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 |
|---|---|---|---|---|---|---|---|---|---|
| 594 | 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_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ | 0.7114 | 0.8732 | 0.8147 | [X:[], M:[1.059, 0.8231, 0.9476, 0.9345, 1.0], q:[0.4967, 0.4443], qb:[0.5557, 0.6212], phi:[0.4705]] | [X:[], M:[[2, 2], [-6, -6], [-10, 2], [6, -6], [0, 0]], q:[[4, -2], [-6, 0]], qb:[[6, 0], [0, 6]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_5$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_4^2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_3^2$, $ M_5\phi_1^2$, $ M_1M_4$ | . | -2 | t^2.47 + t^2.8 + t^2.82 + t^2.84 + t^3. + t^3.18 + t^3.35 + t^4.08 + t^4.23 + t^4.39 + t^4.41 + t^4.57 + t^4.61 + t^4.75 + t^4.77 + 2*t^4.94 + t^5.14 + t^5.27 + t^5.29 + t^5.31 + t^5.61 + 3*t^5.65 + t^5.69 + t^5.82 + t^5.98 - 2*t^6. + t^6.02 + t^6.18 - t^6.33 + t^6.35 - t^6.37 + t^6.55 + t^6.7 + t^6.71 + t^6.86 + t^6.88 + t^6.9 + t^6.92 + t^7.04 + t^7.06 + 2*t^7.08 + t^7.2 + 2*t^7.21 + 2*t^7.23 + t^7.37 + t^7.39 + 2*t^7.41 + t^7.43 + t^7.45 + t^7.55 + t^7.57 + t^7.59 + t^7.61 + t^7.74 + 2*t^7.75 + t^7.76 + t^7.78 + t^7.96 + t^7.98 + t^8.08 + 4*t^8.12 + 2*t^8.16 + t^8.41 + 2*t^8.45 - t^8.47 + 4*t^8.49 + t^8.53 + t^8.65 - t^8.67 + t^8.69 + 2*t^8.78 - 3*t^8.8 - 3*t^8.84 + t^8.86 + t^8.96 - t^8.98 - t^4.41/y - t^6.88/y - t^7.21/y - t^7.25/y + t^7.57/y + t^7.61/y + t^7.94/y + t^8.27/y + t^8.29/y + t^8.31/y + t^8.47/y + t^8.63/y + (2*t^8.65)/y + t^8.67/y + t^8.8/y + (2*t^8.82)/y + t^8.84/y + t^8.98/y - t^4.41*y - t^6.88*y - t^7.21*y - t^7.25*y + t^7.57*y + t^7.61*y + t^7.94*y + t^8.27*y + t^8.29*y + t^8.31*y + t^8.47*y + t^8.63*y + 2*t^8.65*y + t^8.67*y + t^8.8*y + 2*t^8.82*y + t^8.84*y + t^8.98*y | t^2.47/(g1^6*g2^6) + (g1^6*t^2.8)/g2^6 + t^2.82/(g1^2*g2^2) + (g2^2*t^2.84)/g1^10 + t^3. + g1^2*g2^2*t^3.18 + g1^4*g2^4*t^3.35 + t^4.08/(g1^13*g2) + t^4.23/(g1^3*g2^3) + (g1^7*t^4.39)/g2^5 + t^4.41/(g1*g2) + (g1^9*t^4.57)/g2^3 + (g2^5*t^4.61)/g1^7 + (g1^11*t^4.75)/g2 + g1^3*g2^3*t^4.77 + t^4.94/(g1^12*g2^12) + g1^5*g2^5*t^4.94 + (g2^11*t^5.14)/g1 + t^5.27/g2^12 + t^5.29/(g1^8*g2^8) + t^5.31/(g1^16*g2^4) + (g1^12*t^5.61)/g2^12 + (3*t^5.65)/(g1^4*g2^4) + (g2^4*t^5.69)/g1^20 + t^5.82/(g1^2*g2^2) + (g1^8*t^5.98)/g2^4 - 2*t^6. + (g2^4*t^6.02)/g1^8 + g1^2*g2^2*t^6.18 - g1^12*t^6.33 + g1^4*g2^4*t^6.35 - (g2^8*t^6.37)/g1^4 + t^6.55/(g1^19*g2^7) + t^6.7/(g1^9*g2^9) + g1^8*g2^8*t^6.71 + (g1*t^6.86)/g2^11 + t^6.88/(g1^7*g2^7) + t^6.9/(g1^15*g2^3) + (g2*t^6.92)/g1^23 + (g1^3*t^7.04)/g2^9 + t^7.06/(g1^5*g2^5) + (2*t^7.08)/(g1^13*g2) + (g1^13*t^7.2)/g2^11 + (2*g1^5*t^7.21)/g2^7 + (2*t^7.23)/(g1^3*g2^3) + (g1^15*t^7.37)/g2^9 + (g1^7*t^7.39)/g2^5 + t^7.41/(g1^18*g2^18) + t^7.41/(g1*g2) + (g2^3*t^7.43)/g1^9 + (g2^7*t^7.45)/g1^17 + (g1^17*t^7.55)/g2^7 + (g1^9*t^7.57)/g2^3 + g1*g2*t^7.59 + (g2^5*t^7.61)/g1^7 + t^7.74/(g1^6*g2^18) + (2*g1^11*t^7.75)/g2 + t^7.76/(g1^14*g2^14) + t^7.78/(g1^22*g2^10) + (g2^9*t^7.96)/g1^3 + (g2^13*t^7.98)/g1^11 + (g1^6*t^8.08)/g2^18 + (3*t^8.12)/(g1^10*g2^10) + g1^7*g2^7*t^8.12 + (2*t^8.16)/(g1^26*g2^2) + (g1^18*t^8.41)/g2^18 + (2*g1^2*t^8.45)/g2^10 - t^8.47/(g1^6*g2^6) + (3*t^8.49)/(g1^14*g2^2) + g1^3*g2^15*t^8.49 + (g2^6*t^8.53)/g1^30 + t^8.65/(g1^4*g2^4) - t^8.67/g1^12 + (g2^4*t^8.69)/g1^20 + (2*g1^14*t^8.78)/g2^10 - (3*g1^6*t^8.8)/g2^6 - (3*g2^2*t^8.84)/g1^10 + (g2^6*t^8.86)/g1^18 + (g1^16*t^8.96)/g2^8 - (g1^8*t^8.98)/g2^4 - t^4.41/(g1*g2*y) - t^6.88/(g1^7*g2^7*y) - (g1^5*t^7.21)/(g2^7*y) - (g2*t^7.25)/(g1^11*y) + (g1^9*t^7.57)/(g2^3*y) + (g2^5*t^7.61)/(g1^7*y) + (g1^5*g2^5*t^7.94)/y + t^8.27/(g2^12*y) + t^8.29/(g1^8*g2^8*y) + t^8.31/(g1^16*g2^4*y) + t^8.47/(g1^6*g2^6*y) + (g1^4*t^8.63)/(g2^8*y) + (2*t^8.65)/(g1^4*g2^4*y) + t^8.67/(g1^12*y) + (g1^6*t^8.8)/(g2^6*y) + (2*t^8.82)/(g1^2*g2^2*y) + (g2^2*t^8.84)/(g1^10*y) + (g1^8*t^8.98)/(g2^4*y) - (t^4.41*y)/(g1*g2) - (t^6.88*y)/(g1^7*g2^7) - (g1^5*t^7.21*y)/g2^7 - (g2*t^7.25*y)/g1^11 + (g1^9*t^7.57*y)/g2^3 + (g2^5*t^7.61*y)/g1^7 + g1^5*g2^5*t^7.94*y + (t^8.27*y)/g2^12 + (t^8.29*y)/(g1^8*g2^8) + (t^8.31*y)/(g1^16*g2^4) + (t^8.47*y)/(g1^6*g2^6) + (g1^4*t^8.63*y)/g2^8 + (2*t^8.65*y)/(g1^4*g2^4) + (t^8.67*y)/g1^12 + (g1^6*t^8.8*y)/g2^6 + (2*t^8.82*y)/(g1^2*g2^2) + (g2^2*t^8.84*y)/g1^10 + (g1^8*t^8.98*y)/g2^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 934 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_1M_6$ | 0.7172 | 0.8839 | 0.8115 | [X:[], M:[1.0665, 0.8005, 0.9418, 0.9252, 1.0, 0.9335], q:[0.4959, 0.4376], qb:[0.5624, 0.6372], phi:[0.4667]] | t^2.4 + t^2.78 + 2*t^2.8 + t^2.83 + t^3. + t^3.4 + t^4.03 + t^4.2 + t^4.38 + t^4.4 + t^4.57 + t^4.62 + t^4.77 + 2*t^4.8 + t^5. + t^5.18 + 2*t^5.2 + t^5.22 + t^5.23 + t^5.55 + t^5.58 + 4*t^5.6 + t^5.63 + t^5.65 + 2*t^5.8 - 3*t^6. - t^4.4/y - t^4.4*y | detail | |
| 935 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.7231 | 0.895 | 0.8079 | [X:[], M:[1.0717, 0.7848, 0.9379, 0.9187, 1.0, 0.8566], q:[0.4952, 0.4331], qb:[0.5669, 0.6482], phi:[0.4641]] | t^2.35 + t^2.57 + t^2.76 + t^2.78 + t^2.81 + t^3. + t^3.22 + t^3.99 + t^4.18 + t^4.36 + t^4.39 + t^4.58 + t^4.64 + t^4.71 + t^4.79 + t^4.82 + t^4.92 + t^5.04 + t^5.11 + 2*t^5.14 + t^5.17 + t^5.28 + t^5.33 + t^5.35 + t^5.38 + t^5.51 + 4*t^5.57 + t^5.63 + t^5.78 + t^5.97 - 2*t^6. - t^4.39/y - t^4.39*y | detail | |
| 1939 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ | 0.591 | 0.7285 | 0.8113 | [X:[1.6], M:[1.2, 0.4, 0.8667, 0.7333, 1.0], q:[0.4667, 0.3333], qb:[0.6667, 0.9333], phi:[0.4]] | t^2.2 + t^2.4 + t^2.6 + t^3. + t^3.2 + 2*t^3.6 + t^4. + t^4.2 + t^4.4 + t^4.6 + 3*t^4.8 + t^5. + 2*t^5.2 + t^5.4 + t^5.6 + 2*t^5.8 - t^4.2/y - t^4.2*y | detail | {a: 591/1000, c: 1457/2000, X1: 8/5, M1: 6/5, M2: 2/5, M3: 13/15, M4: 11/15, M5: 1, q1: 7/15, q2: 1/3, qb1: 2/3, qb2: 14/15, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 369 | 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_5q_2\tilde{q}_1$ + $ M_5^2$ | 0.7466 | 0.9183 | 0.813 | [X:[], M:[0.8355, 0.8355, 0.8355, 0.8355, 1.0], q:[0.6645, 0.5], qb:[0.5, 0.6645], phi:[0.4177]] | 5*t^2.51 + t^3. + t^3.99 + 3*t^4.25 + 4*t^4.75 + 15*t^5.01 + 3*t^5.24 + t^5.51 - 7*t^6. - t^4.25/y - t^4.25*y | detail |