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 |
|---|---|---|---|---|---|---|---|---|---|
| 47147 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_2$ + $ M_4^2$ + $ \phi_1\tilde{q}_1^2$ | 0.6273 | 0.7731 | 0.8114 | [X:[], M:[0.8889, 0.7778, 1.2222, 1.0], q:[0.6667, 0.4444], qb:[0.7778, 0.3333], phi:[0.4444]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 271/432, c: 167/216, M1: 8/9, M2: 7/9, M3: 11/9, M4: 1, q1: 2/3, q2: 4/9, qb1: 7/9, qb2: 1/3, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ \phi_1^2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_2\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1^2$, $ M_2M_4$, $ M_1\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1^2$, $ M_1M_4$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1\tilde{q}_2^2$ | $M_2\phi_1q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_2^2$ | 3 | t^2.33 + 2*t^2.67 + t^3. + 2*t^3.33 + 2*t^3.67 + t^4. + 2*t^4.33 + 2*t^4.67 + t^5. + 4*t^5.33 + 3*t^5.67 + 3*t^6. + 3*t^6.33 + 4*t^6.67 + 4*t^7. + 4*t^7.33 + 5*t^7.67 + 8*t^8. + 2*t^8.33 + 4*t^8.67 - t^4.33/y - (2*t^7.)/y + (2*t^7.67)/y + (2*t^8.)/y + (2*t^8.33)/y + (4*t^8.67)/y - t^4.33*y - 2*t^7.*y + 2*t^7.67*y + 2*t^8.*y + 2*t^8.33*y + 4*t^8.67*y | t^2.33 + 2*t^2.67 + t^3. + 2*t^3.33 + 2*t^3.67 + t^4. + 2*t^4.33 + 2*t^4.67 + t^5. + 4*t^5.33 + 3*t^5.67 + 3*t^6. + 3*t^6.33 + 4*t^6.67 + 4*t^7. + 4*t^7.33 + 5*t^7.67 + 8*t^8. + 2*t^8.33 + 4*t^8.67 - t^4.33/y - (2*t^7.)/y + (2*t^7.67)/y + (2*t^8.)/y + (2*t^8.33)/y + (4*t^8.67)/y - t^4.33*y - 2*t^7.*y + 2*t^7.67*y + 2*t^8.*y + 2*t^8.33*y + 4*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 |
|---|---|---|---|---|---|---|---|---|
| 55474 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_2$ + $ M_4^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3M_5$ | 0.6451 | 0.8048 | 0.8015 | [X:[], M:[0.8889, 0.7778, 1.2222, 1.0, 0.7778], q:[0.6667, 0.4444], qb:[0.7778, 0.3333], phi:[0.4444]] | 2*t^2.33 + 2*t^2.67 + t^3. + 2*t^3.33 + t^3.67 + t^4. + 2*t^4.33 + 4*t^4.67 + 3*t^5. + 5*t^5.33 + 5*t^5.67 + 3*t^6. - t^4.33/y - t^4.33*y | detail | {a: 209/324, c: 1043/1296, M1: 8/9, M2: 7/9, M3: 11/9, M4: 1, M5: 7/9, q1: 2/3, q2: 4/9, qb1: 7/9, qb2: 1/3, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46720 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_2$ + $ M_4^2$ | 0.6954 | 0.8497 | 0.8184 | [X:[], M:[0.9793, 0.9586, 1.0414, 1.0], q:[0.5311, 0.4896], qb:[0.5518, 0.4689], phi:[0.4896]] | t^2.88 + 2*t^2.94 + t^3. + t^3.06 + t^3.12 + t^3.25 + t^4.28 + t^4.34 + t^4.41 + t^4.47 + 2*t^4.53 + t^4.59 + t^4.66 + t^4.72 + t^4.78 + 3*t^5.88 + t^5.94 - t^4.47/y - t^4.47*y | detail |