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 |
|---|---|---|---|---|---|---|---|---|---|
| 4404 | 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_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5X_1$ + $ M_8\phi_1q_1^2$ | 0.6905 | 0.8716 | 0.7922 | [X:[1.3769], M:[0.7969, 1.1016, 1.0, 1.1738, 0.6231, 0.8262, 0.7539, 0.6953], q:[0.4277, 0.7754], qb:[0.3984, 0.6016], phi:[0.4492]] | [X:[[5]], M:[[-8], [4], [0], [-3], [-5], [3], [10], [-12]], q:[[7], [1]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_7$, $ M_1$, $ M_6$, $ M_3$, $ q_1\tilde{q}_2$, $ M_2$, $ M_4$, $ \phi_1q_1\tilde{q}_1$, $ X_1$, $ M_8^2$, $ M_7M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_8$, $ M_7^2$, $ M_6M_8$, $ M_1M_7$, $ M_6M_7$, $ M_1^2$, $ M_1M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_8$, $ M_8q_1\tilde{q}_2$, $ M_3M_7$, $ M_7q_1\tilde{q}_2$, $ M_1M_3$, $ M_2M_8$, $ M_3M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_7$, $ M_6q_1\tilde{q}_2$, $ M_4M_8$, $ M_1M_2$, $ M_2M_6$, $ M_4M_7$, $ M_1M_4$, $ M_8\phi_1q_1\tilde{q}_1$ | . | -1 | t^2.09 + t^2.26 + t^2.39 + t^2.48 + t^3. + t^3.09 + t^3.3 + t^3.52 + t^3.83 + t^4.13 + t^4.17 + 2*t^4.35 + t^4.44 + t^4.48 + t^4.52 + t^4.56 + t^4.65 + t^4.74 + t^4.78 + t^4.87 + 2*t^4.96 + t^5.09 + t^5.17 + t^5.26 + t^5.35 + t^5.39 + t^5.48 + 2*t^5.57 + t^5.61 + t^5.7 + 2*t^5.78 + t^5.91 - t^6. + t^6.09 + t^6.18 + t^6.22 + t^6.26 + t^6.3 + 2*t^6.39 + 2*t^6.43 + t^6.52 + t^6.56 + 3*t^6.61 + t^6.65 + t^6.7 + t^6.74 + t^6.78 + 2*t^6.83 + t^6.87 + 2*t^6.91 + t^6.96 + t^7. + 2*t^7.04 + t^7.13 + 2*t^7.17 + 2*t^7.22 + t^7.26 + 2*t^7.35 + 3*t^7.44 + t^7.48 + 2*t^7.52 + t^7.56 + t^7.61 + 3*t^7.65 + t^7.69 + t^7.74 + t^7.78 + 2*t^7.83 + t^7.87 + 2*t^7.96 + t^8. + 3*t^8.04 + t^8.17 + t^8.26 + t^8.3 + t^8.34 + t^8.35 - t^8.39 + t^8.44 + 2*t^8.52 + t^8.57 + t^8.61 + 4*t^8.65 + 2*t^8.7 + t^8.74 + 2*t^8.78 + t^8.82 + 4*t^8.87 + t^8.91 + t^8.95 + t^8.96 - t^4.35/y - t^6.43/y - t^6.61/y - t^6.74/y + t^7.35/y + t^7.48/y + t^7.56/y + t^7.65/y + t^7.74/y + t^7.87/y + t^7.96/y + (2*t^8.09)/y + t^8.17/y + (2*t^8.26)/y + t^8.35/y + (2*t^8.39)/y + (2*t^8.48)/y - t^8.52/y + (2*t^8.57)/y + t^8.61/y + (2*t^8.78)/y - t^8.82/y - t^8.87/y + (2*t^8.91)/y - t^4.35*y - t^6.43*y - t^6.61*y - t^6.74*y + t^7.35*y + t^7.48*y + t^7.56*y + t^7.65*y + t^7.74*y + t^7.87*y + t^7.96*y + 2*t^8.09*y + t^8.17*y + 2*t^8.26*y + t^8.35*y + 2*t^8.39*y + 2*t^8.48*y - t^8.52*y + 2*t^8.57*y + t^8.61*y + 2*t^8.78*y - t^8.82*y - t^8.87*y + 2*t^8.91*y | t^2.09/g1^12 + g1^10*t^2.26 + t^2.39/g1^8 + g1^3*t^2.48 + t^3. + g1^11*t^3.09 + g1^4*t^3.3 + t^3.52/g1^3 + g1*t^3.83 + g1^5*t^4.13 + t^4.17/g1^24 + (2*t^4.35)/g1^2 + g1^9*t^4.44 + t^4.48/g1^20 + g1^20*t^4.52 + t^4.56/g1^9 + g1^2*t^4.65 + g1^13*t^4.74 + t^4.78/g1^16 + t^4.87/g1^5 + 2*g1^6*t^4.96 + t^5.09/g1^12 + t^5.17/g1 + g1^10*t^5.26 + g1^21*t^5.35 + t^5.39/g1^8 + g1^3*t^5.48 + 2*g1^14*t^5.57 + t^5.61/g1^15 + t^5.7/g1^4 + 2*g1^7*t^5.78 + t^5.91/g1^11 - t^6. + g1^11*t^6.09 + g1^22*t^6.18 + t^6.22/g1^7 + t^6.26/g1^36 + g1^4*t^6.3 + 2*g1^15*t^6.39 + (2*t^6.43)/g1^14 + t^6.52/g1^3 + t^6.56/g1^32 + 3*g1^8*t^6.61 + t^6.65/g1^21 + g1^19*t^6.7 + t^6.74/g1^10 + g1^30*t^6.78 + 2*g1*t^6.83 + t^6.87/g1^28 + 2*g1^12*t^6.91 + t^6.96/g1^17 + g1^23*t^7. + (2*t^7.04)/g1^6 + g1^5*t^7.13 + (2*t^7.17)/g1^24 + 2*g1^16*t^7.22 + t^7.26/g1^13 + (2*t^7.35)/g1^2 + 3*g1^9*t^7.44 + t^7.48/g1^20 + 2*g1^20*t^7.52 + t^7.56/g1^9 + g1^31*t^7.61 + 3*g1^2*t^7.65 + t^7.69/g1^27 + g1^13*t^7.74 + t^7.78/g1^16 + 2*g1^24*t^7.83 + t^7.87/g1^5 + 2*g1^6*t^7.96 + t^8./g1^23 + 3*g1^17*t^8.04 + t^8.17/g1 + g1^10*t^8.26 + t^8.3/g1^19 + t^8.34/g1^48 + g1^21*t^8.35 - t^8.39/g1^8 + g1^32*t^8.44 + (2*t^8.52)/g1^26 + g1^14*t^8.57 + t^8.61/g1^15 + t^8.65/g1^44 + 3*g1^25*t^8.65 + (2*t^8.7)/g1^4 + t^8.74/g1^33 + 2*g1^7*t^8.78 + t^8.82/g1^22 + 4*g1^18*t^8.87 + t^8.91/g1^11 + t^8.95/g1^40 + g1^29*t^8.96 - t^4.35/(g1^2*y) - t^6.43/(g1^14*y) - (g1^8*t^6.61)/y - t^6.74/(g1^10*y) + t^7.35/(g1^2*y) + t^7.48/(g1^20*y) + t^7.56/(g1^9*y) + (g1^2*t^7.65)/y + (g1^13*t^7.74)/y + t^7.87/(g1^5*y) + (g1^6*t^7.96)/y + (2*t^8.09)/(g1^12*y) + t^8.17/(g1*y) + (2*g1^10*t^8.26)/y + (g1^21*t^8.35)/y + (2*t^8.39)/(g1^8*y) + (2*g1^3*t^8.48)/y - t^8.52/(g1^26*y) + (2*g1^14*t^8.57)/y + t^8.61/(g1^15*y) + (2*g1^7*t^8.78)/y - t^8.82/(g1^22*y) - (g1^18*t^8.87)/y + (2*t^8.91)/(g1^11*y) - (t^4.35*y)/g1^2 - (t^6.43*y)/g1^14 - g1^8*t^6.61*y - (t^6.74*y)/g1^10 + (t^7.35*y)/g1^2 + (t^7.48*y)/g1^20 + (t^7.56*y)/g1^9 + g1^2*t^7.65*y + g1^13*t^7.74*y + (t^7.87*y)/g1^5 + g1^6*t^7.96*y + (2*t^8.09*y)/g1^12 + (t^8.17*y)/g1 + 2*g1^10*t^8.26*y + g1^21*t^8.35*y + (2*t^8.39*y)/g1^8 + 2*g1^3*t^8.48*y - (t^8.52*y)/g1^26 + 2*g1^14*t^8.57*y + (t^8.61*y)/g1^15 + 2*g1^7*t^8.78*y - (t^8.82*y)/g1^22 - g1^18*t^8.87*y + (2*t^8.91*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5885 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5X_1$ + $ M_8\phi_1q_1^2$ + $ M_4M_9$ | 0.7054 | 0.8977 | 0.7858 | [X:[1.3735], M:[0.8024, 1.0988, 1.0, 1.1759, 0.6265, 0.8241, 0.747, 0.7036, 0.8241], q:[0.4229, 0.7747], qb:[0.4012, 0.5988], phi:[0.4506]] | t^2.11 + t^2.24 + t^2.41 + 2*t^2.47 + t^3. + t^3.07 + t^3.3 + t^3.82 + t^4.12 + t^4.22 + 2*t^4.35 + t^4.42 + t^4.48 + t^4.52 + 2*t^4.58 + t^4.65 + 2*t^4.71 + t^4.81 + 2*t^4.88 + 4*t^4.94 + t^5.11 + t^5.18 + t^5.24 + t^5.31 + t^5.41 + 2*t^5.47 + 3*t^5.54 + t^5.7 + 2*t^5.77 - 2*t^6. - t^4.35/y - t^4.35*y | detail | |
| 5886 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5X_1$ + $ M_8\phi_1q_1^2$ + $ M_9\phi_1q_1\tilde{q}_1$ | 0.7104 | 0.9088 | 0.7817 | [X:[1.3774], M:[0.7961, 1.102, 1.0, 1.1735, 0.6226, 0.8265, 0.7549, 0.6941, 0.7245], q:[0.4284, 0.7755], qb:[0.398, 0.602], phi:[0.449]] | t^2.08 + t^2.17 + t^2.26 + t^2.39 + t^2.48 + t^3. + t^3.09 + t^3.31 + t^3.52 + t^4.13 + t^4.16 + t^4.26 + 3*t^4.35 + 2*t^4.44 + t^4.47 + t^4.53 + 2*t^4.56 + 2*t^4.65 + t^4.74 + t^4.78 + t^4.87 + 2*t^4.96 + t^5.08 + 2*t^5.17 + 2*t^5.26 + t^5.36 + t^5.39 + 2*t^5.48 + 2*t^5.57 + t^5.6 + 2*t^5.69 + 2*t^5.79 - t^6. - t^4.35/y - t^4.35*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2372 | 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_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5X_1$ | 0.6699 | 0.8329 | 0.8044 | [X:[1.3728], M:[0.8036, 1.0982, 1.0, 1.1763, 0.6272, 0.8237, 0.7455], q:[0.4219, 0.7746], qb:[0.4018, 0.5982], phi:[0.4509]] | t^2.24 + t^2.41 + t^2.47 + t^3. + t^3.06 + t^3.29 + t^3.53 + t^3.82 + t^3.88 + t^4.12 + t^4.35 + t^4.41 + t^4.47 + t^4.65 + t^4.71 + t^4.82 + t^4.88 + 2*t^4.94 + t^5.24 + t^5.3 + t^5.47 + 2*t^5.53 + t^5.71 + 2*t^5.77 - t^6. - t^4.35/y - t^4.35*y | detail |