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 |
|---|---|---|---|---|---|---|---|---|---|
| 55365 | 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_1^2$ + $ M_6\phi_1q_2^2$ + $ M_7q_2\tilde{q}_1$ | 0.6596 | 0.8332 | 0.7916 | [X:[], M:[1.1456, 0.7427, 0.8544, 0.7847, 1.2363, 0.6939, 0.673], q:[0.3923, 0.4621], qb:[0.8649, 0.7532], phi:[0.3819]] | [X:[], M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [2, 2], [-11, -13], [-7, -7]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_6$, $ M_2$, $ M_4$, $ M_3$, $ M_1$, $ \phi_1q_1^2$, $ M_5$, $ \phi_1q_1q_2$, $ M_7^2$, $ M_6M_7$, $ M_6^2$, $ M_2M_7$, $ M_2M_6$, $ M_4M_7$, $ M_4M_6$, $ M_2^2$, $ M_2M_4$, $ M_3M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_6$, $ M_4^2$, $ M_2M_3$, $ \phi_1q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_7$, $ M_1M_6$, $ M_7\phi_1q_1^2$, $ M_6\phi_1q_1^2$, $ M_1M_2$, $ \phi_1\tilde{q}_2^2$, $ M_5M_7$, $ M_7\phi_1q_1q_2$, $ M_1M_4$, $ M_5M_6$, $ M_6\phi_1q_1q_2$, $ M_4\phi_1q_1^2$, $ M_2M_5$ | . | -2 | t^2.02 + t^2.08 + t^2.23 + t^2.35 + t^2.56 + t^3.44 + t^3.5 + 2*t^3.71 + t^4.04 + t^4.1 + t^4.16 + t^4.25 + t^4.31 + t^4.37 + t^4.44 + t^4.46 + 2*t^4.58 + t^4.65 + t^4.71 + t^4.79 + t^4.85 + t^4.92 + t^5.13 + t^5.46 + 2*t^5.52 + t^5.58 + t^5.66 + 2*t^5.73 + 2*t^5.79 + t^5.85 + t^5.94 - 2*t^6. + 3*t^6.06 + t^6.12 + t^6.18 - t^6.21 + t^6.25 + 2*t^6.27 + t^6.33 + 2*t^6.39 + t^6.45 + t^6.48 + t^6.52 + t^6.54 + 2*t^6.6 + 2*t^6.66 + t^6.68 + 2*t^6.73 + t^6.79 + 2*t^6.81 + 2*t^6.87 + 3*t^6.94 + 2*t^7. + t^7.02 + t^7.06 + t^7.15 + 2*t^7.21 + t^7.27 - t^7.35 + t^7.47 + 2*t^7.54 + 2*t^7.6 - t^7.63 + t^7.66 + t^7.68 + 3*t^7.75 + 2*t^7.81 + 3*t^7.87 + t^7.89 + t^7.94 + t^7.96 - t^8.02 + t^8.08 + 3*t^8.14 + t^8.17 + t^8.2 + t^8.21 - 3*t^8.23 + t^8.26 + t^8.28 + t^8.29 + t^8.33 - t^8.35 + 2*t^8.41 + 2*t^8.42 - t^8.44 + 2*t^8.47 + t^8.49 - t^8.5 + t^8.54 - 2*t^8.56 + t^8.6 + 3*t^8.62 + 2*t^8.68 + t^8.7 + 3*t^8.75 - t^8.77 + 2*t^8.81 + 2*t^8.83 + t^8.87 + 3*t^8.89 + t^8.91 + 4*t^8.96 - t^4.15/y - t^6.16/y - t^6.23/y - t^6.37/y - t^6.5/y + t^7.1/y + t^7.25/y + t^7.31/y + t^7.37/y + t^7.44/y + (2*t^7.58)/y + t^7.65/y + (2*t^7.79)/y + (2*t^7.92)/y + t^8.06/y + t^8.13/y - t^8.18/y - t^8.25/y - t^8.31/y - t^8.39/y + t^8.52/y - t^8.6/y + t^8.66/y + (2*t^8.73)/y + (3*t^8.79)/y + (2*t^8.94)/y - t^4.15*y - t^6.16*y - t^6.23*y - t^6.37*y - t^6.5*y + t^7.1*y + t^7.25*y + t^7.31*y + t^7.37*y + t^7.44*y + 2*t^7.58*y + t^7.65*y + 2*t^7.79*y + 2*t^7.92*y + t^8.06*y + t^8.13*y - t^8.18*y - t^8.25*y - t^8.31*y - t^8.39*y + t^8.52*y - t^8.6*y + t^8.66*y + 2*t^8.73*y + 3*t^8.79*y + 2*t^8.94*y | t^2.02/(g1^7*g2^7) + t^2.08/(g1^11*g2^13) + g1^2*g2^4*t^2.23 + t^2.35/(g1^6*g2^8) + g1^3*g2^3*t^2.56 + t^3.44/(g1^3*g2^3) + t^3.5/(g1^7*g2^9) + 2*g1^2*g2^2*t^3.71 + t^4.04/(g1^14*g2^14) + t^4.1/(g1^18*g2^20) + t^4.16/(g1^22*g2^26) + t^4.25/(g1^5*g2^3) + t^4.31/(g1^9*g2^9) + t^4.37/(g1^13*g2^15) + t^4.44/(g1^17*g2^21) + g1^4*g2^8*t^4.46 + (2*t^4.58)/(g1^4*g2^4) + t^4.65/(g1^8*g2^10) + t^4.71/(g1^12*g2^16) + g1^5*g2^7*t^4.79 + g1*g2*t^4.85 + t^4.92/(g1^3*g2^5) + g1^6*g2^6*t^5.13 + t^5.46/(g1^10*g2^10) + (2*t^5.52)/(g1^14*g2^16) + t^5.58/(g1^18*g2^22) + (g2*t^5.66)/g1 + (2*t^5.73)/(g1^5*g2^5) + (2*t^5.79)/(g1^9*g2^11) + t^5.85/(g1^13*g2^17) + g1^4*g2^6*t^5.94 - 2*t^6. + t^6.06/(g1^21*g2^21) + (2*t^6.06)/(g1^4*g2^6) + t^6.12/(g1^25*g2^27) + t^6.18/(g1^29*g2^33) - g1^9*g2^11*t^6.21 + t^6.25/(g1^33*g2^39) + t^6.27/(g1^12*g2^10) + g1^5*g2^5*t^6.27 + t^6.33/(g1^16*g2^16) + (2*t^6.39)/(g1^20*g2^22) + t^6.45/(g1^24*g2^28) + (g2*t^6.48)/g1^3 + t^6.52/(g1^28*g2^34) + t^6.54/(g1^7*g2^5) + (2*t^6.6)/(g1^11*g2^11) + (2*t^6.66)/(g1^15*g2^17) + g1^6*g2^12*t^6.68 + (2*t^6.73)/(g1^19*g2^23) + t^6.79/(g1^23*g2^29) + (2*t^6.81)/g1^2 + (2*t^6.87)/(g1^6*g2^6) + (3*t^6.94)/(g1^10*g2^12) + (2*t^7.)/(g1^14*g2^18) + g1^7*g2^11*t^7.02 + t^7.06/(g1^18*g2^24) + t^7.15/(g1*g2) + (2*t^7.21)/(g1^5*g2^7) + t^7.27/(g1^9*g2^13) - g1^8*g2^10*t^7.35 + t^7.47/(g1^17*g2^17) + (2*t^7.54)/(g1^21*g2^23) + (2*t^7.6)/(g1^25*g2^29) - g1^13*g2^15*t^7.63 + t^7.66/(g1^29*g2^35) + t^7.68/(g1^8*g2^6) + (3*t^7.75)/(g1^12*g2^12) + (2*t^7.81)/(g1^16*g2^18) + (3*t^7.87)/(g1^20*g2^24) + g1*g2^5*t^7.89 + t^7.94/(g1^24*g2^30) + t^7.96/(g1^3*g2) - t^8.02/(g1^7*g2^7) + t^8.08/(g1^28*g2^28) + t^8.14/(g1^32*g2^34) + (2*t^8.14)/(g1^15*g2^19) + g1^6*g2^10*t^8.17 + t^8.2/(g1^36*g2^40) + t^8.21/(g1^19*g2^25) - 3*g1^2*g2^4*t^8.23 + t^8.26/(g1^40*g2^46) + t^8.28/(g1^19*g2^17) + t^8.29/(g1^2*g2^2) + t^8.33/(g1^44*g2^52) + t^8.35/(g1^23*g2^23) - (2*t^8.35)/(g1^6*g2^8) + (2*t^8.41)/(g1^27*g2^29) + (2*t^8.42)/(g1^10*g2^14) - g1^11*g2^15*t^8.44 + (2*t^8.47)/(g1^31*g2^35) + t^8.49/(g1^10*g2^6) - g1^7*g2^9*t^8.5 + t^8.54/(g1^35*g2^41) + t^8.56/(g1^14*g2^12) - 3*g1^3*g2^3*t^8.56 + t^8.6/(g1^39*g2^47) + (3*t^8.62)/(g1^18*g2^18) + (2*t^8.68)/(g1^22*g2^24) + (g2^5*t^8.7)/g1 + (3*t^8.75)/(g1^26*g2^30) + t^8.77/(g1^5*g2) - 2*g1^12*g2^14*t^8.77 + (2*t^8.81)/(g1^30*g2^36) + (2*t^8.83)/(g1^9*g2^7) + t^8.87/(g1^34*g2^42) + (3*t^8.89)/(g1^13*g2^13) + g1^8*g2^16*t^8.91 + (4*t^8.96)/(g1^17*g2^19) - t^4.15/(g1*g2*y) - t^6.16/(g1^8*g2^8*y) - t^6.23/(g1^12*g2^14*y) - (g1*g2^3*t^6.37)/y - t^6.5/(g1^7*g2^9*y) + t^7.1/(g1^18*g2^20*y) + t^7.25/(g1^5*g2^3*y) + t^7.31/(g1^9*g2^9*y) + t^7.37/(g1^13*g2^15*y) + t^7.44/(g1^17*g2^21*y) + (2*t^7.58)/(g1^4*g2^4*y) + t^7.65/(g1^8*g2^10*y) + (2*g1^5*g2^7*t^7.79)/y + (2*t^7.92)/(g1^3*g2^5*y) + (g1^10*g2^12*t^8.06)/y + (g1^6*g2^6*t^8.13)/y - t^8.18/(g1^15*g2^15*y) - t^8.25/(g1^19*g2^21*y) - t^8.31/(g1^23*g2^27*y) - t^8.39/(g1^6*g2^4*y) + t^8.52/(g1^14*g2^16*y) - (g1^3*g2^7*t^8.6)/y + (g2*t^8.66)/(g1*y) + (2*t^8.73)/(g1^5*g2^5*y) + (3*t^8.79)/(g1^9*g2^11*y) + (2*g1^4*g2^6*t^8.94)/y - (t^4.15*y)/(g1*g2) - (t^6.16*y)/(g1^8*g2^8) - (t^6.23*y)/(g1^12*g2^14) - g1*g2^3*t^6.37*y - (t^6.5*y)/(g1^7*g2^9) + (t^7.1*y)/(g1^18*g2^20) + (t^7.25*y)/(g1^5*g2^3) + (t^7.31*y)/(g1^9*g2^9) + (t^7.37*y)/(g1^13*g2^15) + (t^7.44*y)/(g1^17*g2^21) + (2*t^7.58*y)/(g1^4*g2^4) + (t^7.65*y)/(g1^8*g2^10) + 2*g1^5*g2^7*t^7.79*y + (2*t^7.92*y)/(g1^3*g2^5) + g1^10*g2^12*t^8.06*y + g1^6*g2^6*t^8.13*y - (t^8.18*y)/(g1^15*g2^15) - (t^8.25*y)/(g1^19*g2^21) - (t^8.31*y)/(g1^23*g2^27) - (t^8.39*y)/(g1^6*g2^4) + (t^8.52*y)/(g1^14*g2^16) - g1^3*g2^7*t^8.6*y + (g2*t^8.66*y)/g1 + (2*t^8.73*y)/(g1^5*g2^5) + (3*t^8.79*y)/(g1^9*g2^11) + 2*g1^4*g2^6*t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 56979 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_6\phi_1q_2^2$ + $ M_7q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_2X_1$ | 0.571 | 0.696 | 0.8204 | [X:[1.4387], M:[1.1821, 0.5613, 0.8179, 1.0149, 1.2119, 0.9851, 0.7583], q:[0.5074, 0.3104], qb:[0.9313, 0.6747], phi:[0.394]] | t^2.27 + t^2.45 + t^2.96 + t^3.04 + t^3.55 + 2*t^3.64 + t^4.23 + t^4.32 + t^4.55 + t^4.73 + t^4.82 + t^4.91 + t^5.23 + t^5.5 + t^5.82 + 2*t^5.91 - t^6. - t^4.18/y - t^4.18*y | detail | |
| 56977 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_6\phi_1q_2^2$ + $ M_7q_2\tilde{q}_1$ + $ M_6M_7$ | 0.5757 | 0.7182 | 0.8016 | [X:[], M:[1.2798, 0.8254, 0.7202, 0.8809, 1.1468, 1.0139, 0.9861], q:[0.4405, 0.2798], qb:[0.7341, 0.8393], phi:[0.4266]] | t^2.16 + t^2.48 + t^2.64 + t^2.96 + t^3.04 + 2*t^3.44 + t^3.84 + t^3.92 + t^4.32 + t^4.64 + t^4.72 + t^4.8 + t^4.95 + 2*t^5.12 + t^5.2 + t^5.29 + t^5.43 + 2*t^5.6 + t^5.68 + 2*t^5.92 - t^6. - t^4.28/y - t^4.28*y | detail | |
| 56976 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_6\phi_1q_2^2$ + $ M_7q_2\tilde{q}_1$ + $ M_7^2$ | 0.5849 | 0.7338 | 0.797 | [X:[], M:[1.2857, 0.9551, 0.7143, 0.7592, 1.1429, 0.902, 1.0], q:[0.3796, 0.3347], qb:[0.6653, 0.9061], phi:[0.4286]] | t^2.14 + t^2.28 + t^2.71 + t^2.87 + t^3. + 2*t^3.43 + t^3.56 + t^3.86 + t^4.29 + t^4.42 + t^4.55 + t^4.71 + t^4.85 + t^4.98 + t^5.01 + 2*t^5.14 + t^5.28 + t^5.41 + 2*t^5.57 + 3*t^5.71 + t^5.73 + t^5.84 - t^6. - t^4.29/y - t^4.29*y | detail | |
| 56982 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_6\phi_1q_2^2$ + $ M_7q_2\tilde{q}_1$ + $ M_8\phi_1q_1^2$ | 0.6748 | 0.8586 | 0.7859 | [X:[], M:[1.1468, 0.7202, 0.8532, 0.8089, 1.2355, 0.7202, 0.6758, 0.8089], q:[0.4044, 0.4488], qb:[0.8754, 0.7423], phi:[0.3823]] | t^2.03 + 2*t^2.16 + 2*t^2.43 + t^2.56 + t^3.44 + 2*t^3.71 + t^4.05 + 2*t^4.19 + 3*t^4.32 + 2*t^4.45 + 5*t^4.59 + 2*t^4.72 + 4*t^4.85 + 2*t^4.99 + t^5.12 + t^5.47 + 2*t^5.6 + t^5.73 + 4*t^5.87 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47025 | 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_1^2$ + $ M_6\phi_1q_2^2$ | 0.6388 | 0.7919 | 0.8066 | [X:[], M:[1.147, 0.7449, 0.853, 0.7844, 1.2353, 0.696], q:[0.3922, 0.4608], qb:[0.8629, 0.7548], phi:[0.3823]] | t^2.09 + t^2.23 + t^2.35 + t^2.56 + t^3.44 + t^3.5 + 2*t^3.71 + t^3.97 + t^4.18 + t^4.32 + t^4.44 + t^4.47 + t^4.59 + t^4.65 + t^4.71 + t^4.79 + t^4.85 + t^4.91 + t^5.12 + t^5.53 + t^5.59 + t^5.68 + 2*t^5.79 + t^5.85 + t^5.94 - 2*t^6. - t^4.15/y - t^4.15*y | detail |