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 |
|---|---|---|---|---|---|---|---|---|---|
| 3563 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_4X_1$ + $ M_6\phi_1q_1^2$ + $ M_7\phi_1^2$ | 0.6466 | 0.8103 | 0.7979 | [X:[1.4713], M:[0.7816, 0.9655, 1.2184, 0.5287, 0.7816, 0.6897, 1.1264], q:[0.4368, 0.7816], qb:[0.3448, 0.6897], phi:[0.4368]] | [X:[[7]], M:[[1], [-9], [-1], [-7], [1], [6], [4]], q:[[-2], [1]], qb:[[3], [6]], phi:[[-2]]] | 1 | {a: 75/116, c: 47/58, X1: 128/87, M1: 68/87, M2: 28/29, M3: 106/87, M4: 46/87, M5: 68/87, M6: 20/29, M7: 98/87, q1: 38/87, q2: 68/87, qb1: 10/29, qb2: 20/29, phi1: 38/87} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_1$, $ M_5$, $ M_2$, $ M_7$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_6^2$, $ M_1M_6$, $ M_5M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ M_6M_7$, $ M_6q_2\tilde{q}_1$, $ M_6\phi_1\tilde{q}_1^2$, $ M_6q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_7$, $ M_5M_7$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$ | $M_5\phi_1q_1\tilde{q}_1$ | -2 | t^2.07 + 2*t^2.34 + t^2.9 + 4*t^3.38 + t^3.66 + t^4.14 + 4*t^4.41 + 4*t^4.69 + t^5.24 + 5*t^5.45 + 8*t^5.72 + t^5.79 - 2*t^6. + t^6.21 + 4*t^6.48 + 14*t^6.76 + 3*t^7.03 - 4*t^7.31 + 5*t^7.52 + t^7.59 + 15*t^7.79 + t^7.86 + 8*t^8.07 + t^8.14 + t^8.28 - 11*t^8.34 + 4*t^8.55 - 3*t^8.62 + t^8.69 + 18*t^8.83 - 2*t^8.9 - t^4.31/y - t^6.38/y - t^6.66/y - t^7.21/y + (3*t^7.41)/y + t^7.69/y + (2*t^7.97)/y + (3*t^8.24)/y + (3*t^8.45)/y + (8*t^8.72)/y - t^4.31*y - t^6.38*y - t^6.66*y - t^7.21*y + 3*t^7.41*y + t^7.69*y + 2*t^7.97*y + 3*t^8.24*y + 3*t^8.45*y + 8*t^8.72*y | g1^6*t^2.07 + 2*g1*t^2.34 + t^2.9/g1^9 + 4*g1^4*t^3.38 + t^3.66/g1 + g1^12*t^4.14 + 4*g1^7*t^4.41 + 4*g1^2*t^4.69 + t^5.24/g1^8 + 5*g1^10*t^5.45 + 8*g1^5*t^5.72 + t^5.79/g1^18 - 2*t^6. + g1^18*t^6.21 + 4*g1^13*t^6.48 + 14*g1^8*t^6.76 + 3*g1^3*t^7.03 - (4*t^7.31)/g1^2 + 5*g1^16*t^7.52 + t^7.59/g1^7 + 15*g1^11*t^7.79 + t^7.86/g1^12 + 8*g1^6*t^8.07 + t^8.14/g1^17 + g1^24*t^8.28 - 11*g1*t^8.34 + 4*g1^19*t^8.55 - (3*t^8.62)/g1^4 + t^8.69/g1^27 + 18*g1^14*t^8.83 - (2*t^8.9)/g1^9 - t^4.31/(g1^2*y) - (g1^4*t^6.38)/y - t^6.66/(g1*y) - t^7.21/(g1^11*y) + (3*g1^7*t^7.41)/y + (g1^2*t^7.69)/y + (2*t^7.97)/(g1^3*y) + (3*t^8.24)/(g1^8*y) + (3*g1^10*t^8.45)/y + (8*g1^5*t^8.72)/y - (t^4.31*y)/g1^2 - g1^4*t^6.38*y - (t^6.66*y)/g1 - (t^7.21*y)/g1^11 + 3*g1^7*t^7.41*y + g1^2*t^7.69*y + (2*t^7.97*y)/g1^3 + (3*t^8.24*y)/g1^8 + 3*g1^10*t^8.45*y + 8*g1^5*t^8.72*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 |
|---|---|---|---|---|---|---|---|---|
| 5236 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_4X_1$ + $ M_6\phi_1q_1^2$ + $ M_7\phi_1^2$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.6641 | 0.842 | 0.7887 | [X:[1.4675], M:[0.7811, 0.9704, 1.2189, 0.5325, 0.7811, 0.6864, 1.1243, 0.7811], q:[0.4379, 0.7811], qb:[0.3432, 0.6864], phi:[0.4379]] | t^2.06 + 3*t^2.34 + t^2.91 + 4*t^3.37 + t^4.12 + 5*t^4.4 + 7*t^4.69 + 2*t^5.25 + 5*t^5.43 + 11*t^5.72 + t^5.82 - 4*t^6. - t^4.31/y - t^4.31*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2966 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_4X_1$ + $ M_6\phi_1q_1^2$ | 0.6583 | 0.8285 | 0.7947 | [X:[1.4934], M:[0.7848, 0.937, 1.2152, 0.5066, 0.7848, 0.7086], q:[0.4305, 0.7848], qb:[0.3543, 0.7086], phi:[0.4305]] | t^2.13 + 2*t^2.35 + t^2.58 + t^2.81 + 3*t^3.42 + t^3.65 + t^4.25 + 4*t^4.48 + 5*t^4.71 + 2*t^4.94 + 2*t^5.17 + t^5.39 + 4*t^5.54 + t^5.62 + 6*t^5.77 + t^6. - t^4.29/y - t^4.29*y | detail |