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 |
|---|---|---|---|---|---|---|---|---|---|
| 48138 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_1M_6$ | 0.6702 | 0.8472 | 0.7911 | [X:[], M:[1.1541, 0.7557, 0.8459, 0.7831, 0.7067, 0.8459], q:[0.3916, 0.4543], qb:[0.8527, 0.7626], phi:[0.3847]] | [X:[], M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [-11, -13], [3, 3]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_2$, $ \phi_1^2$, $ M_4$, $ M_3$, $ M_6$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ q_2\tilde{q}_1$, $ M_5^2$, $ M_2M_5$, $ M_5\phi_1^2$, $ M_4M_5$, $ M_2^2$, $ M_2\phi_1^2$, $ M_2M_4$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_5$, $ M_5M_6$, $ M_4\phi_1^2$, $ M_4^2$, $ M_2M_3$, $ M_2M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ M_5\phi_1q_1q_2$, $ M_4\phi_1q_1^2$ | $\phi_1^3q_1q_2$ | 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. + 3*t^6.04 + 2*t^6.23 + t^6.27 + t^6.36 + 2*t^6.46 + t^6.51 + t^6.55 + t^6.59 + t^6.65 + t^6.7 + 2*t^6.74 + 3*t^6.78 + t^6.8 + t^6.82 + t^6.84 + 2*t^6.88 + 3*t^6.92 + 4*t^6.97 + 4*t^7.01 + t^7.05 + 2*t^7.07 + 2*t^7.11 + 2*t^7.15 + 5*t^7.2 + 2*t^7.24 + t^7.34 + 2*t^7.38 + 3*t^7.42 - t^7.57 + 4*t^7.61 + t^7.74 + t^7.84 + t^7.93 + t^7.97 - t^8.08 - 2*t^8.12 + 3*t^8.16 + t^8.2 - 3*t^8.27 - 3*t^8.31 - t^8.35 + 3*t^8.39 + t^8.48 - 2*t^8.5 - 5*t^8.54 + 4*t^8.58 + t^8.62 + t^8.63 + t^8.67 + t^8.71 - t^8.73 + 4*t^8.77 + 2*t^8.81 + t^8.82 + 2*t^8.86 + 3*t^8.9 + t^8.92 + t^8.94 + t^8.96 - t^4.15/y - t^6.27/y - t^6.42/y - t^6.46/y - t^6.5/y - t^6.69/y + t^7.39/y + t^7.43/y + t^7.47/y + t^7.58/y + (2*t^7.62)/y + (3*t^7.66)/y + (3*t^7.8)/y + (3*t^7.85)/y + (3*t^7.89)/y + t^8.03/y + t^8.08/y - t^8.39/y - t^8.54/y - t^8.58/y - t^8.69/y - t^8.73/y - t^8.77/y - t^4.15*y - t^6.27*y - t^6.42*y - t^6.46*y - t^6.5*y - t^6.69*y + t^7.39*y + t^7.43*y + t^7.47*y + t^7.58*y + 2*t^7.62*y + 3*t^7.66*y + 3*t^7.8*y + 3*t^7.85*y + 3*t^7.89*y + t^8.03*y + t^8.08*y - t^8.39*y - t^8.54*y - t^8.58*y - t^8.69*y - t^8.73*y - t^8.77*y | t^2.12/(g1^11*g2^13) + g1^2*g2^4*t^2.27 + t^2.31/(g1^2*g2^2) + t^2.35/(g1^6*g2^8) + 2*g1^3*g2^3*t^2.54 + t^3.5/(g1^7*g2^9) + g1^2*g2^2*t^3.69 + g1^7*g2^7*t^3.92 + t^4.24/(g1^22*g2^26) + t^4.39/(g1^9*g2^9) + t^4.43/(g1^13*g2^15) + t^4.47/(g1^17*g2^21) + g1^4*g2^8*t^4.53 + g2^2*t^4.58 + (2*t^4.62)/(g1^4*g2^4) + (3*t^4.66)/(g1^8*g2^10) + t^4.7/(g1^12*g2^16) + 2*g1^5*g2^7*t^4.8 + 3*g1*g2*t^4.85 + (2*t^4.89)/(g1^3*g2^5) + 3*g1^6*g2^6*t^5.08 + t^5.62/(g1^18*g2^22) + t^5.81/(g1^9*g2^11) + t^5.85/(g1^13*g2^17) - 2*t^6. + (3*t^6.04)/(g1^4*g2^6) + 2*g1^5*g2^5*t^6.23 + (g1*t^6.27)/g2 + t^6.36/(g1^33*g2^39) + 2*g1^10*g2^10*t^6.46 + t^6.51/(g1^20*g2^22) + t^6.55/(g1^24*g2^28) + t^6.59/(g1^28*g2^34) + t^6.65/(g1^7*g2^5) + t^6.7/(g1^11*g2^11) + (2*t^6.74)/(g1^15*g2^17) + (3*t^6.78)/(g1^19*g2^23) + g1^6*g2^12*t^6.8 + t^6.82/(g1^23*g2^29) + g1^2*g2^6*t^6.84 + (2*t^6.88)/g1^2 + (3*t^6.92)/(g1^6*g2^6) + (4*t^6.97)/(g1^10*g2^12) + (4*t^7.01)/(g1^14*g2^18) + t^7.05/(g1^18*g2^24) + 2*g1^7*g2^11*t^7.07 + 2*g1^3*g2^5*t^7.11 + (2*t^7.15)/(g1*g2) + (5*t^7.2)/(g1^5*g2^7) + (2*t^7.24)/(g1^9*g2^13) + g1^8*g2^10*t^7.34 + 2*g1^4*g2^4*t^7.38 + (3*t^7.42)/g2^2 - g1^13*g2^15*t^7.57 + 4*g1^9*g2^9*t^7.61 + t^7.74/(g1^29*g2^35) + g1^14*g2^14*t^7.84 + t^7.93/(g1^20*g2^24) + t^7.97/(g1^24*g2^30) - t^8.08/(g1^7*g2^7) - (2*t^8.12)/(g1^11*g2^13) + (3*t^8.16)/(g1^15*g2^19) + t^8.2/(g1^19*g2^25) - 3*g1^2*g2^4*t^8.27 - (3*t^8.31)/(g1^2*g2^2) - t^8.35/(g1^6*g2^8) + (3*t^8.39)/(g1^10*g2^14) + t^8.48/(g1^44*g2^52) - 2*g1^7*g2^9*t^8.5 - 5*g1^3*g2^3*t^8.54 + (4*t^8.58)/(g1*g2^3) + t^8.62/(g1^5*g2^9) + t^8.63/(g1^31*g2^35) + t^8.67/(g1^35*g2^41) + t^8.71/(g1^39*g2^47) - g1^12*g2^14*t^8.73 + t^8.77/(g1^18*g2^18) + 3*g1^8*g2^8*t^8.77 + 2*g1^4*g2^2*t^8.81 + t^8.82/(g1^22*g2^24) + (2*t^8.86)/(g1^26*g2^30) + (3*t^8.9)/(g1^30*g2^36) + t^8.92/(g1^5*g2) + t^8.94/(g1^34*g2^42) + t^8.96/(g1^9*g2^7) - t^4.15/(g1*g2*y) - t^6.27/(g1^12*g2^14*y) - (g1*g2^3*t^6.42)/y - t^6.46/(g1^3*g2^3*y) - t^6.5/(g1^7*g2^9*y) - (g1^2*g2^2*t^6.69)/y + t^7.39/(g1^9*g2^9*y) + t^7.43/(g1^13*g2^15*y) + t^7.47/(g1^17*g2^21*y) + (g2^2*t^7.58)/y + (2*t^7.62)/(g1^4*g2^4*y) + (3*t^7.66)/(g1^8*g2^10*y) + (3*g1^5*g2^7*t^7.8)/y + (3*g1*g2*t^7.85)/y + (3*t^7.89)/(g1^3*g2^5*y) + (g1^10*g2^12*t^8.03)/y + (g1^6*g2^6*t^8.08)/y - t^8.39/(g1^23*g2^27*y) - t^8.54/(g1^10*g2^10*y) - t^8.58/(g1^14*g2^16*y) - (g1^3*g2^7*t^8.69)/y - (g2*t^8.73)/(g1*y) - t^8.77/(g1^5*g2^5*y) - (t^4.15*y)/(g1*g2) - (t^6.27*y)/(g1^12*g2^14) - g1*g2^3*t^6.42*y - (t^6.46*y)/(g1^3*g2^3) - (t^6.5*y)/(g1^7*g2^9) - g1^2*g2^2*t^6.69*y + (t^7.39*y)/(g1^9*g2^9) + (t^7.43*y)/(g1^13*g2^15) + (t^7.47*y)/(g1^17*g2^21) + g2^2*t^7.58*y + (2*t^7.62*y)/(g1^4*g2^4) + (3*t^7.66*y)/(g1^8*g2^10) + 3*g1^5*g2^7*t^7.8*y + 3*g1*g2*t^7.85*y + (3*t^7.89*y)/(g1^3*g2^5) + g1^10*g2^12*t^8.03*y + g1^6*g2^6*t^8.08*y - (t^8.39*y)/(g1^23*g2^27) - (t^8.54*y)/(g1^10*g2^10) - (t^8.58*y)/(g1^14*g2^16) - g1^3*g2^7*t^8.69*y - (g2*t^8.73*y)/g1 - (t^8.77*y)/(g1^5*g2^5) |
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 |
|---|---|---|---|---|---|---|---|---|
| 55605 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_1M_6$ + $ M_5^2$ | 0.618 | 0.7842 | 0.7881 | [X:[], M:[1.2441, 0.7324, 0.7559, 0.9264, 1.0, 0.7559], q:[0.4632, 0.2926], qb:[0.8044, 0.7809], phi:[0.4147]] | t^2.2 + 2*t^2.27 + t^2.49 + t^2.78 + t^3. + t^3.29 + t^3.51 + t^4.02 + t^4.39 + 2*t^4.46 + 3*t^4.54 + t^4.69 + 3*t^4.76 + 2*t^4.98 + 2*t^5.05 + t^5.2 + 3*t^5.27 + t^5.49 + 3*t^5.56 + 3*t^5.78 - t^6. - t^4.24/y - t^4.24*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46786 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ | 0.6572 | 0.8255 | 0.7962 | [X:[], M:[1.1417, 0.7369, 0.8583, 0.7854, 0.6882], q:[0.3927, 0.4656], qb:[0.8704, 0.749], phi:[0.3806]] | 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. - t^4.14/y - t^4.14*y | detail |