0.6963 | 0.8086 | [X:[1.5736], M:[0.4264, 0.9848, 1.2792, 0.7208, 1.0152], q:[0.6396, 0.934], qb:[0.3756, 0.3452], phi:[0.4264]] | t^2.16 + t^2.56 + t^2.95 + t^3.05 + t^3.35 + t^3.44 + t^3.53 + t^3.84 + t^3.93 + t^4.32 + 2*t^4.72 + 2*t^5.12 + t^5.21 + t^5.51 + t^5.6 + t^5.7 + t^5.91 - t^4.28/y - t^4.28*y | detail | |
| 47265 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ + $ M_3M_6$ | 0.6546 | 0.8215 | 0.7969 | [X:[1.6145], M:[0.3855, 0.6986, 1.1566, 0.8434, 0.7153, 0.8434], q:[0.8713, 0.7432], qb:[0.4301, 0.4134], phi:[0.3855]] | t^2.1 + t^2.15 + t^2.31 + 2*t^2.53 + t^3.52 + t^3.64 + t^3.69 + t^3.74 + t^4.19 + t^4.24 + t^4.29 + t^4.41 + t^4.46 + 3*t^4.63 + 2*t^4.68 + 3*t^4.84 + 3*t^5.06 + t^5.62 + t^5.67 + t^5.73 + t^5.78 + 2*t^5.83 + t^5.88 - 2*t^6. - t^4.16/y - t^4.16*y | detail | |
| 48231 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6412 | 0.7986 | 0.8029 | [X:[1.6182], M:[0.3818, 0.6726, 1.1454, 0.8546, 0.7181], q:[0.8773, 0.7409], qb:[0.45, 0.4045], phi:[0.3818]] | t^2.02 + t^2.15 + t^2.29 + t^2.56 + t^3.44 + 2*t^3.57 + t^3.71 + t^3.85 + t^4.04 + t^4.17 + 2*t^4.31 + t^4.45 + 2*t^4.58 + t^4.72 + 2*t^4.85 + t^5.13 + t^5.45 + 3*t^5.59 + 3*t^5.73 + 2*t^5.86 - t^4.15/y - t^4.15*y | detail | |
| 48210 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.6591 | 0.8332 | 0.7911 | [X:[1.6165], M:[0.3835, 0.6843, 1.1504, 0.8496, 0.6825, 0.7651], q:[0.8918, 0.7247], qb:[0.4239, 0.4257], phi:[0.3835]] | 2*t^2.05 + 2*t^2.3 + t^2.55 + 2*t^3.45 + t^3.69 + t^3.7 + t^4.09 + t^4.1 + t^4.11 + t^4.34 + 3*t^4.35 + t^4.59 + 4*t^4.6 + t^4.84 + 2*t^4.85 + t^5.1 + t^5.49 + 3*t^5.5 + 2*t^5.74 + 4*t^5.75 + 3*t^5.99 - t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46187 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.6212 | 0.7607 | 0.8166 | [X:[1.6162], M:[0.3838, 0.6865, 1.1513, 0.8487], q:[0.8689, 0.7473], qb:[0.4446, 0.4041], phi:[0.3838]] | t^2.06 + t^2.3 + t^2.55 + t^3.45 + 2*t^3.58 + t^3.7 + 2*t^3.82 + t^4.12 + t^4.36 + 2*t^4.61 + 2*t^4.85 + t^5.09 + t^5.51 + 2*t^5.64 + t^5.76 + 2*t^5.88 - t^6. - t^4.15/y - t^4.15*y | detail |