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 |
|---|---|---|---|---|---|---|---|---|---|
| 2499 | 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_1M_3$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_6M_7$ | 0.695 | 0.8522 | 0.8155 | [X:[], M:[1.0423, 0.9365, 0.9577, 1.0212, 1.0, 0.9788, 1.0212], q:[0.5, 0.4577], qb:[0.5423, 0.5212], phi:[0.4947]] | [X:[], M:[[8], [-12], [-8], [4], [0], [-4], [4]], q:[[0], [-8]], qb:[[8], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ \phi_1^2$, $ M_5$, $ M_4$, $ M_7$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_3$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ M_2M_7$, $ M_1M_2$, $ M_3M_4$, $ M_3M_7$, $ \phi_1^4$, $ M_5\phi_1^2$ | . | -2 | t^2.81 + t^2.87 + t^2.97 + t^3. + 2*t^3.06 + t^3.13 + t^4.23 + t^4.36 + t^4.42 + 2*t^4.48 + t^4.55 + 2*t^4.61 + t^4.67 + t^4.74 + t^5.62 + t^5.68 + t^5.78 + t^5.84 + t^5.87 + 2*t^5.94 + t^5.97 - 2*t^6. + 2*t^6.03 - t^6.06 + t^6.1 + 2*t^6.13 + t^6.19 + t^7.04 + t^7.1 + t^7.17 + t^7.2 + 2*t^7.23 - t^7.26 + 3*t^7.29 + t^7.33 + 2*t^7.36 + 2*t^7.42 + t^7.45 + 3*t^7.48 - t^7.52 + 3*t^7.55 + t^7.58 + 3*t^7.61 - t^7.64 + 3*t^7.67 + 3*t^7.74 - t^7.77 + 2*t^7.8 + t^7.87 + t^8.43 + t^8.46 + t^8.49 + 2*t^8.59 + 2*t^8.65 + 2*t^8.71 + t^8.75 + t^8.78 - 2*t^8.81 + 4*t^8.84 - 5*t^8.87 + 4*t^8.9 - 2*t^8.94 + 2*t^8.97 - t^4.48/y - t^7.29/y + t^7.42/y - t^7.45/y + t^7.52/y - t^7.55/y + t^7.67/y + t^8.68/y + t^8.78/y + t^8.81/y + t^8.84/y + (3*t^8.87)/y + (3*t^8.94)/y + t^8.97/y - t^4.48*y - t^7.29*y + t^7.42*y - t^7.45*y + t^7.52*y - t^7.55*y + t^7.67*y + t^8.68*y + t^8.78*y + t^8.81*y + t^8.84*y + 3*t^8.87*y + 3*t^8.94*y + t^8.97*y | t^2.81/g1^12 + t^2.87/g1^8 + t^2.97/g1^2 + t^3. + 2*g1^4*t^3.06 + g1^8*t^3.13 + t^4.23/g1^17 + t^4.36/g1^9 + t^4.42/g1^5 + (2*t^4.48)/g1 + g1^3*t^4.55 + 2*g1^7*t^4.61 + g1^11*t^4.67 + g1^15*t^4.74 + t^5.62/g1^24 + t^5.68/g1^20 + t^5.78/g1^14 + t^5.84/g1^10 + t^5.87/g1^8 + (2*t^5.94)/g1^4 + t^5.97/g1^2 - 2*t^6. + 2*g1^2*t^6.03 - g1^4*t^6.06 + g1^6*t^6.1 + 2*g1^8*t^6.13 + g1^12*t^6.19 + t^7.04/g1^29 + t^7.1/g1^25 + t^7.17/g1^21 + t^7.2/g1^19 + (2*t^7.23)/g1^17 - t^7.26/g1^15 + (3*t^7.29)/g1^13 + t^7.33/g1^11 + (2*t^7.36)/g1^9 + (2*t^7.42)/g1^5 + t^7.45/g1^3 + (3*t^7.48)/g1 - g1*t^7.52 + 3*g1^3*t^7.55 + g1^5*t^7.58 + 3*g1^7*t^7.61 - g1^9*t^7.64 + 3*g1^11*t^7.67 + 3*g1^15*t^7.74 - g1^17*t^7.77 + 2*g1^19*t^7.8 + g1^23*t^7.87 + t^8.43/g1^36 + t^8.46/g1^34 + t^8.49/g1^32 + (2*t^8.59)/g1^26 + (2*t^8.65)/g1^22 + (2*t^8.71)/g1^18 + t^8.75/g1^16 + t^8.78/g1^14 - (2*t^8.81)/g1^12 + (4*t^8.84)/g1^10 - (5*t^8.87)/g1^8 + (4*t^8.9)/g1^6 - (2*t^8.94)/g1^4 + (2*t^8.97)/g1^2 - t^4.48/(g1*y) - t^7.29/(g1^13*y) + t^7.42/(g1^5*y) - t^7.45/(g1^3*y) + (g1*t^7.52)/y - (g1^3*t^7.55)/y + (g1^11*t^7.67)/y + t^8.68/(g1^20*y) + t^8.78/(g1^14*y) + t^8.81/(g1^12*y) + t^8.84/(g1^10*y) + (3*t^8.87)/(g1^8*y) + (3*t^8.94)/(g1^4*y) + t^8.97/(g1^2*y) - (t^4.48*y)/g1 - (t^7.29*y)/g1^13 + (t^7.42*y)/g1^5 - (t^7.45*y)/g1^3 + g1*t^7.52*y - g1^3*t^7.55*y + g1^11*t^7.67*y + (t^8.68*y)/g1^20 + (t^8.78*y)/g1^14 + (t^8.81*y)/g1^12 + (t^8.84*y)/g1^10 + (3*t^8.87*y)/g1^8 + (3*t^8.94*y)/g1^4 + (t^8.97*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 |
|---|---|---|---|---|---|---|---|---|
| 4542 | $M_1q_1q_2$ + $ 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_1M_3$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_6M_7$ + $ M_1M_8$ | 0.6999 | 0.8617 | 0.8123 | [X:[], M:[1.0643, 0.9035, 0.9357, 1.0322, 1.0, 0.9678, 1.0322, 0.9357], q:[0.5, 0.4357], qb:[0.5643, 0.5322], phi:[0.492]] | t^2.71 + 2*t^2.81 + t^2.95 + t^3. + 2*t^3.1 + t^4.09 + t^4.28 + t^4.38 + 2*t^4.48 + t^4.57 + 2*t^4.67 + t^4.77 + t^4.86 + t^5.42 + 2*t^5.52 + 2*t^5.61 + t^5.66 + 2*t^5.76 + 2*t^5.81 + 3*t^5.9 + t^5.95 - 3*t^6. - t^4.48/y - t^4.48*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1429 | 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_1M_3$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ | 0.6972 | 0.8564 | 0.8141 | [X:[], M:[1.0538, 0.9194, 0.9462, 1.0269, 1.0, 0.9731], q:[0.5, 0.4462], qb:[0.5538, 0.5269], phi:[0.4933]] | t^2.76 + t^2.84 + t^2.92 + t^2.96 + t^3. + t^3.08 + t^3.16 + t^4.16 + t^4.32 + t^4.4 + 2*t^4.48 + t^4.56 + 2*t^4.64 + t^4.72 + t^4.8 + t^5.52 + t^5.6 + t^5.68 + t^5.72 + t^5.76 + t^5.8 + t^5.84 + t^5.88 + 2*t^5.92 + t^5.96 - t^6. - t^4.48/y - t^4.48*y | detail |