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 |
---|---|---|---|---|---|---|---|---|---|
2561 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ M_6\phi_1^2$ + $ M_4M_7$ | 0.6921 | 0.8506 | 0.8137 | [X:[], M:[1.0113, 0.9962, 0.9887, 1.0188, 0.9812, 0.9962, 0.9812], q:[0.4906, 0.4981], qb:[0.5206, 0.4831], phi:[0.5019]] | [X:[], M:[[-6], [2], [6], [-10], [10], [2], [10]], q:[[5], [1]], qb:[[-11], [9]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_1\tilde{q}_2$, $ M_5$, $ M_7$, $ M_3$, $ M_2$, $ M_6$, $ M_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1^2\tilde{q}_2^2$, $ M_5q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ M_3q_1\tilde{q}_2$, $ M_3M_5$, $ M_3M_7$, $ M_6q_1\tilde{q}_2$, $ M_3^2$, $ M_2M_5$, $ M_5M_6$, $ M_2M_7$, $ M_6M_7$, $ M_2M_3$, $ M_3M_6$, $ M_2^2$, $ M_1M_5$, $ M_2M_6$, $ M_6^2$, $ M_1M_7$ | . | -3 | t^2.92 + 2*t^2.94 + t^2.97 + 2*t^2.99 + t^3.03 + t^4.4 + t^4.43 + 2*t^4.45 + t^4.47 + t^4.49 + t^4.52 + t^4.54 + t^4.56 + t^4.63 + t^5.84 + 2*t^5.86 + 3*t^5.89 + 3*t^5.91 + 4*t^5.93 + 2*t^5.95 + 2*t^5.98 - 3*t^6. - t^6.05 - t^6.09 - t^6.11 + t^7.33 + 3*t^7.35 + 4*t^7.37 + 5*t^7.39 + 4*t^7.42 + 5*t^7.44 + 3*t^7.46 + 2*t^7.48 + t^7.55 + t^7.57 + t^7.66 + t^8.76 + 2*t^8.79 + 4*t^8.81 + 6*t^8.83 + 7*t^8.85 + 8*t^8.88 + 5*t^8.9 + 2*t^8.92 - 4*t^8.94 - 2*t^8.97 - 6*t^8.99 - t^4.51/y - t^7.45/y - t^7.49/y + t^7.52/y + t^7.56/y + (2*t^8.86)/y + (2*t^8.89)/y + (4*t^8.91)/y + (4*t^8.93)/y + (3*t^8.95)/y + (3*t^8.98)/y - t^4.51*y - t^7.45*y - t^7.49*y + t^7.52*y + t^7.56*y + 2*t^8.86*y + 2*t^8.89*y + 4*t^8.91*y + 4*t^8.93*y + 3*t^8.95*y + 3*t^8.98*y | g1^14*t^2.92 + 2*g1^10*t^2.94 + g1^6*t^2.97 + 2*g1^2*t^2.99 + t^3.03/g1^6 + g1^17*t^4.4 + g1^13*t^4.43 + 2*g1^9*t^4.45 + g1^5*t^4.47 + g1*t^4.49 + t^4.52/g1^3 + t^4.54/g1^7 + t^4.56/g1^11 + t^4.63/g1^23 + g1^28*t^5.84 + 2*g1^24*t^5.86 + 3*g1^20*t^5.89 + 3*g1^16*t^5.91 + 4*g1^12*t^5.93 + 2*g1^8*t^5.95 + 2*g1^4*t^5.98 - 3*t^6. - t^6.05/g1^8 - t^6.09/g1^16 - t^6.11/g1^20 + g1^31*t^7.33 + 3*g1^27*t^7.35 + 4*g1^23*t^7.37 + 5*g1^19*t^7.39 + 4*g1^15*t^7.42 + 5*g1^11*t^7.44 + 3*g1^7*t^7.46 + 2*g1^3*t^7.48 + t^7.55/g1^9 + t^7.57/g1^13 + t^7.66/g1^29 + g1^42*t^8.76 + 2*g1^38*t^8.79 + 4*g1^34*t^8.81 + 6*g1^30*t^8.83 + 7*g1^26*t^8.85 + 8*g1^22*t^8.88 + 5*g1^18*t^8.9 + 2*g1^14*t^8.92 - 4*g1^10*t^8.94 - 2*g1^6*t^8.97 - 6*g1^2*t^8.99 - t^4.51/(g1*y) - (g1^9*t^7.45)/y - (g1*t^7.49)/y + t^7.52/(g1^3*y) + t^7.56/(g1^11*y) + (2*g1^24*t^8.86)/y + (2*g1^20*t^8.89)/y + (4*g1^16*t^8.91)/y + (4*g1^12*t^8.93)/y + (3*g1^8*t^8.95)/y + (3*g1^4*t^8.98)/y - (t^4.51*y)/g1 - g1^9*t^7.45*y - g1*t^7.49*y + (t^7.52*y)/g1^3 + (t^7.56*y)/g1^11 + 2*g1^24*t^8.86*y + 2*g1^20*t^8.89*y + 4*g1^16*t^8.91*y + 4*g1^12*t^8.93*y + 3*g1^8*t^8.95*y + 3*g1^4*t^8.98*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 |
---|---|---|---|---|---|---|---|---|
4637 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ M_6\phi_1^2$ + $ M_4M_7$ + $ M_1M_8$ | 0.6935 | 0.855 | 0.8112 | [X:[], M:[1.0199, 0.9934, 0.9801, 1.0332, 0.9668, 0.9934, 0.9668, 0.9801], q:[0.4834, 0.4967], qb:[0.5365, 0.4701], phi:[0.5033]] | t^2.86 + 2*t^2.9 + 2*t^2.94 + 2*t^2.98 + t^4.33 + t^4.37 + 2*t^4.41 + t^4.45 + t^4.49 + t^4.53 + t^4.57 + t^4.61 + t^4.73 + t^5.72 + 2*t^5.76 + 4*t^5.8 + 5*t^5.84 + 6*t^5.88 + 3*t^5.92 - 4*t^6. - t^4.51/y - t^4.51*y | detail | |
4634 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ M_6\phi_1^2$ + $ M_4M_7$ + $ M_3M_8$ | 0.6914 | 0.848 | 0.8153 | [X:[], M:[1.0025, 0.9992, 0.9975, 1.0042, 0.9958, 0.9992, 0.9958, 1.0025], q:[0.4979, 0.4996], qb:[0.5047, 0.4962], phi:[0.5004]] | t^2.98 + 2*t^2.99 + 2*t^3. + 2*t^3.01 + 2*t^4.48 + 3*t^4.49 + 2*t^4.5 + 2*t^4.51 + t^4.53 + t^5.96 + 4*t^5.97 + 4*t^5.98 + 5*t^5.99 - 4*t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
1485 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ M_6\phi_1^2$ | 0.6915 | 0.8474 | 0.816 | [X:[], M:[0.9967, 1.0011, 1.0033, 0.9946, 1.0054, 1.0011], q:[0.5027, 0.5005], qb:[0.494, 0.5049], phi:[0.4995]] | t^2.98 + t^2.99 + 2*t^3. + t^3.01 + 2*t^3.02 + t^4.46 + t^4.48 + t^4.49 + 2*t^4.5 + 3*t^4.51 + t^4.52 + t^4.53 + 2*t^5.99 - 2*t^6. - t^4.5/y - t^4.5*y | detail |