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 |
|---|---|---|---|---|---|---|---|---|---|
| 55154 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4^2$ + $ M_2X_1$ | 0.4947 | 0.626 | 0.7903 | [X:[1.4], M:[1.3, 0.6, 0.7, 1.0, 0.9], q:[0.5, 0.2], qb:[0.9, 0.8], phi:[0.4]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 15831/32000, c: 20031/32000, X1: 7/5, M1: 13/10, M2: 3/5, M3: 7/10, M4: 1, M5: 9/10, q1: 1/2, q2: 1/5, qb1: 9/10, qb2: 4/5, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_5$, $ M_4$, $ q_2\tilde{q}_1$, $ M_3^2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ X_1$, $ M_3\phi_1^2$, $ M_3\phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_5$, $ \phi_1^4$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$, $ M_3M_4$, $ M_5\phi_1^2$, $ M_5\phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_4\phi_1^2$, $ M_4\phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_4M_5$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$ | . | -3 | t^2.1 + 2*t^2.4 + t^2.7 + t^3. + t^3.3 + 3*t^4.2 + 3*t^4.5 + 3*t^4.8 + 2*t^5.1 + 4*t^5.4 + 2*t^5.7 - 3*t^6. + t^6.3 + 8*t^6.6 + 4*t^6.9 + 3*t^7.2 + 4*t^7.5 + 4*t^7.8 - t^8.1 - 3*t^8.4 + t^8.7 - t^4.2/y - t^6.6/y - t^6.9/y + (3*t^7.5)/y + (3*t^7.8)/y + (3*t^8.1)/y + (3*t^8.4)/y + (3*t^8.7)/y - t^4.2*y - t^6.6*y - t^6.9*y + 3*t^7.5*y + 3*t^7.8*y + 3*t^8.1*y + 3*t^8.4*y + 3*t^8.7*y | t^2.1 + 2*t^2.4 + t^2.7 + t^3. + t^3.3 + 3*t^4.2 + 3*t^4.5 + 3*t^4.8 + 2*t^5.1 + 4*t^5.4 + 2*t^5.7 - 3*t^6. + t^6.3 + 8*t^6.6 + 4*t^6.9 + 3*t^7.2 + 4*t^7.5 + 4*t^7.8 - t^8.1 - 3*t^8.4 + t^8.7 - t^4.2/y - t^6.6/y - t^6.9/y + (3*t^7.5)/y + (3*t^7.8)/y + (3*t^8.1)/y + (3*t^8.4)/y + (3*t^8.7)/y - t^4.2*y - t^6.6*y - t^6.9*y + 3*t^7.5*y + 3*t^7.8*y + 3*t^8.1*y + 3*t^8.4*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 56800 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4^2$ + $ M_2X_1$ + $ M_6\phi_1^2$ | 0.4782 | 0.597 | 0.8011 | [X:[1.4], M:[1.3, 0.6, 0.7, 1.0, 0.9, 1.2], q:[0.5, 0.2], qb:[0.9, 0.8], phi:[0.4]] | t^2.1 + t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + 3*t^4.2 + 2*t^4.5 + t^4.8 + t^5.1 + 3*t^5.4 + 2*t^5.7 - 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 15303/32000, c: 19103/32000, X1: 7/5, M1: 13/10, M2: 3/5, M3: 7/10, M4: 1, M5: 9/10, M6: 6/5, q1: 1/2, q2: 1/5, qb1: 9/10, qb2: 4/5, phi1: 2/5} |
| 56802 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4^2$ + $ M_2X_1$ + $ M_6q_2\tilde{q}_1$ | 0.5038 | 0.6413 | 0.7856 | [X:[1.4], M:[1.3, 0.6, 0.7, 1.0, 0.9, 0.9], q:[0.5, 0.2], qb:[0.9, 0.8], phi:[0.4]] | t^2.1 + 2*t^2.4 + 2*t^2.7 + t^3. + 3*t^4.2 + 3*t^4.5 + 4*t^4.8 + 4*t^5.1 + 5*t^5.4 + t^5.7 - 4*t^6. - t^4.2/y - t^4.2*y | detail | {a: 8061/16000, c: 10261/16000, X1: 7/5, M1: 13/10, M2: 3/5, M3: 7/10, M4: 1, M5: 9/10, M6: 9/10, q1: 1/2, q2: 1/5, qb1: 9/10, qb2: 4/5, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 47066 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5q_2\tilde{q}_1$ | 0.6598 | 0.8251 | 0.7997 | [X:[], M:[1.1553, 0.8894, 0.8447, 0.7106, 0.7553], q:[0.3553, 0.4894], qb:[0.7553, 0.8], phi:[0.4]] | t^2.13 + t^2.27 + t^2.4 + t^2.53 + t^2.67 + t^3.33 + t^3.47 + t^3.73 + t^4.14 + t^4.26 + t^4.4 + 3*t^4.53 + 3*t^4.67 + 2*t^4.8 + 3*t^4.93 + 2*t^5.07 + t^5.34 + t^5.46 + t^5.6 + 3*t^5.73 + 2*t^5.87 - t^6. - t^4.2/y - t^4.2*y | detail |