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 |
|---|---|---|---|---|---|---|---|---|---|
| 2366 | 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$ + $ \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]] | [X:[[22]], M:[[-22], [4], [14], [6], [-14], [-6], [-14]], q:[[5], [17]], qb:[[-11], [-3]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_7$, $ \phi_1\tilde{q}_1^2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_6$, $ X_1$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_4M_5$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ M_4\phi_1q_2^2$ | . | -2 | 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. + 2*t^6.18 + 2*t^6.36 + t^6.54 + t^6.55 + 2*t^6.72 + 3*t^6.91 + t^7.1 + 2*t^7.27 + t^7.28 + t^7.46 + t^7.63 + t^7.64 + 2*t^8. + 2*t^8.01 - 2*t^8.18 + t^8.54 + 2*t^8.72 + t^8.73 - 5*t^8.91 - t^4.27/y - t^7.18/y + t^7.37/y + (2*t^8.09)/y + t^8.45/y + (2*t^8.64)/y + t^8.81/y + t^8.82/y - t^4.27*y - t^7.18*y + t^7.37*y + 2*t^8.09*y + t^8.45*y + 2*t^8.64*y + t^8.81*y + t^8.82*y | g1^6*t^2.18 + (2*t^2.91)/g1^14 + t^3.27/g1^24 + 2*g1^4*t^3.46 + g1^32*t^3.64 + t^3.82/g1^6 + g1^22*t^4. + g1^12*t^4.37 + g1^2*t^4.73 + (2*t^5.09)/g1^8 + g1^10*t^5.64 + (2*t^5.81)/g1^28 + g1^38*t^5.82 - 2*t^6. + (2*t^6.18)/g1^38 + (2*t^6.36)/g1^10 + t^6.54/g1^48 + g1^18*t^6.55 + (2*t^6.72)/g1^20 + 3*g1^8*t^6.91 + g1^36*t^7.1 + (2*t^7.27)/g1^2 + g1^64*t^7.28 + g1^26*t^7.46 + t^7.63/g1^12 + g1^54*t^7.64 + (2*t^8.)/g1^22 + 2*g1^44*t^8.01 - 2*g1^6*t^8.18 + t^8.54/g1^4 + (2*t^8.72)/g1^42 + g1^24*t^8.73 - (5*t^8.91)/g1^14 - t^4.27/(g1^2*y) - t^7.18/(g1^16*y) + (g1^12*t^7.37)/y + (2*t^8.09)/(g1^8*y) + t^8.45/(g1^18*y) + (2*g1^10*t^8.64)/y + t^8.81/(g1^28*y) + (g1^38*t^8.82)/y - (t^4.27*y)/g1^2 - (t^7.18*y)/g1^16 + g1^12*t^7.37*y + (2*t^8.09*y)/g1^8 + (t^8.45*y)/g1^18 + 2*g1^10*t^8.64*y + (t^8.81*y)/g1^28 + g1^38*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 4363 | $M_1q_1q_2$ + $ 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$ + $ M_6M_8$ | 0.572 | 0.7141 | 0.801 | [X:[1.3298], M:[0.6702, 1.1509, 1.028, 0.7263, 0.972, 1.2737, 0.972, 0.7263], q:[0.9386, 0.3912], qb:[0.3351, 0.6369], phi:[0.4246]] | 2*t^2.18 + 2*t^2.92 + t^3.28 + 2*t^3.45 + t^3.62 + t^3.99 + 3*t^4.36 + t^4.73 + 4*t^5.09 + t^5.46 + 3*t^5.63 + 2*t^5.8 + 2*t^5.83 - 3*t^6. - t^4.27/y - t^4.27*y | detail | |
| 4362 | $M_1q_1q_2$ + $ 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$ + $ M_8\phi_1q_2^2$ | 0.5706 | 0.7117 | 0.8018 | [X:[1.3642], M:[0.6358, 1.1571, 1.05, 0.7357, 0.95, 1.2643, 0.95, 0.7429], q:[0.9464, 0.4178], qb:[0.3179, 0.6321], phi:[0.4214]] | t^2.21 + t^2.23 + 2*t^2.85 + t^3.17 + 2*t^3.47 + t^3.79 + t^4.09 + t^4.41 + t^4.44 + t^4.46 + t^4.74 + 2*t^5.06 + 2*t^5.08 + t^5.4 + t^5.68 + 4*t^5.7 - 2*t^6. - t^4.26/y - t^4.26*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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. - t^4.45/y - t^4.45*y | detail |