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 |
|---|---|---|---|---|---|---|---|---|---|
| 4172 | 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_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_5M_6$ + $ M_7q_1q_2$ | 0.672 | 0.8224 | 0.817 | [X:[], M:[1.037, 1.1111, 0.963, 0.8889, 0.7407, 1.2593, 0.8148], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 23513/34992, c: 14389/17496, M1: 28/27, M2: 10/9, M3: 26/27, M4: 8/9, M5: 20/27, M6: 34/27, M7: 22/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_6$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_7^2$, $ M_4M_7$, $ M_7\phi_1^2$, $ M_4^2$, $ M_3M_7$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_3M_4$, $ M_1M_7$, $ M_3\phi_1^2$, $ M_3^2$, $ M_1M_4$, $ M_1\phi_1^2$ | . | -2 | t^2.44 + 2*t^2.67 + t^2.89 + t^3.11 + 2*t^3.78 + 2*t^4. + 2*t^4.22 + t^4.44 + t^4.67 + t^4.89 + 2*t^5.11 + 4*t^5.33 + 2*t^5.56 + t^5.78 - 2*t^6. + 4*t^6.44 + 5*t^6.67 + 6*t^6.89 + 2*t^7.11 + 2*t^7.33 + 2*t^7.56 + 5*t^7.78 + 9*t^8. + 4*t^8.22 + t^8.44 - 3*t^8.67 - t^8.89 - t^4.33/y - t^6.78/y - t^7./y + t^7.67/y + t^7.89/y + (2*t^8.11)/y + (2*t^8.33)/y + (3*t^8.56)/y + (2*t^8.78)/y - t^4.33*y - t^6.78*y - t^7.*y + t^7.67*y + t^7.89*y + 2*t^8.11*y + 2*t^8.33*y + 3*t^8.56*y + 2*t^8.78*y | t^2.44 + 2*t^2.67 + t^2.89 + t^3.11 + 2*t^3.78 + 2*t^4. + 2*t^4.22 + t^4.44 + t^4.67 + t^4.89 + 2*t^5.11 + 4*t^5.33 + 2*t^5.56 + t^5.78 - 2*t^6. + 4*t^6.44 + 5*t^6.67 + 6*t^6.89 + 2*t^7.11 + 2*t^7.33 + 2*t^7.56 + 5*t^7.78 + 9*t^8. + 4*t^8.22 + t^8.44 - 3*t^8.67 - t^8.89 - t^4.33/y - t^6.78/y - t^7./y + t^7.67/y + t^7.89/y + (2*t^8.11)/y + (2*t^8.33)/y + (3*t^8.56)/y + (2*t^8.78)/y - t^4.33*y - t^6.78*y - t^7.*y + t^7.67*y + t^7.89*y + 2*t^8.11*y + 2*t^8.33*y + 3*t^8.56*y + 2*t^8.78*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 |
|---|---|---|---|---|---|---|---|---|
| 5673 | $\phi_1q_1^2$ + $ 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_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_5M_6$ + $ M_7q_1q_2$ + $ M_1M_8$ | 0.6754 | 0.8282 | 0.8155 | [X:[], M:[1.037, 1.1111, 0.963, 0.8889, 0.7407, 1.2593, 0.8148, 0.963], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | t^2.44 + 2*t^2.67 + 2*t^2.89 + 2*t^3.78 + 2*t^4. + 2*t^4.22 + t^4.44 + t^4.67 + t^4.89 + 2*t^5.11 + 5*t^5.33 + 3*t^5.56 + t^5.78 - 3*t^6. - t^4.33/y - t^4.33*y | detail | {a: 1313/1944, c: 805/972, M1: 28/27, M2: 10/9, M3: 26/27, M4: 8/9, M5: 20/27, M6: 34/27, M7: 22/27, M8: 26/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |
| 5672 | $\phi_1q_1^2$ + $ 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_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_5M_6$ + $ M_7q_1q_2$ + $ M_3M_8$ | 0.6685 | 0.8166 | 0.8186 | [X:[], M:[1.037, 1.1111, 0.963, 0.8889, 0.7407, 1.2593, 0.8148, 1.037], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | t^2.44 + 2*t^2.67 + 2*t^3.11 + 2*t^3.78 + 2*t^4. + 2*t^4.22 + t^4.44 + t^4.67 + t^4.89 + 2*t^5.11 + 3*t^5.33 + t^5.56 + 2*t^5.78 - 3*t^6. - t^4.33/y - t^4.33*y | detail | {a: 1462/2187, c: 1786/2187, M1: 28/27, M2: 10/9, M3: 26/27, M4: 8/9, M5: 20/27, M6: 34/27, M7: 22/27, M8: 28/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2180 | 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_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_5M_6$ | 0.6564 | 0.7953 | 0.8254 | [X:[], M:[1.037, 1.1111, 0.963, 0.8889, 0.7407, 1.2593], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | 2*t^2.67 + t^2.89 + t^3.11 + t^3.56 + 2*t^3.78 + 2*t^4. + 2*t^4.22 + t^4.44 + t^4.67 + 3*t^5.33 + t^5.56 + t^5.78 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 319/486, c: 773/972, M1: 28/27, M2: 10/9, M3: 26/27, M4: 8/9, M5: 20/27, M6: 34/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |