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 |
|---|---|---|---|---|---|---|---|---|---|
| 2288 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_2$ | 0.5868 | 0.743 | 0.7897 | [X:[1.5], M:[0.9, 0.5, 1.1, 1.0, 0.8, 0.7], q:[0.85, 0.75], qb:[0.25, 0.55], phi:[0.4]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 18777/32000, c: 23777/32000, X1: 3/2, M1: 9/10, M2: 1/2, M3: 11/10, M4: 1, M5: 4/5, M6: 7/10, q1: 17/20, q2: 3/4, qb1: 1/4, qb2: 11/20, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ M_4$, $ M_3$, $ M_6^2$, $ q_1\tilde{q}_2$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_5^2$, $ M_1M_6$, $ M_5\phi_1^2$, $ \phi_1^4$, $ q_1q_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_5$, $ M_4M_6$, $ M_1\phi_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_4M_5$, $ M_3M_6$, $ M_4\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$ | . | -1 | t^2.1 + 3*t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^4.2 + 4*t^4.5 + 8*t^4.8 + 3*t^5.1 + 4*t^5.4 + 3*t^5.7 - t^6. + 5*t^6.6 + 9*t^6.9 + 13*t^7.2 + 7*t^7.5 + 7*t^7.8 + 2*t^8.1 - 5*t^8.4 - t^8.7 - t^4.2/y - t^6.3/y - (2*t^6.6)/y + (3*t^7.5)/y + (6*t^7.8)/y + (5*t^8.1)/y + (3*t^8.4)/y + (2*t^8.7)/y - t^4.2*y - t^6.3*y - 2*t^6.6*y + 3*t^7.5*y + 6*t^7.8*y + 5*t^8.1*y + 3*t^8.4*y + 2*t^8.7*y | t^2.1 + 3*t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^4.2 + 4*t^4.5 + 8*t^4.8 + 3*t^5.1 + 4*t^5.4 + 3*t^5.7 - t^6. + 5*t^6.6 + 9*t^6.9 + 13*t^7.2 + 7*t^7.5 + 7*t^7.8 + 2*t^8.1 - 5*t^8.4 - t^8.7 - t^4.2/y - t^6.3/y - (2*t^6.6)/y + (3*t^7.5)/y + (6*t^7.8)/y + (5*t^8.1)/y + (3*t^8.4)/y + (2*t^8.7)/y - t^4.2*y - t^6.3*y - 2*t^6.6*y + 3*t^7.5*y + 6*t^7.8*y + 5*t^8.1*y + 3*t^8.4*y + 2*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 |
|---|---|---|---|---|---|---|---|---|
| 4302 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_2$ + $ M_3M_7$ | 0.5959 | 0.7584 | 0.7857 | [X:[1.5], M:[0.9, 0.5, 1.1, 1.0, 0.8, 0.7, 0.9], q:[0.85, 0.75], qb:[0.25, 0.55], phi:[0.4]] | t^2.1 + 3*t^2.4 + 2*t^2.7 + t^3. + 2*t^4.2 + 4*t^4.5 + 9*t^4.8 + 6*t^5.1 + 5*t^5.4 + t^5.7 - 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 4767/8000, c: 6067/8000, X1: 3/2, M1: 9/10, M2: 1/2, M3: 11/10, M4: 1, M5: 4/5, M6: 7/10, M7: 9/10, q1: 17/20, q2: 3/4, qb1: 1/4, qb2: 11/20, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1255 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.5663 | 0.7038 | 0.8046 | [X:[1.5], M:[0.9, 0.5, 1.1, 1.0, 0.8], q:[0.85, 0.75], qb:[0.25, 0.55], phi:[0.4]] | 3*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.9 + t^4.2 + t^4.5 + 7*t^4.8 + 2*t^5.1 + 3*t^5.4 + 3*t^5.7 - t^6. - t^4.2/y - t^4.2*y | detail | {a: 453/800, c: 563/800, X1: 3/2, M1: 9/10, M2: 1/2, M3: 11/10, M4: 1, M5: 4/5, q1: 17/20, q2: 3/4, qb1: 1/4, qb2: 11/20, phi1: 2/5} |