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 |
|---|---|---|---|---|---|---|---|---|---|
| 1331 | 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_3M_5$ + $ M_3M_7$ | 0.7046 | 0.8662 | 0.8135 | [X:[], M:[0.8644, 1.0339, 1.0679, 1.0001, 0.9321, 0.9999, 0.9321], q:[0.5677, 0.5679], qb:[0.4322, 0.4999], phi:[0.4831]] | [X:[], M:[[8, 0], [-2, 2], [-4, -4], [0, -8], [4, 4], [0, 8], [4, 4]], q:[[-4, 8], [-4, -8]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_7$, $ M_4$, $ M_6$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ M_1^2$, $ M_1M_5$, $ M_1M_7$, $ M_5^2$, $ M_1M_6$, $ M_5M_7$, $ M_7^2$, $ M_1M_2$, $ M_5M_6$, $ M_6M_7$, $ M_2M_5$, $ M_2M_7$ | $M_4^2$, $ M_6^2$, $ M_5q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$ | -1 | t^2.59 + 2*t^2.8 + 2*t^3. + t^3.1 + t^3.2 + t^4.04 + t^4.25 + 3*t^4.45 + 2*t^4.65 + 3*t^4.86 + t^5.19 + 2*t^5.39 + 3*t^5.59 + t^5.69 + 2*t^5.8 + 2*t^5.9 - t^6. + 2*t^6.1 - t^6.2 + t^6.3 - t^6.41 + t^6.64 + 3*t^6.84 + 5*t^7.04 + 6*t^7.25 + 6*t^7.45 + 5*t^7.65 + t^7.78 + 3*t^7.86 + 2*t^7.98 + t^8.06 + t^8.08 + 3*t^8.19 + 2*t^8.29 + 2*t^8.39 + 5*t^8.49 - 2*t^8.59 + 5*t^8.69 + t^8.7 - 7*t^8.8 + 8*t^8.9 - t^4.45/y - t^7.04/y - t^7.25/y + t^7.65/y + t^7.86/y + (2*t^8.39)/y + (3*t^8.59)/y + t^8.69/y + (5*t^8.8)/y + (2*t^8.9)/y - t^4.45*y - t^7.04*y - t^7.25*y + t^7.65*y + t^7.86*y + 2*t^8.39*y + 3*t^8.59*y + t^8.69*y + 5*t^8.8*y + 2*t^8.9*y | g1^8*t^2.59 + 2*g1^4*g2^4*t^2.8 + t^3./g2^8 + g2^8*t^3. + (g2^2*t^3.1)/g1^2 + (g2^12*t^3.2)/g1^4 + (g1^9*t^4.04)/g2 + g1^5*g2^3*t^4.25 + (g1*t^4.45)/g2^9 + 2*g1*g2^7*t^4.45 + t^4.65/(g1^3*g2^5) + (g2^11*t^4.65)/g1^3 + t^4.86/(g1^7*g2^17) + t^4.86/(g1^7*g2) + (g2^15*t^4.86)/g1^7 + g1^16*t^5.19 + 2*g1^12*g2^4*t^5.39 + 3*g1^8*g2^8*t^5.59 + g1^6*g2^2*t^5.69 + 2*g1^4*g2^12*t^5.8 + 2*g1^2*g2^6*t^5.9 - 3*t^6. + 2*g2^16*t^6. + t^6.1/(g1^2*g2^6) + (g2^10*t^6.1)/g1^2 - t^6.2/(g1^4*g2^12) - (g2^4*t^6.2)/g1^4 + (g2^20*t^6.2)/g1^4 + (g2^14*t^6.3)/g1^6 - t^6.41/(g1^8*g2^8) - (g2^8*t^6.41)/g1^8 + (g2^24*t^6.41)/g1^8 + (g1^17*t^6.64)/g2 + 3*g1^13*g2^3*t^6.84 + (g1^9*t^7.04)/g2^9 + 4*g1^9*g2^7*t^7.04 + (g1^5*t^7.25)/g2^5 + 5*g1^5*g2^11*t^7.25 + (g1*t^7.45)/g2^17 + (g1*t^7.45)/g2 + 4*g1*g2^15*t^7.45 + t^7.65/(g1^3*g2^13) + (4*g2^19*t^7.65)/g1^3 + g1^24*t^7.78 + t^7.86/(g1^7*g2^25) + (2*g2^23*t^7.86)/g1^7 + 2*g1^20*g2^4*t^7.98 + (g2^27*t^8.06)/g1^11 + (g1^18*t^8.08)/g2^2 + 3*g1^16*g2^8*t^8.19 + 2*g1^14*g2^2*t^8.29 - (2*g1^12*t^8.39)/g2^4 + 4*g1^12*g2^12*t^8.39 + (g1^10*t^8.49)/g2^10 + 4*g1^10*g2^6*t^8.49 - 5*g1^8*t^8.59 + 3*g1^8*g2^16*t^8.59 + 5*g1^6*g2^10*t^8.69 + (g1^6*t^8.7)/g2^6 - (g1^4*t^8.8)/g2^12 - 9*g1^4*g2^4*t^8.8 + 3*g1^4*g2^20*t^8.8 + (g1^2*t^8.9)/g2^18 + (2*g1^2*t^8.9)/g2^2 + 5*g1^2*g2^14*t^8.9 - (g1*t^4.45)/(g2*y) - (g1^9*t^7.04)/(g2*y) - (g1^5*g2^3*t^7.25)/y + t^7.65/(g1^3*g2^5*y) + t^7.86/(g1^7*g2*y) + (2*g1^12*g2^4*t^8.39)/y + (g1^8*t^8.59)/(g2^8*y) + (2*g1^8*g2^8*t^8.59)/y + (g1^6*g2^2*t^8.69)/y + (2*g1^4*t^8.8)/(g2^4*y) + (3*g1^4*g2^12*t^8.8)/y + (2*g1^2*g2^6*t^8.9)/y - (g1*t^4.45*y)/g2 - (g1^9*t^7.04*y)/g2 - g1^5*g2^3*t^7.25*y + (t^7.65*y)/(g1^3*g2^5) + (t^7.86*y)/(g1^7*g2) + 2*g1^12*g2^4*t^8.39*y + (g1^8*t^8.59*y)/g2^8 + 2*g1^8*g2^8*t^8.59*y + g1^6*g2^2*t^8.69*y + (2*g1^4*t^8.8*y)/g2^4 + 3*g1^4*g2^12*t^8.8*y + 2*g1^2*g2^6*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 2368 | $M_1q_1q_2$ + $ 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_3M_5$ + $ M_3M_7$ + $ M_6M_8$ | 0.7059 | 0.8668 | 0.8143 | [X:[], M:[0.8637, 1.0409, 1.0545, 0.9727, 0.9455, 1.0273, 0.9455, 0.9727], q:[0.5955, 0.5408], qb:[0.4319, 0.5137], phi:[0.4796]] | t^2.59 + 2*t^2.84 + 2*t^2.92 + t^3.12 + t^3.33 + t^4.03 + t^4.28 + t^4.36 + 2*t^4.52 + t^4.6 + t^4.68 + t^4.77 + t^4.85 + t^5.01 + t^5.18 + 2*t^5.43 + t^5.51 + 2*t^5.67 + t^5.71 + 2*t^5.75 + 2*t^5.84 + 2*t^5.96 - 4*t^6. - t^4.44/y - t^4.44*y | detail | |
| 2366 | $M_1q_1q_2$ + $ 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_3M_5$ + $ M_3M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1X_1$ | 0.5521 | 0.6771 | 0.8154 | [X:[1.3342], M:[0.6658, 1.1517, 1.0309, 0.7275, 0.9691, 1.2725, 0.9691], q:[0.9396, 0.3946], qb:[0.3329, 0.6362], phi:[0.4242]] | t^2.18 + 2*t^2.91 + t^3.27 + 2*t^3.46 + t^3.64 + t^3.82 + t^4. + t^4.37 + t^4.73 + 2*t^5.09 + t^5.64 + 2*t^5.81 + t^5.82 - 2*t^6. - t^4.27/y - t^4.27*y | detail | |
| 2369 | $M_1q_1q_2$ + $ 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_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ | 0.6675 | 0.845 | 0.79 | [X:[], M:[0.7452, 1.0311, 1.1926, 1.1304, 0.8074, 0.8696, 0.8074], q:[0.497, 0.7578], qb:[0.3726, 0.4348], phi:[0.4845]] | t^2.24 + 2*t^2.42 + t^2.61 + t^2.8 + t^3.09 + t^3.39 + t^3.69 + t^3.88 + 2*t^4.06 + t^4.25 + t^4.44 + t^4.47 + 2*t^4.66 + 4*t^4.84 + 3*t^5.03 + 3*t^5.22 + t^5.33 + t^5.4 + 2*t^5.52 + t^5.59 + t^5.7 + t^5.89 + t^5.92 - 2*t^6. - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 836 | 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_3M_5$ | 0.6993 | 0.8557 | 0.8173 | [X:[], M:[0.8954, 1.0294, 1.0457, 0.9868, 0.9543, 1.0132], q:[0.5655, 0.5391], qb:[0.4477, 0.5066], phi:[0.4853]] | t^2.69 + t^2.86 + t^2.96 + t^3.04 + t^3.09 + t^3.14 + t^3.22 + t^4.14 + t^4.32 + t^4.42 + 2*t^4.5 + t^4.59 + t^4.67 + t^4.69 + t^4.77 + t^4.85 + t^5.37 + t^5.55 + t^5.73 + t^5.77 + t^5.9 + t^5.95 - 2*t^6. - t^4.46/y - t^4.46*y | detail |