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 |
|---|---|---|---|---|---|---|---|---|---|
| 684 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ | 0.6667 | 0.8125 | 0.8205 | [X:[], M:[1.0, 1.1111, 1.0, 0.7778], q:[0.7778, 0.4444], qb:[0.5556, 0.4444], phi:[0.4444]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2/3, c: 13/16, M1: 1, M2: 10/9, M3: 1, M4: 7/9, q1: 7/9, q2: 4/9, qb1: 5/9, qb2: 4/9, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_1$, $ M_3$, $ M_2$, $ q_1q_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_3M_4$, $ \phi_1^4$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_3\phi_1^2$ | $M_3^2$, $ M_4q_1q_2$ | 0 | t^2.33 + t^2.67 + 2*t^3. + t^3.33 + t^3.67 + 4*t^4. + 2*t^4.33 + 2*t^4.67 + t^5. + 3*t^5.33 + t^5.67 + 3*t^6.33 + 6*t^6.67 + 7*t^7. + 3*t^7.33 + 5*t^7.67 + 9*t^8. + 3*t^8.33 + 2*t^8.67 - t^4.33/y - t^6.67/y + (2*t^8.)/y + (2*t^8.33)/y + (3*t^8.67)/y - t^4.33*y - t^6.67*y + 2*t^8.*y + 2*t^8.33*y + 3*t^8.67*y | t^2.33 + t^2.67 + 2*t^3. + t^3.33 + t^3.67 + 4*t^4. + 2*t^4.33 + 2*t^4.67 + t^5. + 3*t^5.33 + t^5.67 + 3*t^6.33 + 6*t^6.67 + 7*t^7. + 3*t^7.33 + 5*t^7.67 + 9*t^8. + 3*t^8.33 + 2*t^8.67 - t^4.33/y - t^6.67/y + (2*t^8.)/y + (2*t^8.33)/y + (3*t^8.67)/y - t^4.33*y - t^6.67*y + 2*t^8.*y + 2*t^8.33*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 1102 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_5\phi_1^2$ | 0.6566 | 0.7955 | 0.8254 | [X:[], M:[1.0, 1.1111, 1.0, 0.7778, 1.1111], q:[0.7778, 0.4444], qb:[0.5556, 0.4444], phi:[0.4444]] | t^2.33 + 2*t^3. + 2*t^3.33 + t^3.67 + 4*t^4. + 2*t^4.33 + 2*t^4.67 + 2*t^5.33 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 851/1296, c: 1031/1296, M1: 1, M2: 10/9, M3: 1, M4: 7/9, M5: 10/9, q1: 7/9, q2: 4/9, qb1: 5/9, qb2: 4/9, phi1: 4/9} |
| 1101 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_1q_2$ | 0.6844 | 0.8441 | 0.8108 | [X:[], M:[1.0, 1.1111, 1.0, 0.7778, 0.7778], q:[0.7778, 0.4444], qb:[0.5556, 0.4444], phi:[0.4444]] | 2*t^2.33 + t^2.67 + 2*t^3. + t^3.33 + 4*t^4. + 2*t^4.33 + 4*t^4.67 + 2*t^5. + 5*t^5.33 + 2*t^5.67 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 887/1296, c: 547/648, M1: 1, M2: 10/9, M3: 1, M4: 7/9, M5: 7/9, q1: 7/9, q2: 4/9, qb1: 5/9, qb2: 4/9, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 417 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_2$ | 0.6675 | 0.8146 | 0.8194 | [X:[], M:[1.0, 1.118, 0.9688, 0.7639], q:[0.7795, 0.4254], qb:[0.5746, 0.4566], phi:[0.441]] | t^2.29 + t^2.65 + t^2.91 + t^3. + t^3.35 + t^3.61 + t^3.88 + t^3.97 + 2*t^4.06 + t^4.32 + t^4.42 + t^4.58 + t^4.77 + t^4.94 + t^5.2 + 2*t^5.29 + t^5.65 + t^5.81 + t^5.91 - t^6. - t^4.32/y - t^4.32*y | detail |