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 |
|---|---|---|---|---|---|---|---|---|---|
| 47088 | 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_6\phi_1q_1^2$ | 0.6724 | 0.8509 | 0.7902 | [X:[], M:[1.1435, 0.7153, 0.8565, 0.8094, 0.7153, 0.8094], q:[0.4047, 0.4518], qb:[0.88, 0.7388], phi:[0.3812]] | [X:[], M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [-11, -13], [7, 9]], 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 |
|---|---|---|---|---|
| $M_5$, $ M_2$, $ \phi_1^2$, $ M_4$, $ M_6$, $ M_3$, $ M_1$, $ \phi_1q_1q_2$, $ q_2\tilde{q}_1$, $ M_5^2$, $ M_2M_5$, $ M_2^2$, $ M_5\phi_1^2$, $ M_2\phi_1^2$, $ M_4M_5$, $ M_2M_4$, $ M_5M_6$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_6$, $ M_3M_5$, $ M_4\phi_1^2$, $ M_2M_3$, $ M_6\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_4M_6$, $ M_3\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_6$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_5$, $ M_1M_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_5\phi_1q_1q_2$, $ M_1M_6$ | $\phi_1^3q_1q_2$ | -1 | 2*t^2.15 + t^2.29 + 2*t^2.43 + t^2.57 + t^3.43 + t^3.71 + t^4. + 3*t^4.29 + 2*t^4.43 + 5*t^4.57 + 4*t^4.72 + 5*t^4.86 + 2*t^5. + t^5.14 + 2*t^5.58 + 2*t^5.86 - t^6. + 2*t^6.14 + t^6.28 + 2*t^6.42 + 4*t^6.44 + t^6.56 + 3*t^6.58 + 8*t^6.72 + 8*t^6.86 + 10*t^7. + 7*t^7.14 + 6*t^7.28 + 3*t^7.43 + t^7.71 + 3*t^7.72 + t^7.99 + 3*t^8. - 4*t^8.15 + t^8.29 - 6*t^8.43 + t^8.57 + 5*t^8.58 + 4*t^8.72 + 4*t^8.85 + 11*t^8.87 + 2*t^8.99 - t^4.14/y - (2*t^6.29)/y - t^6.43/y - (2*t^6.57)/y + t^7.29/y + (2*t^7.43)/y + (4*t^7.57)/y + (6*t^7.72)/y + (3*t^7.86)/y + (4*t^8.)/y - (3*t^8.44)/y - (4*t^8.72)/y + (2*t^8.86)/y - t^4.14*y - 2*t^6.29*y - t^6.43*y - 2*t^6.57*y + t^7.29*y + 2*t^7.43*y + 4*t^7.57*y + 6*t^7.72*y + 3*t^7.86*y + 4*t^8.*y - 3*t^8.44*y - 4*t^8.72*y + 2*t^8.86*y | t^2.15/(g1^11*g2^13) + g1^2*g2^4*t^2.15 + t^2.29/(g1^2*g2^2) + t^2.43/(g1^6*g2^8) + g1^7*g2^9*t^2.43 + g1^3*g2^3*t^2.57 + t^3.43/(g1^3*g2^3) + g1^2*g2^2*t^3.71 + g1^7*g2^7*t^4. + t^4.29/(g1^22*g2^26) + t^4.29/(g1^9*g2^9) + g1^4*g2^8*t^4.29 + t^4.43/(g1^13*g2^15) + g2^2*t^4.43 + t^4.57/(g1^17*g2^21) + (3*t^4.57)/(g1^4*g2^4) + g1^9*g2^13*t^4.57 + (2*t^4.72)/(g1^8*g2^10) + 2*g1^5*g2^7*t^4.72 + t^4.86/(g1^12*g2^16) + 3*g1*g2*t^4.86 + g1^14*g2^18*t^4.86 + t^5./(g1^3*g2^5) + g1^10*g2^12*t^5. + g1^6*g2^6*t^5.14 + t^5.58/(g1^14*g2^16) + (g2*t^5.58)/g1 + t^5.86/(g1^9*g2^11) + g1^4*g2^6*t^5.86 - t^6. + t^6.14/(g1^4*g2^6) + g1^9*g2^11*t^6.14 + g1^5*g2^5*t^6.28 + (g1*t^6.42)/g2 + g1^14*g2^16*t^6.42 + t^6.44/(g1^33*g2^39) + t^6.44/(g1^20*g2^22) + t^6.44/(g1^7*g2^5) + g1^6*g2^12*t^6.44 + g1^10*g2^10*t^6.56 + t^6.58/(g1^24*g2^28) + t^6.58/(g1^11*g2^11) + g1^2*g2^6*t^6.58 + (3*t^6.72)/g1^2 + t^6.72/(g1^28*g2^34) + (3*t^6.72)/(g1^15*g2^17) + g1^11*g2^17*t^6.72 + (2*t^6.86)/(g1^19*g2^23) + (4*t^6.86)/(g1^6*g2^6) + 2*g1^7*g2^11*t^6.86 + t^7./(g1^23*g2^29) + (4*t^7.)/(g1^10*g2^12) + 4*g1^3*g2^5*t^7. + g1^16*g2^22*t^7. + (2*t^7.14)/(g1^14*g2^18) + (3*t^7.14)/(g1*g2) + 2*g1^12*g2^16*t^7.14 + t^7.28/(g1^18*g2^24) + (2*t^7.28)/(g1^5*g2^7) + 2*g1^8*g2^10*t^7.28 + g1^21*g2^27*t^7.28 + t^7.43/(g1^9*g2^13) + g1^4*g2^4*t^7.43 + g1^17*g2^21*t^7.43 + g1^9*g2^9*t^7.71 + t^7.72/(g1^25*g2^29) + t^7.72/(g1^12*g2^12) + g1*g2^5*t^7.72 + g1^14*g2^14*t^7.99 + t^8./(g1^20*g2^24) + t^8./(g1^7*g2^7) + g1^6*g2^10*t^8. - (2*t^8.15)/(g1^11*g2^13) - 2*g1^2*g2^4*t^8.15 + t^8.29/(g1^15*g2^19) - t^8.29/(g1^2*g2^2) + g1^11*g2^15*t^8.29 - (3*t^8.43)/(g1^6*g2^8) - 3*g1^7*g2^9*t^8.43 + t^8.57/(g1^10*g2^14) - g1^3*g2^3*t^8.57 + g1^16*g2^20*t^8.57 + t^8.58/(g1^44*g2^52) + t^8.58/(g1^31*g2^35) + t^8.58/(g1^18*g2^18) + t^8.58/(g1^5*g2) + g1^8*g2^16*t^8.58 + t^8.72/(g1^35*g2^41) + t^8.72/(g1^22*g2^24) + t^8.72/(g1^9*g2^7) + g1^4*g2^10*t^8.72 + t^8.85/(g1^5*g2^9) + 2*g1^8*g2^8*t^8.85 + g1^21*g2^25*t^8.85 + t^8.87/(g1^39*g2^47) + (3*t^8.87)/(g1^26*g2^30) + (3*t^8.87)/(g1^13*g2^13) + 3*g2^4*t^8.87 + g1^13*g2^21*t^8.87 + g1^4*g2^2*t^8.99 + g1^17*g2^19*t^8.99 - t^4.14/(g1*g2*y) - t^6.29/(g1^12*g2^14*y) - (g1*g2^3*t^6.29)/y - t^6.43/(g1^3*g2^3*y) - t^6.57/(g1^7*g2^9*y) - (g1^6*g2^8*t^6.57)/y + t^7.29/(g1^9*g2^9*y) + t^7.43/(g1^13*g2^15*y) + (g2^2*t^7.43)/y + t^7.57/(g1^17*g2^21*y) + (2*t^7.57)/(g1^4*g2^4*y) + (g1^9*g2^13*t^7.57)/y + (3*t^7.72)/(g1^8*g2^10*y) + (3*g1^5*g2^7*t^7.72)/y + (3*g1*g2*t^7.86)/y + (2*t^8.)/(g1^3*g2^5*y) + (2*g1^10*g2^12*t^8.)/y - t^8.44/(g1^23*g2^27*y) - t^8.44/(g1^10*g2^10*y) - (g1^3*g2^7*t^8.44)/y - t^8.72/(g1^18*g2^22*y) - (2*t^8.72)/(g1^5*g2^5*y) - (g1^8*g2^12*t^8.72)/y + t^8.86/(g1^9*g2^11*y) + (g1^4*g2^6*t^8.86)/y - (t^4.14*y)/(g1*g2) - (t^6.29*y)/(g1^12*g2^14) - g1*g2^3*t^6.29*y - (t^6.43*y)/(g1^3*g2^3) - (t^6.57*y)/(g1^7*g2^9) - g1^6*g2^8*t^6.57*y + (t^7.29*y)/(g1^9*g2^9) + (t^7.43*y)/(g1^13*g2^15) + g2^2*t^7.43*y + (t^7.57*y)/(g1^17*g2^21) + (2*t^7.57*y)/(g1^4*g2^4) + g1^9*g2^13*t^7.57*y + (3*t^7.72*y)/(g1^8*g2^10) + 3*g1^5*g2^7*t^7.72*y + 3*g1*g2*t^7.86*y + (2*t^8.*y)/(g1^3*g2^5) + 2*g1^10*g2^12*t^8.*y - (t^8.44*y)/(g1^23*g2^27) - (t^8.44*y)/(g1^10*g2^10) - g1^3*g2^7*t^8.44*y - (t^8.72*y)/(g1^18*g2^22) - (2*t^8.72*y)/(g1^5*g2^5) - g1^8*g2^12*t^8.72*y + (t^8.86*y)/(g1^9*g2^11) + g1^4*g2^6*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 55638 | $M_1q_1q_2$ + $ 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_6\phi_1q_1^2$ + $ M_7\phi_1q_1q_2$ | 0.691 | 0.8849 | 0.7809 | [X:[], M:[1.1385, 0.7077, 0.8615, 0.8103, 0.7077, 0.8103, 0.759], q:[0.4051, 0.4564], qb:[0.8871, 0.7334], phi:[0.3795]] | 2*t^2.12 + 2*t^2.28 + 2*t^2.43 + t^2.58 + t^3.42 + t^4.03 + 3*t^4.25 + 4*t^4.4 + 7*t^4.55 + 6*t^4.71 + 6*t^4.86 + 2*t^5.02 + t^5.17 + 2*t^5.54 + t^5.69 - 2*t^6. - t^4.14/y - t^4.14*y | detail | |
| 50756 | $M_1q_1q_2$ + $ 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_6\phi_1q_1^2$ + $ \phi_1\tilde{q}_2^2$ | 0.6654 | 0.8413 | 0.7909 | [X:[], M:[1.1857, 0.8143, 0.8143, 0.7667, 0.7428, 0.8381], q:[0.3833, 0.431], qb:[0.8024, 0.8024], phi:[0.3952]] | t^2.23 + t^2.3 + t^2.37 + 2*t^2.44 + t^2.51 + t^3.56 + t^3.63 + t^3.7 + t^4.46 + t^4.53 + 2*t^4.6 + 3*t^4.67 + 4*t^4.74 + 4*t^4.81 + 4*t^4.89 + 2*t^4.96 + t^5.03 + t^5.79 + t^5.86 + t^5.93 + t^6. - t^4.19/y - t^4.19*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 |