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 |
|---|---|---|---|---|---|---|---|---|---|
| 2011 | 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_6^2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.5708 | 0.6958 | 0.8203 | [X:[1.5954], M:[0.4046, 1.1909, 1.2137, 0.7863, 0.832, 1.0], q:[0.9046, 0.6909], qb:[0.3091, 0.4772], phi:[0.4046]] | [X:[[1]], M:[[-1], [2], [-3], [3], [-7], [0]], q:[[-1], [2]], qb:[[-2], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_6$, $ \phi_1\tilde{q}_1^2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ X_1$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ M_4M_6$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_2M_4$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | . | -1 | t^2.36 + t^2.5 + t^3. + t^3.07 + 2*t^3.57 + t^3.64 + t^4.08 + t^4.15 + t^4.72 + t^4.79 + t^4.85 + t^4.99 + t^5.36 + t^5.56 + t^5.93 - t^6. + 2*t^6.07 + 2*t^6.14 + t^6.44 + t^6.57 + 2*t^6.64 + t^7.08 + 2*t^7.15 + t^7.21 + t^7.28 + t^7.35 + t^7.49 + t^7.65 + 2*t^7.72 + t^8.06 + t^8.15 + t^8.22 + t^8.29 - t^8.36 + t^8.43 - 2*t^8.5 + t^8.56 + 2*t^8.63 + t^8.79 - t^4.21/y - t^6.71/y + t^7.72/y + t^7.85/y + t^8.36/y + t^8.43/y + t^8.5/y + t^8.56/y + (2*t^8.93)/y - t^4.21*y - t^6.71*y + t^7.72*y + t^7.85*y + t^8.36*y + t^8.43*y + t^8.5*y + t^8.56*y + 2*t^8.93*y | g1^3*t^2.36 + t^2.5/g1^7 + t^3. + t^3.07/g1^5 + 2*g1^2*t^3.57 + t^3.64/g1^3 + g1^9*t^4.08 + g1^4*t^4.15 + g1^6*t^4.72 + g1*t^4.79 + t^4.85/g1^4 + t^4.99/g1^14 + g1^3*t^5.36 + t^5.56/g1^12 + g1^5*t^5.93 - t^6. + (2*t^6.07)/g1^5 + (2*t^6.14)/g1^10 + g1^12*t^6.44 + g1^2*t^6.57 + (2*t^6.64)/g1^3 + g1^9*t^7.08 + 2*g1^4*t^7.15 + t^7.21/g1 + t^7.28/g1^6 + t^7.35/g1^11 + t^7.49/g1^21 + g1^11*t^7.65 + 2*g1^6*t^7.72 + t^8.06/g1^19 + g1^18*t^8.15 + g1^13*t^8.22 + g1^8*t^8.29 - g1^3*t^8.36 + t^8.43/g1^2 - (2*t^8.5)/g1^7 + t^8.56/g1^12 + (2*t^8.63)/g1^17 + g1^15*t^8.79 - t^4.21/(g1*y) - t^6.71/(g1^8*y) + (g1^6*t^7.72)/y + t^7.85/(g1^4*y) + (g1^3*t^8.36)/y + t^8.43/(g1^2*y) + t^8.5/(g1^7*y) + t^8.56/(g1^12*y) + (2*g1^5*t^8.93)/y - (t^4.21*y)/g1 - (t^6.71*y)/g1^8 + g1^6*t^7.72*y + (t^7.85*y)/g1^4 + g1^3*t^8.36*y + (t^8.43*y)/g1^2 + (t^8.5*y)/g1^7 + (t^8.56*y)/g1^12 + 2*g1^5*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 3057 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.5654 | 0.6904 | 0.819 | [X:[1.5833], M:[0.4167, 1.1667, 1.25, 0.75, 0.9167, 1.0], q:[0.9167, 0.6667], qb:[0.3333, 0.4167], phi:[0.4167]] | t^2.25 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + 2*t^3.75 + t^4. + t^4.5 + t^4.75 + t^5. + t^5.25 + t^5.5 + t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 579/1024, c: 707/1024, X1: 19/12, M1: 5/12, M2: 7/6, M3: 5/4, M4: 3/4, M5: 11/12, M6: 1, q1: 11/12, q2: 2/3, qb1: 1/3, qb2: 5/12, phi1: 5/12} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 830 | 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_6^2$ + $ M_3M_4$ | 0.7124 | 0.8709 | 0.818 | [X:[], M:[0.8576, 1.0712, 1.0, 1.0, 0.8576, 1.0], q:[0.5712, 0.5712], qb:[0.4288, 0.5712], phi:[0.4644]] | 2*t^2.57 + 3*t^3. + t^3.21 + t^3.43 + t^3.97 + 3*t^4.39 + 6*t^4.82 + 3*t^5.15 + 3*t^5.57 + 2*t^5.79 - 2*t^6. - t^4.39/y - t^4.39*y | detail |