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 |
|---|---|---|---|---|---|---|---|---|---|
| 894 | 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$ + $ M_2\phi_1^2$ | 0.7035 | 0.8667 | 0.8116 | [X:[], M:[0.925, 1.025, 1.075, 0.875, 0.925], q:[0.4875, 0.5875], qb:[0.4375, 0.5375], phi:[0.4875]] | [X:[], M:[[-6], [2], [6], [-10], [-6]], q:[[-1], [7]], qb:[[-5], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1M_4$, $ M_4M_5$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ M_5q_2\tilde{q}_1$, $ M_5q_1\tilde{q}_2$ | $\phi_1^2q_1\tilde{q}_2$ | -1 | t^2.63 + 2*t^2.78 + t^2.93 + 3*t^3.07 + t^4.09 + t^4.24 + 2*t^4.39 + 2*t^4.54 + 2*t^4.69 + t^4.84 + t^4.99 + t^5.25 + 2*t^5.4 + 3*t^5.55 + 3*t^5.7 + 4*t^5.85 - t^6. + 2*t^6.15 - 2*t^6.3 - t^6.45 + t^6.71 + 3*t^6.86 + 4*t^7.01 + 6*t^7.16 + 5*t^7.31 + 5*t^7.46 + 3*t^7.61 + 2*t^7.76 + t^7.88 + 2*t^8.03 + t^8.06 + 4*t^8.18 + 6*t^8.33 + 5*t^8.48 + 4*t^8.63 - t^8.78 - t^4.46/y - t^7.09/y - t^7.24/y + t^7.69/y + t^7.84/y + (2*t^8.4)/y + (2*t^8.55)/y + (5*t^8.7)/y + (6*t^8.85)/y - t^4.46*y - t^7.09*y - t^7.24*y + t^7.69*y + t^7.84*y + 2*t^8.4*y + 2*t^8.55*y + 5*t^8.7*y + 6*t^8.85*y | t^2.63/g1^10 + (2*t^2.78)/g1^6 + t^2.93/g1^2 + 3*g1^2*t^3.07 + t^4.09/g1^11 + t^4.24/g1^7 + (2*t^4.39)/g1^3 + 2*g1*t^4.54 + 2*g1^5*t^4.69 + g1^9*t^4.84 + g1^13*t^4.99 + t^5.25/g1^20 + (2*t^5.4)/g1^16 + (3*t^5.55)/g1^12 + (3*t^5.7)/g1^8 + (4*t^5.85)/g1^4 - t^6. + 2*g1^4*t^6.15 - 2*g1^8*t^6.3 - g1^12*t^6.45 + t^6.71/g1^21 + (3*t^6.86)/g1^17 + (4*t^7.01)/g1^13 + (6*t^7.16)/g1^9 + (5*t^7.31)/g1^5 + (5*t^7.46)/g1 + 3*g1^3*t^7.61 + 2*g1^7*t^7.76 + t^7.88/g1^30 + (2*t^8.03)/g1^26 + g1^15*t^8.06 + (4*t^8.18)/g1^22 + (6*t^8.33)/g1^18 + (5*t^8.48)/g1^14 + (4*t^8.63)/g1^10 - t^8.78/g1^6 - t^4.46/(g1*y) - t^7.09/(g1^11*y) - t^7.24/(g1^7*y) + (g1^5*t^7.69)/y + (g1^9*t^7.84)/y + (2*t^8.4)/(g1^16*y) + (2*t^8.55)/(g1^12*y) + (5*t^8.7)/(g1^8*y) + (6*t^8.85)/(g1^4*y) - (t^4.46*y)/g1 - (t^7.09*y)/g1^11 - (t^7.24*y)/g1^7 + g1^5*t^7.69*y + g1^9*t^7.84*y + (2*t^8.4*y)/g1^16 + (2*t^8.55*y)/g1^12 + (5*t^8.7*y)/g1^8 + (6*t^8.85*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1379 | $M_1q_1q_2$ + $ 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$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ | 0.7012 | 0.8624 | 0.8131 | [X:[], M:[0.9321, 1.0226, 1.0679, 0.8868, 0.9321, 1.0226], q:[0.4887, 0.5793], qb:[0.4434, 0.534], phi:[0.4887]] | t^2.66 + 2*t^2.8 + 4*t^3.07 + t^4.13 + t^4.26 + 2*t^4.4 + 2*t^4.53 + 2*t^4.67 + t^4.81 + t^4.94 + t^5.32 + 2*t^5.46 + 2*t^5.59 + 2*t^5.73 + 5*t^5.86 - 4*t^6. - t^4.47/y - t^4.47*y | detail | |
| 2059 | $M_1q_1q_2$ + $ 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$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_4X_1$ | 0.6261 | 0.7799 | 0.8027 | [X:[1.3846], M:[0.7692, 1.0769, 1.2308, 0.6154, 0.7692], q:[0.4615, 0.7692], qb:[0.3077, 0.6154], phi:[0.4615]] | 2*t^2.31 + t^2.77 + 4*t^3.23 + t^3.69 + 3*t^4.15 + 4*t^4.62 + 2*t^5.08 + 7*t^5.54 + 2*t^6. - t^4.38/y - t^4.38*y | detail | {a: 2751/4394, c: 3427/4394, X1: 18/13, M1: 10/13, M2: 14/13, M3: 16/13, M4: 8/13, M5: 10/13, q1: 6/13, q2: 10/13, qb1: 4/13, qb2: 8/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 579 | 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$ | 0.7283 | 0.8957 | 0.8131 | [X:[], M:[0.9749, 0.82, 1.0251, 0.7699, 0.9749], q:[0.4487, 0.5763], qb:[0.5262, 0.6538], phi:[0.4487]] | t^2.31 + t^2.46 + t^2.69 + 2*t^2.92 + 2*t^3.31 + t^4.04 + t^4.27 + t^4.42 + t^4.5 + t^4.62 + 2*t^4.65 + t^4.77 + t^4.8 + t^4.89 + t^4.92 + t^5. + t^5.04 + t^5.15 + 2*t^5.23 + t^5.27 + 2*t^5.38 + 2*t^5.62 + 2*t^5.85 - 2*t^6. - t^4.35/y - t^4.35*y | detail |