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 |
|---|---|---|---|---|---|---|---|---|---|
| 47034 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_1q_2^2\tilde{q}_1$ | 0.6707 | 0.8707 | 0.7703 | [X:[], M:[1.1, 0.7, 0.8, 0.7], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 10731/16000, c: 13931/16000, M1: 11/10, M2: 7/10, M3: 4/5, M4: 7/10, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ M_3$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ M_2^2$, $ M_2M_4$, $ M_4^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_3M_4$, $ M_2q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ M_1M_2$, $ M_1M_4$, $ M_3\phi_1^2$, $ M_2q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_2q_1q_2$, $ M_4q_1q_2$, $ M_3q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_2q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | $M_3q_1q_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | 1 | 2*t^2.1 + 3*t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + 6*t^4.2 + 6*t^4.5 + 6*t^4.8 + 2*t^5.1 + 7*t^5.4 + 8*t^5.7 + t^6. + 8*t^6.3 + 18*t^6.6 + 12*t^6.9 + 11*t^7.2 + 10*t^7.5 + 18*t^7.8 + 4*t^8.1 + 12*t^8.4 + 22*t^8.7 - t^4.5/y - (2*t^6.6)/y - t^6.9/y + (2*t^7.2)/y + (6*t^7.5)/y + (2*t^7.8)/y + (3*t^8.1)/y + (9*t^8.4)/y + (7*t^8.7)/y - t^4.5*y - 2*t^6.6*y - t^6.9*y + 2*t^7.2*y + 6*t^7.5*y + 2*t^7.8*y + 3*t^8.1*y + 9*t^8.4*y + 7*t^8.7*y | 2*t^2.1 + 3*t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + 6*t^4.2 + 6*t^4.5 + 6*t^4.8 + 2*t^5.1 + 7*t^5.4 + 8*t^5.7 + t^6. + 8*t^6.3 + 18*t^6.6 + 12*t^6.9 + 11*t^7.2 + 10*t^7.5 + 18*t^7.8 + 4*t^8.1 + 12*t^8.4 + 22*t^8.7 - t^4.5/y - (2*t^6.6)/y - t^6.9/y + (2*t^7.2)/y + (6*t^7.5)/y + (2*t^7.8)/y + (3*t^8.1)/y + (9*t^8.4)/y + (7*t^8.7)/y - t^4.5*y - 2*t^6.6*y - t^6.9*y + 2*t^7.2*y + 6*t^7.5*y + 2*t^7.8*y + 3*t^8.1*y + 9*t^8.4*y + 7*t^8.7*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 |
|---|---|---|---|---|---|---|---|---|
| 55112 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_1q_2^2\tilde{q}_1$ + $ M_1M_5$ | 0.6798 | 0.886 | 0.7672 | [X:[], M:[1.1, 0.7, 0.8, 0.7, 0.9], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | 2*t^2.1 + 3*t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^3.6 + 6*t^4.2 + 6*t^4.5 + 8*t^4.8 + 5*t^5.1 + 6*t^5.4 + 6*t^5.7 + 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 21753/32000, c: 28353/32000, M1: 11/10, M2: 7/10, M3: 4/5, M4: 7/10, M5: 9/10, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
| 55150 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_1q_2^2\tilde{q}_1$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.6542 | 0.8417 | 0.7772 | [X:[], M:[1.1, 0.7, 0.8, 0.7, 1.2], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | 2*t^2.1 + 2*t^2.4 + t^3. + 2*t^3.3 + 3*t^3.6 + 6*t^4.2 + 4*t^4.5 + 3*t^4.8 + 2*t^5.1 + 6*t^5.4 + 8*t^5.7 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 10467/16000, c: 13467/16000, M1: 11/10, M2: 7/10, M3: 4/5, M4: 7/10, M5: 6/5, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46409 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6716 | 0.8726 | 0.7697 | [X:[], M:[1.1074, 0.7148, 0.7852, 0.6778], q:[0.75, 0.4278], qb:[0.3574, 0.4648], phi:[0.5]] | t^2.03 + t^2.14 + 2*t^2.36 + t^2.47 + t^3. + 2*t^3.32 + t^3.53 + t^3.64 + 2*t^4.07 + 2*t^4.18 + 2*t^4.29 + 2*t^4.39 + 3*t^4.5 + t^4.61 + 3*t^4.71 + 2*t^4.82 + t^4.93 + t^5.03 + t^5.14 + 4*t^5.36 + 3*t^5.47 + t^5.57 + 5*t^5.68 + 2*t^5.79 + t^5.89 - t^4.5/y - t^4.5*y | detail |