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 |
|---|---|---|---|---|---|---|---|---|---|
| 4395 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.7346 | 0.9221 | 0.7967 | [X:[], M:[0.843, 1.0481, 1.0609, 0.9647, 0.9391, 1.0353, 0.8686, 0.9391, 0.6811], q:[0.6138, 0.5432], qb:[0.4215, 0.5176], phi:[0.476]] | [X:[], M:[[8, 0], [-2, 2], [-4, -4], [0, -8], [4, 4], [0, 8], [4, -12], [4, 4], [-9, 1]], q:[[-4, 8], [-4, -8]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_9$, $ M_1$, $ M_7$, $ M_5$, $ M_8$, $ M_4$, $ M_6$, $ M_2$, $ M_9^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_1M_9$, $ \phi_1q_2\tilde{q}_2$, $ M_7M_9$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_5M_9$, $ M_8M_9$, $ \phi_1q_1q_2$, $ M_4M_9$, $ M_1^2$, $ \phi_1q_1^2$, $ M_1M_7$, $ M_6M_9$, $ M_2M_9$, $ M_7^2$, $ M_1M_5$, $ M_1M_8$, $ M_1M_4$, $ M_5M_7$, $ M_7M_8$, $ M_4M_7$, $ M_5^2$, $ M_1M_6$, $ M_5M_8$, $ M_8^2$, $ M_1M_2$, $ M_4M_5$, $ M_6M_7$, $ M_4M_8$, $ M_2M_7$, $ M_5M_6$, $ M_6M_8$, $ M_2M_5$, $ M_2M_8$ | . | -3 | t^2.04 + t^2.53 + t^2.61 + 2*t^2.82 + t^2.89 + t^3.11 + t^3.14 + t^4.09 + t^4.25 + t^4.32 + 2*t^4.53 + t^4.57 + t^4.61 + t^4.65 + t^4.69 + t^4.82 + 2*t^4.86 + t^4.9 + t^4.94 + t^5.06 + t^5.11 + t^5.13 + t^5.15 + t^5.19 + t^5.21 + 2*t^5.35 + 2*t^5.42 + t^5.5 + 3*t^5.63 + t^5.67 + t^5.71 + t^5.75 + t^5.92 + 2*t^5.96 - 3*t^6. + t^6.04 - t^6.08 + t^6.13 + t^6.25 - t^6.29 + t^6.58 + t^6.62 + t^6.65 + t^6.69 + t^6.73 + t^6.77 + t^6.85 + t^6.87 + 2*t^6.9 + t^6.93 + t^6.94 + t^6.98 + 3*t^7.06 + 3*t^7.14 + t^7.15 + t^7.18 + t^7.19 + 2*t^7.22 + t^7.23 + t^7.25 + t^7.29 + 4*t^7.35 + 2*t^7.39 + 2*t^7.43 + 2*t^7.47 + 2*t^7.5 + t^7.54 + t^7.58 + t^7.59 + 3*t^7.64 + t^7.66 + 3*t^7.68 + t^7.72 + t^7.74 + t^7.75 + t^7.79 + t^7.82 + 2*t^7.88 + 2*t^7.93 + 2*t^7.95 + t^7.97 + t^8. + 2*t^8.03 - 3*t^8.04 + t^8.11 - t^8.12 + 3*t^8.16 + t^8.17 + t^8.2 + t^8.22 + t^8.24 + t^8.28 + t^8.32 - t^8.33 + t^8.36 + 3*t^8.45 + 2*t^8.49 - 4*t^8.53 + 2*t^8.57 - 4*t^8.61 + t^8.62 + t^8.64 + t^8.66 - t^8.68 + t^8.7 + 2*t^8.74 + t^8.77 + 4*t^8.78 - 8*t^8.82 + 2*t^8.86 - 5*t^8.89 + t^8.91 + t^8.93 + 2*t^8.95 - t^8.97 + t^8.99 - t^4.43/y - t^6.47/y - t^6.96/y - t^7.03/y - t^7.25/y + t^7.57/y + t^7.61/y + t^7.65/y + t^7.82/y + (2*t^7.86)/y + t^7.9/y + t^7.94/y + t^8.13/y + t^8.15/y + t^8.19/y + (2*t^8.35)/y + t^8.38/y + (3*t^8.42)/y + t^8.5/y - t^8.51/y + (2*t^8.63)/y + t^8.67/y + (3*t^8.71)/y + t^8.75/y + (2*t^8.92)/y + (2*t^8.96)/y - t^4.43*y - t^6.47*y - t^6.96*y - t^7.03*y - t^7.25*y + t^7.57*y + t^7.61*y + t^7.65*y + t^7.82*y + 2*t^7.86*y + t^7.9*y + t^7.94*y + t^8.13*y + t^8.15*y + t^8.19*y + 2*t^8.35*y + t^8.38*y + 3*t^8.42*y + t^8.5*y - t^8.51*y + 2*t^8.63*y + t^8.67*y + 3*t^8.71*y + t^8.75*y + 2*t^8.92*y + 2*t^8.96*y | (g2*t^2.04)/g1^9 + g1^8*t^2.53 + (g1^4*t^2.61)/g2^12 + 2*g1^4*g2^4*t^2.82 + t^2.89/g2^8 + g2^8*t^3.11 + (g2^2*t^3.14)/g1^2 + (g2^2*t^4.09)/g1^18 + g1^5*g2^3*t^4.25 + (g1*t^4.32)/g2^9 + 2*g1*g2^7*t^4.53 + (g2*t^4.57)/g1 + t^4.61/(g1^3*g2^5) + t^4.65/(g1^5*g2^11) + t^4.69/(g1^7*g2^17) + (g2^11*t^4.82)/g1^3 + (2*g2^5*t^4.86)/g1^5 + t^4.9/(g1^7*g2) + t^4.94/(g1^9*g2^7) + g1^16*t^5.06 + (g2^15*t^5.11)/g1^7 + (g1^12*t^5.13)/g2^12 + (g2^9*t^5.15)/g1^9 + (g2^3*t^5.19)/g1^11 + (g1^8*t^5.21)/g2^24 + 2*g1^12*g2^4*t^5.35 + (2*g1^8*t^5.42)/g2^8 + (g1^4*t^5.5)/g2^20 + 3*g1^8*g2^8*t^5.63 + g1^6*g2^2*t^5.67 + (g1^4*t^5.71)/g2^4 + (g1^2*t^5.75)/g2^10 + g1^4*g2^12*t^5.92 + 2*g1^2*g2^6*t^5.96 - 3*t^6. + t^6.04/(g1^2*g2^6) - t^6.08/(g1^4*g2^12) + (g2^3*t^6.13)/g1^27 + (g2^10*t^6.25)/g1^2 - (g2^4*t^6.29)/g1^4 + (g2^8*t^6.58)/g1^8 + (g2^2*t^6.62)/g1^10 + t^6.65/(g1^12*g2^4) + t^6.69/(g1^14*g2^10) + t^6.73/(g1^16*g2^16) + g1^13*g2^3*t^6.77 + (g1^9*t^6.85)/g2^9 + (g2^12*t^6.87)/g1^12 + (2*g2^6*t^6.9)/g1^14 + (g1^5*t^6.93)/g2^21 + t^6.94/g1^16 + t^6.98/(g1^18*g2^6) + 3*g1^9*g2^7*t^7.06 + (3*g1^5*t^7.14)/g2^5 + (g2^16*t^7.15)/g1^16 + (g1^3*t^7.18)/g2^11 + (g2^10*t^7.19)/g1^18 + (2*g1*t^7.22)/g2^17 + (g2^4*t^7.23)/g1^20 + t^7.25/(g1*g2^23) + t^7.29/(g1^3*g2^29) + 4*g1^5*g2^11*t^7.35 + 2*g1^3*g2^5*t^7.39 + (2*g1*t^7.43)/g2 + (2*t^7.47)/(g1*g2^7) + (2*t^7.5)/(g1^3*g2^13) + t^7.54/(g1^5*g2^19) + t^7.58/(g1^7*g2^25) + g1^24*t^7.59 + 3*g1*g2^15*t^7.64 + (g1^20*t^7.66)/g2^12 + (3*g2^9*t^7.68)/g1 + (g2^3*t^7.72)/g1^3 + (g1^16*t^7.74)/g2^24 + t^7.75/(g1^5*g2^3) + t^7.79/(g1^7*g2^9) + (g1^12*t^7.82)/g2^36 + 2*g1^20*g2^4*t^7.88 + (2*g2^19*t^7.93)/g1^3 + (2*g1^16*t^7.95)/g2^8 + (g2^13*t^7.97)/g1^5 + (g2^7*t^8.)/g1^7 + (2*g1^12*t^8.03)/g2^20 - (3*g2*t^8.04)/g1^9 + (g1^8*t^8.11)/g2^32 - t^8.12/(g1^13*g2^11) + 3*g1^16*g2^8*t^8.16 + (g2^4*t^8.17)/g1^36 + g1^14*g2^2*t^8.2 + (g2^23*t^8.22)/g1^7 + (g1^12*t^8.24)/g2^4 + (g1^10*t^8.28)/g2^10 + (g1^8*t^8.32)/g2^16 - (g2^5*t^8.33)/g1^13 + (g1^6*t^8.36)/g2^22 + 3*g1^12*g2^12*t^8.45 + 2*g1^10*g2^6*t^8.49 - 4*g1^8*t^8.53 + (2*g1^6*t^8.57)/g2^6 - (4*g1^4*t^8.61)/g2^12 + (g2^9*t^8.62)/g1^17 + (g1^2*t^8.64)/g2^18 + (g2^3*t^8.66)/g1^19 - t^8.68/g2^24 + t^8.7/(g1^21*g2^3) + t^8.74/(g1^23*g2^9) + g1^8*g2^16*t^8.74 + t^8.77/(g1^25*g2^15) + 4*g1^6*g2^10*t^8.78 - 8*g1^4*g2^4*t^8.82 + (2*g1^2*t^8.86)/g2^2 - (5*t^8.89)/g2^8 + (g2^13*t^8.91)/g1^21 + t^8.93/(g1^2*g2^14) + (2*g2^7*t^8.95)/g1^23 - t^8.97/(g1^4*g2^20) + (g2*t^8.99)/g1^25 - (g1*t^4.43)/(g2*y) - t^6.47/(g1^8*y) - (g1^9*t^6.96)/(g2*y) - (g1^5*t^7.03)/(g2^13*y) - (g1^5*g2^3*t^7.25)/y + (g2*t^7.57)/(g1*y) + t^7.61/(g1^3*g2^5*y) + t^7.65/(g1^5*g2^11*y) + (g2^11*t^7.82)/(g1^3*y) + (2*g2^5*t^7.86)/(g1^5*y) + t^7.9/(g1^7*g2*y) + t^7.94/(g1^9*g2^7*y) + (g1^12*t^8.13)/(g2^12*y) + (g2^9*t^8.15)/(g1^9*y) + (g2^3*t^8.19)/(g1^11*y) + (2*g1^12*g2^4*t^8.35)/y + (g1^10*t^8.38)/(g2^2*y) + (3*g1^8*t^8.42)/(g2^8*y) + (g1^4*t^8.5)/(g2^20*y) - (g2*t^8.51)/(g1^17*y) + (2*g1^8*g2^8*t^8.63)/y + (g1^6*g2^2*t^8.67)/y + (3*g1^4*t^8.71)/(g2^4*y) + (g1^2*t^8.75)/(g2^10*y) + (2*g1^4*g2^12*t^8.92)/y + (2*g1^2*g2^6*t^8.96)/y - (g1*t^4.43*y)/g2 - (t^6.47*y)/g1^8 - (g1^9*t^6.96*y)/g2 - (g1^5*t^7.03*y)/g2^13 - g1^5*g2^3*t^7.25*y + (g2*t^7.57*y)/g1 + (t^7.61*y)/(g1^3*g2^5) + (t^7.65*y)/(g1^5*g2^11) + (g2^11*t^7.82*y)/g1^3 + (2*g2^5*t^7.86*y)/g1^5 + (t^7.9*y)/(g1^7*g2) + (t^7.94*y)/(g1^9*g2^7) + (g1^12*t^8.13*y)/g2^12 + (g2^9*t^8.15*y)/g1^9 + (g2^3*t^8.19*y)/g1^11 + 2*g1^12*g2^4*t^8.35*y + (g1^10*t^8.38*y)/g2^2 + (3*g1^8*t^8.42*y)/g2^8 + (g1^4*t^8.5*y)/g2^20 - (g2*t^8.51*y)/g1^17 + 2*g1^8*g2^8*t^8.63*y + g1^6*g2^2*t^8.67*y + (3*g1^4*t^8.71*y)/g2^4 + (g1^2*t^8.75*y)/g2^10 + 2*g1^4*g2^12*t^8.92*y + 2*g1^2*g2^6*t^8.96*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 |
|---|---|---|---|---|---|---|---|---|
| 5911 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_1^2$ + $ M_2M_9$ + $ M_1X_1$ | 0.672 | 0.8377 | 0.8021 | [X:[1.3477], M:[0.6523, 1.1016, 1.1445, 0.9414, 0.8555, 1.0586, 0.7383, 0.8555, 0.8984], q:[0.7324, 0.6152], qb:[0.3262, 0.5293], phi:[0.4492]] | t^2.21 + 2*t^2.57 + t^2.7 + t^2.82 + t^3.18 + t^3.3 + t^3.91 + t^4.04 + t^4.17 + t^4.43 + 2*t^4.52 + 2*t^4.78 + t^4.91 + 2*t^5.04 + 3*t^5.13 + 2*t^5.26 + 3*t^5.39 + 2*t^5.52 + 2*t^5.74 + 3*t^5.87 - 2*t^6. - t^4.35/y - t^4.35*y | detail | |
| 5908 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_1^2$ + $ M_4M_9$ + $ M_1X_1$ | 0.6403 | 0.8039 | 0.7965 | [X:[1.3826], M:[0.6174, 1.0758, 1.2311, 1.0796, 0.7689, 0.9204, 0.928, 0.7689, 0.9204], q:[0.6117, 0.7708], qb:[0.3087, 0.4602], phi:[0.4621]] | 2*t^2.31 + 2*t^2.76 + t^2.78 + t^3.23 + t^3.24 + t^3.69 + 3*t^4.15 + t^4.6 + 2*t^4.61 + t^4.63 + t^5.06 + 3*t^5.07 + t^5.08 + t^5.09 + 2*t^5.52 + 3*t^5.53 + 2*t^5.55 + t^5.57 + 2*t^5.99 - t^6. - t^4.39/y - t^4.39*y | detail | |
| 5904 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_1^2$ + $ M_7M_9$ + $ M_1X_1$ | 0.5886 | 0.7549 | 0.7797 | [X:[1.3388], M:[0.6612, 1.0323, 1.2742, 1.2096, 0.7258, 0.7904, 1.145, 0.7258, 0.855], q:[0.4598, 0.879], qb:[0.3306, 0.3952], phi:[0.4838]] | 2*t^2.18 + t^2.37 + t^2.57 + t^3.1 + t^3.43 + 2*t^3.63 + 2*t^3.82 + 2*t^4.02 + t^4.21 + 2*t^4.35 + t^4.55 + 2*t^4.74 + t^4.94 + t^5.08 + t^5.13 + 3*t^5.27 + 2*t^5.47 + t^5.61 + t^5.66 + 2*t^5.81 + t^6. - t^4.45/y - t^4.45*y | detail | |
| 5896 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_1^2$ + $ M_9^2$ + $ M_1X_1$ | 0.6293 | 0.7893 | 0.7973 | [X:[1.44], M:[0.56, 1.12, 1.1999, 0.9599, 0.8001, 1.0401, 0.7198, 0.8001, 1.0], q:[0.7601, 0.6798], qb:[0.28, 0.5201], phi:[0.44]] | t^2.16 + 2*t^2.4 + t^2.88 + t^3. + t^3.12 + t^3.36 + t^3.72 + t^4.2 + 2*t^4.32 + 2*t^4.44 + t^4.56 + 2*t^4.8 + t^4.92 + t^5.04 + 2*t^5.16 + t^5.28 + 3*t^5.4 + 2*t^5.52 + t^5.64 + 2*t^5.76 + 2*t^5.88 - 2*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2384 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ M_3M_8$ | 0.7139 | 0.8819 | 0.8095 | [X:[], M:[0.8374, 1.0495, 1.0636, 0.9646, 0.9364, 1.0354, 0.8655, 0.9364], q:[0.6168, 0.5459], qb:[0.4187, 0.5177], phi:[0.4752]] | t^2.51 + t^2.6 + 2*t^2.81 + t^2.89 + t^3.11 + t^3.15 + t^3.94 + t^4.23 + t^4.32 + 2*t^4.53 + t^4.62 + t^4.7 + t^4.83 + t^4.91 + t^5.02 + t^5.11 + t^5.13 + t^5.19 + 2*t^5.32 + 2*t^5.41 + t^5.49 + 3*t^5.62 + t^5.66 + t^5.7 + t^5.75 + t^5.92 + 2*t^5.96 - 3*t^6. - t^4.43/y - t^4.43*y | detail |