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 |
|---|---|---|---|---|---|---|---|---|---|
| 6213 | 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_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ M_5M_6$ + $ M_5M_7$ + $ M_8\phi_1q_2\tilde{q}_1$ + $ M_3^2$ | 0.686 | 0.8804 | 0.7791 | [X:[], M:[1.0, 0.7778, 1.0, 0.7778, 1.2222, 0.7778, 0.7778, 0.7778], q:[0.6111, 0.3889], qb:[0.3889, 0.8333], phi:[0.4444]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 889/1296, c: 1141/1296, M1: 1, M2: 7/9, M3: 1, M4: 7/9, M5: 11/9, M6: 7/9, M7: 7/9, M8: 7/9, q1: 11/18, q2: 7/18, qb1: 7/18, qb2: 5/6, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ M_6$, $ M_7$, $ M_8$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_2^2$, $ M_2M_4$, $ M_4^2$, $ M_2M_6$, $ M_4M_6$, $ M_6^2$, $ M_2M_7$, $ M_4M_7$, $ M_6M_7$, $ M_7^2$, $ M_2M_8$, $ M_4M_8$, $ M_6M_8$, $ M_7M_8$, $ M_8^2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ M_8\phi_1^2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_3$, $ M_1M_4$, $ M_3M_4$, $ M_1M_6$, $ M_3M_6$, $ M_1M_7$, $ M_3M_7$, $ M_1M_8$, $ M_3M_8$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1q_1\tilde{q}_2$ | $M_1M_3$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_8\phi_1\tilde{q}_1^2$ | 0 | 5*t^2.33 + t^2.67 + 2*t^3. + t^3.67 + 3*t^4.33 + 13*t^4.67 + 8*t^5. + 8*t^5.33 + 3*t^5.67 + 2*t^6.33 + 8*t^6.67 + 26*t^7. + 24*t^7.33 + 19*t^7.67 + 12*t^8. - 12*t^8.33 + 6*t^8.67 - t^4.33/y - (4*t^6.67)/y - t^7./y + (11*t^7.67)/y + (9*t^8.)/y + (10*t^8.33)/y + (2*t^8.67)/y - t^4.33*y - 4*t^6.67*y - t^7.*y + 11*t^7.67*y + 9*t^8.*y + 10*t^8.33*y + 2*t^8.67*y | 5*t^2.33 + t^2.67 + 2*t^3. + t^3.67 + 3*t^4.33 + 13*t^4.67 + 8*t^5. + 8*t^5.33 + 3*t^5.67 + 2*t^6.33 + 8*t^6.67 + 26*t^7. + 24*t^7.33 + 19*t^7.67 + 12*t^8. - 12*t^8.33 + 6*t^8.67 - t^4.33/y - (4*t^6.67)/y - t^7./y + (11*t^7.67)/y + (9*t^8.)/y + (10*t^8.33)/y + (2*t^8.67)/y - t^4.33*y - 4*t^6.67*y - t^7.*y + 11*t^7.67*y + 9*t^8.*y + 10*t^8.33*y + 2*t^8.67*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 4668 | 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_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ M_5M_6$ + $ M_5M_7$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.7156 | 0.9125 | 0.7842 | [X:[], M:[1.0, 0.699, 0.8227, 0.8763, 1.1237, 0.8763, 0.8763, 0.699], q:[0.6505, 0.3495], qb:[0.5268, 0.7742], phi:[0.4247]] | 2*t^2.1 + t^2.47 + t^2.55 + 3*t^2.63 + t^3. + 3*t^4.19 + 2*t^4.27 + t^4.43 + 2*t^4.57 + 3*t^4.65 + 5*t^4.73 + t^4.81 + t^4.94 + t^5.02 + 5*t^5.1 + 5*t^5.18 + 5*t^5.26 + 2*t^5.55 + t^5.63 + t^5.92 - 4*t^6. - t^4.27/y - t^4.27*y | detail |