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 |
|---|---|---|---|---|---|---|---|---|---|
| 2830 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1q_1^2$ | 0.6521 | 0.8157 | 0.7994 | [X:[1.6123], M:[0.8368, 0.7142, 1.1632, 0.3877, 0.8368, 0.7689], q:[0.4217, 0.7415], qb:[0.4151, 0.8707], phi:[0.3877]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [0, 3], [-2, 9]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_5$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_2^2$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_1M_6$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ X_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_6q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_6\phi_1\tilde{q}_1^2$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$ | $\phi_1^3q_1\tilde{q}_1$ | -2 | t^2.14 + t^2.31 + t^2.33 + 2*t^2.51 + t^3.47 + t^3.65 + t^3.67 + t^3.88 + t^4.28 + t^4.45 + t^4.47 + t^4.61 + t^4.63 + 3*t^4.65 + 2*t^4.82 + 3*t^4.84 + 3*t^5.02 + t^5.61 + t^5.78 + t^5.8 + t^5.96 + 3*t^5.98 - 2*t^6. + 2*t^6.16 + 2*t^6.18 + 2*t^6.39 + t^6.43 + t^6.59 + t^6.61 + t^6.76 + t^6.78 + 3*t^6.8 + t^6.92 + 2*t^6.94 + 2*t^6.96 + 3*t^6.98 + 3*t^7.12 + 2*t^7.14 + 3*t^7.16 - t^7.18 + t^7.31 + 3*t^7.33 + 3*t^7.35 - 2*t^7.37 + 4*t^7.53 + 2*t^7.75 + t^7.92 + t^7.94 + t^8.08 + t^8.1 + 2*t^8.12 - 3*t^8.14 + t^8.27 + 3*t^8.29 - 3*t^8.33 - t^8.35 + 2*t^8.47 + 5*t^8.49 - 6*t^8.51 - t^8.53 + t^8.57 + 3*t^8.67 + 2*t^8.69 + t^8.73 + t^8.75 + 4*t^8.9 + t^8.92 + 3*t^8.94 - t^4.16/y - t^6.31/y - t^6.47/y - t^6.49/y - t^6.67/y + t^7.45/y + t^7.47/y + t^7.63/y + (3*t^7.65)/y + (2*t^7.82)/y + (3*t^7.84)/y + t^7.86/y + (2*t^8.02)/y - t^8.45/y - t^8.63/y + t^8.8/y - t^8.82/y + t^8.96/y + (3*t^8.98)/y - t^4.16*y - t^6.31*y - t^6.47*y - t^6.49*y - t^6.67*y + t^7.45*y + t^7.47*y + t^7.63*y + 3*t^7.65*y + 2*t^7.82*y + 3*t^7.84*y + t^7.86*y + 2*t^8.02*y - t^8.45*y - t^8.63*y + t^8.8*y - t^8.82*y + t^8.96*y + 3*t^8.98*y | t^2.14/g2^7 + (g2^9*t^2.31)/g1^2 + t^2.33/g2^2 + 2*g2^3*t^2.51 + (g2^8*t^3.47)/g1^2 + (g2^13*t^3.65)/g1^2 + g2^2*t^3.67 + (g1^2*t^3.88)/g2^4 + t^4.28/g2^14 + (g2^2*t^4.45)/g1^2 + t^4.47/g2^9 + (g2^18*t^4.61)/g1^4 + (g2^7*t^4.63)/g1^2 + (3*t^4.65)/g2^4 + (2*g2^12*t^4.82)/g1^2 + 3*g2*t^4.84 + 3*g2^6*t^5.02 + (g2*t^5.61)/g1^2 + (g2^17*t^5.78)/g1^4 + (g2^6*t^5.8)/g1^2 + (g2^22*t^5.96)/g1^4 + (3*g2^11*t^5.98)/g1^2 - 2*t^6. + (2*g2^16*t^6.16)/g1^2 + 2*g2^5*t^6.18 + (2*g1^2*t^6.39)/g2 + t^6.43/g2^21 + t^6.59/(g1^2*g2^5) + t^6.61/g2^16 + (g2^11*t^6.76)/g1^4 + t^6.78/g1^2 + (3*t^6.8)/g2^11 + (g2^27*t^6.92)/g1^6 + (2*g2^16*t^6.94)/g1^4 + (2*g2^5*t^6.96)/g1^2 + (3*t^6.98)/g2^6 + (3*g2^21*t^7.12)/g1^4 + (2*g2^10*t^7.14)/g1^2 + (3*t^7.16)/g2 - (g1^2*t^7.18)/g2^12 + (g2^26*t^7.31)/g1^4 + (3*g2^15*t^7.33)/g1^2 + 3*g2^4*t^7.35 - (2*g1^2*t^7.37)/g2^7 + 4*g2^9*t^7.53 + (g1^4*t^7.75)/g2^8 + t^7.75/(g1^2*g2^6) + (g2^10*t^7.92)/g1^4 + t^7.94/(g1^2*g2) + (g2^26*t^8.08)/g1^6 + (g2^15*t^8.1)/g1^4 + (2*g2^4*t^8.12)/g1^2 - (3*t^8.14)/g2^7 + (g2^31*t^8.27)/g1^6 + (3*g2^20*t^8.29)/g1^4 - (3*t^8.33)/g2^2 - (g1^2*t^8.35)/g2^13 + (2*g2^25*t^8.47)/g1^4 + (5*g2^14*t^8.49)/g1^2 - 6*g2^3*t^8.51 - (g1^2*t^8.53)/g2^8 + t^8.57/g2^28 + (3*g2^19*t^8.67)/g1^2 + 2*g2^8*t^8.69 + t^8.73/(g1^2*g2^12) + t^8.75/g2^23 + 3*g1^2*g2^2*t^8.9 + (g2^4*t^8.9)/g1^4 + t^8.92/(g1^2*g2^7) + (3*t^8.94)/g2^18 - t^4.16/(g2*y) - t^6.31/(g2^8*y) - (g2^8*t^6.47)/(g1^2*y) - t^6.49/(g2^3*y) - (g2^2*t^6.67)/y + (g2^2*t^7.45)/(g1^2*y) + t^7.47/(g2^9*y) + (g2^7*t^7.63)/(g1^2*y) + (3*t^7.65)/(g2^4*y) + (2*g2^12*t^7.82)/(g1^2*y) + (3*g2*t^7.84)/y + (g1^2*t^7.86)/(g2^10*y) + (2*g2^6*t^8.02)/y - t^8.45/(g2^15*y) - t^8.63/(g2^10*y) + (g2^6*t^8.8)/(g1^2*y) - t^8.82/(g2^5*y) + (g2^22*t^8.96)/(g1^4*y) + (3*g2^11*t^8.98)/(g1^2*y) - (t^4.16*y)/g2 - (t^6.31*y)/g2^8 - (g2^8*t^6.47*y)/g1^2 - (t^6.49*y)/g2^3 - g2^2*t^6.67*y + (g2^2*t^7.45*y)/g1^2 + (t^7.47*y)/g2^9 + (g2^7*t^7.63*y)/g1^2 + (3*t^7.65*y)/g2^4 + (2*g2^12*t^7.82*y)/g1^2 + 3*g2*t^7.84*y + (g1^2*t^7.86*y)/g2^10 + 2*g2^6*t^8.02*y - (t^8.45*y)/g2^15 - (t^8.63*y)/g2^10 + (g2^6*t^8.8*y)/g1^2 - (t^8.82*y)/g2^5 + (g2^22*t^8.96*y)/g1^4 + (3*g2^11*t^8.98*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3374 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.6509 | 0.8123 | 0.8013 | [X:[1.6121], M:[0.8363, 0.7152, 1.1637, 0.3879, 0.8363, 0.8061], q:[0.403, 0.7606], qb:[0.4333, 0.8515], phi:[0.3879]] | t^2.15 + t^2.33 + t^2.42 + 2*t^2.51 + t^3.58 + t^3.67 + 2*t^3.76 + t^4.29 + t^4.47 + t^4.56 + 3*t^4.65 + t^4.75 + 4*t^4.84 + 2*t^4.93 + 3*t^5.02 + t^5.73 + t^5.91 - t^6. - t^4.16/y - t^4.16*y | detail | |
| 3375 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1q_1^2$ + $ M_7q_1\tilde{q}_2$ | 0.6726 | 0.8559 | 0.7859 | [X:[1.6134], M:[0.8401, 0.7063, 1.1599, 0.3866, 0.8401, 0.7607, 0.6938], q:[0.4264, 0.7335], qb:[0.4138, 0.8799], phi:[0.3866]] | t^2.08 + t^2.12 + t^2.28 + t^2.32 + 2*t^2.52 + t^3.44 + t^3.64 + t^3.68 + t^4.16 + t^4.2 + t^4.24 + t^4.36 + 2*t^4.4 + t^4.44 + t^4.56 + 3*t^4.6 + 3*t^4.64 + 2*t^4.8 + 3*t^4.84 + 3*t^5.04 + t^5.52 + t^5.56 + 2*t^5.72 + 2*t^5.76 + t^5.92 + 3*t^5.96 - 2*t^6. - t^4.16/y - t^4.16*y | detail | |
| 3376 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1q_1^2$ + $ M_7q_2\tilde{q}_1$ | 0.667 | 0.8406 | 0.7935 | [X:[1.6116], M:[0.8348, 0.7187, 1.1652, 0.3884, 0.8348, 0.8058, 0.8058], q:[0.4029, 0.7623], qb:[0.4319, 0.8493], phi:[0.3884]] | t^2.16 + t^2.33 + 2*t^2.42 + 2*t^2.5 + t^3.67 + 2*t^3.76 + t^4.31 + t^4.49 + 2*t^4.57 + 3*t^4.66 + 2*t^4.75 + 6*t^4.83 + 4*t^4.92 + 3*t^5.01 - 2*t^6. - t^4.17/y - t^4.17*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1814 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.6348 | 0.784 | 0.8097 | [X:[1.6126], M:[0.8379, 0.7117, 1.1621, 0.3874, 0.8379], q:[0.4032, 0.759], qb:[0.4347, 0.8536], phi:[0.3874]] | t^2.13 + t^2.32 + 2*t^2.51 + 2*t^3.58 + t^3.68 + 2*t^3.77 + t^4.27 + t^4.46 + 3*t^4.65 + 3*t^4.84 + 3*t^5.03 + 2*t^5.72 + 2*t^5.91 - 2*t^6. - t^4.16/y - t^4.16*y | detail |