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 |
|---|---|---|---|---|---|---|---|---|---|
| 55515 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_2M_3$ | 0.5919 | 0.7794 | 0.7594 | [X:[], M:[1.0, 1.1538, 0.8462, 0.9231, 0.7692], q:[0.7308, 0.2692], qb:[0.4231, 0.4231], phi:[0.5385]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2601/4394, c: 27399/35152, M1: 1, M2: 15/13, M3: 11/13, M4: 12/13, M5: 10/13, q1: 19/26, q2: 7/26, qb1: 11/26, qb2: 11/26, phi1: 7/13} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_5$, $ M_3$, $ M_4$, $ M_1$, $ \phi_1^2$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_5q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_5^2$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_3M_5$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_3^2$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_4$, $ M_1M_5$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1M_3$, $ M_4^2$, $ M_5\phi_1^2$, $ q_1q_2\tilde{q}_2^2$, $ M_1M_4$, $ M_2M_5$, $ M_3\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_4\phi_1^2$, $ M_3q_1\tilde{q}_2$ | -1 | 2*t^2.08 + t^2.31 + t^2.54 + t^2.77 + t^3. + t^3.23 + 2*t^3.46 + t^3.69 + 6*t^4.15 + 2*t^4.38 + 3*t^4.62 + 3*t^4.85 + 4*t^5.08 + 4*t^5.31 + 4*t^5.54 + 5*t^5.77 - t^6. + 11*t^6.23 + 6*t^6.46 + 7*t^6.69 + 8*t^6.92 + 7*t^7.15 + 8*t^7.38 + 9*t^7.62 + 9*t^7.85 - 2*t^8.08 + 19*t^8.31 + 7*t^8.54 + 8*t^8.77 - t^4.62/y - t^6.92/y + t^7.15/y + (2*t^7.38)/y + (2*t^7.62)/y + (3*t^7.85)/y + (3*t^8.08)/y + (5*t^8.31)/y + (6*t^8.54)/y + (6*t^8.77)/y - t^4.62*y - t^6.92*y + t^7.15*y + 2*t^7.38*y + 2*t^7.62*y + 3*t^7.85*y + 3*t^8.08*y + 5*t^8.31*y + 6*t^8.54*y + 6*t^8.77*y | 2*t^2.08 + t^2.31 + t^2.54 + t^2.77 + t^3. + t^3.23 + 2*t^3.46 + t^3.69 + 6*t^4.15 + 2*t^4.38 + 3*t^4.62 + 3*t^4.85 + 4*t^5.08 + 4*t^5.31 + 4*t^5.54 + 5*t^5.77 - t^6. + 11*t^6.23 + 6*t^6.46 + 7*t^6.69 + 8*t^6.92 + 7*t^7.15 + 8*t^7.38 + 9*t^7.62 + 9*t^7.85 - 2*t^8.08 + 19*t^8.31 + 7*t^8.54 + 8*t^8.77 - t^4.62/y - t^6.92/y + t^7.15/y + (2*t^7.38)/y + (2*t^7.62)/y + (3*t^7.85)/y + (3*t^8.08)/y + (5*t^8.31)/y + (6*t^8.54)/y + (6*t^8.77)/y - t^4.62*y - t^6.92*y + t^7.15*y + 2*t^7.38*y + 2*t^7.62*y + 3*t^7.85*y + 3*t^8.08*y + 5*t^8.31*y + 6*t^8.54*y + 6*t^8.77*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 |
|---|---|---|---|---|---|---|---|---|
| 57087 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_2M_3$ + $ M_3M_6$ | 0.5785 | 0.7564 | 0.7648 | [X:[], M:[1.0, 1.1538, 0.8462, 0.9231, 0.7692, 1.1538], q:[0.7308, 0.2692], qb:[0.4231, 0.4231], phi:[0.5385]] | 2*t^2.08 + t^2.31 + t^2.77 + t^3. + t^3.23 + 3*t^3.46 + t^3.69 + 6*t^4.15 + 2*t^4.38 + t^4.62 + 2*t^4.85 + 3*t^5.08 + 3*t^5.31 + 5*t^5.54 + 5*t^5.77 - 3*t^6. - t^4.62/y - t^4.62*y | detail | {a: 20337/35152, c: 13295/17576, M1: 1, M2: 15/13, M3: 11/13, M4: 12/13, M5: 10/13, M6: 15/13, q1: 19/26, q2: 7/26, qb1: 11/26, qb2: 11/26, phi1: 7/13} |
| 57088 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_2M_3$ + $ M_4M_6$ | 0.5849 | 0.7676 | 0.762 | [X:[], M:[1.0, 1.1538, 0.8462, 0.9231, 0.7692, 1.0769], q:[0.7308, 0.2692], qb:[0.4231, 0.4231], phi:[0.5385]] | 2*t^2.08 + t^2.31 + t^2.54 + t^3. + 2*t^3.23 + 2*t^3.46 + t^3.69 + 6*t^4.15 + 2*t^4.38 + 3*t^4.62 + t^4.85 + 3*t^5.08 + 5*t^5.31 + 4*t^5.54 + 5*t^5.77 - 2*t^6. - t^4.62/y - t^4.62*y | detail | {a: 20559/35152, c: 26981/35152, M1: 1, M2: 15/13, M3: 11/13, M4: 12/13, M5: 10/13, M6: 14/13, q1: 19/26, q2: 7/26, qb1: 11/26, qb2: 11/26, phi1: 7/13} |
| 57086 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_2M_3$ + $ M_5M_6$ | 0.5738 | 0.7468 | 0.7683 | [X:[], M:[1.0, 1.1538, 0.8462, 0.9231, 0.7692, 1.2308], q:[0.7308, 0.2692], qb:[0.4231, 0.4231], phi:[0.5385]] | 2*t^2.08 + t^2.54 + t^2.77 + t^3. + t^3.23 + 2*t^3.46 + 2*t^3.69 + 6*t^4.15 + 2*t^4.62 + 2*t^4.85 + 3*t^5.08 + 3*t^5.31 + 3*t^5.54 + 5*t^5.77 - 2*t^6. - t^4.62/y - t^4.62*y | detail | {a: 20169/35152, c: 26253/35152, M1: 1, M2: 15/13, M3: 11/13, M4: 12/13, M5: 10/13, M6: 16/13, q1: 19/26, q2: 7/26, qb1: 11/26, qb2: 11/26, phi1: 7/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47144 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6296 | 0.8171 | 0.7705 | [X:[], M:[1.0, 0.9072, 0.692, 1.0464, 0.7384], q:[0.7616, 0.2384], qb:[0.5464, 0.5464], phi:[0.4768]] | t^2.08 + t^2.22 + 2*t^2.35 + t^2.72 + t^2.86 + t^3. + t^3.14 + t^3.78 + t^3.92 + t^4.15 + t^4.29 + 3*t^4.43 + 2*t^4.57 + 6*t^4.71 + t^4.8 + 2*t^4.94 + 2*t^5.08 + 4*t^5.22 + 3*t^5.35 + t^5.44 + 2*t^5.49 + t^5.58 + 2*t^5.72 + 2*t^5.86 - 2*t^6. - t^4.43/y - t^4.43*y | detail |