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 |
---|---|---|---|---|---|---|---|---|---|
4637 | 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$ + $ 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]] | [X:[], M:[[-6], [2], [6], [-10], [10], [2], [10], [6]], 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_8$, $ M_2$, $ M_6$, $ \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_8q_1\tilde{q}_2$, $ M_3M_5$, $ M_3M_7$, $ M_5M_8$, $ M_7M_8$, $ M_6q_1\tilde{q}_2$, $ M_3^2$, $ M_2M_5$, $ M_5M_6$, $ M_2M_7$, $ M_6M_7$, $ M_3M_8$, $ M_8^2$, $ M_2M_3$, $ M_3M_6$, $ M_2M_8$, $ M_6M_8$ | . | -4 | 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. - 2*t^6.04 - t^6.08 - t^6.12 - t^6.16 - t^6.2 + t^7.19 + 3*t^7.23 + 5*t^7.27 + 6*t^7.31 + 6*t^7.35 + 5*t^7.39 + 3*t^7.43 + t^7.47 + t^8.58 + 2*t^8.62 + 5*t^8.66 + 8*t^8.7 + 11*t^8.74 + 12*t^8.78 + 9*t^8.82 + 2*t^8.86 - 7*t^8.9 - 10*t^8.94 - 10*t^8.98 - t^4.51/y - t^7.41/y - t^7.45/y - t^7.49/y + t^7.53/y + t^7.57/y + t^7.61/y + (2*t^8.76)/y + (3*t^8.8)/y + (6*t^8.84)/y + (5*t^8.88)/y + (4*t^8.92)/y + t^8.96/y - t^4.51*y - t^7.41*y - t^7.45*y - t^7.49*y + t^7.53*y + t^7.57*y + t^7.61*y + 2*t^8.76*y + 3*t^8.8*y + 6*t^8.84*y + 5*t^8.88*y + 4*t^8.92*y + t^8.96*y | g1^14*t^2.86 + 2*g1^10*t^2.9 + 2*g1^6*t^2.94 + 2*g1^2*t^2.98 + g1^17*t^4.33 + g1^13*t^4.37 + 2*g1^9*t^4.41 + g1^5*t^4.45 + g1*t^4.49 + t^4.53/g1^3 + t^4.57/g1^7 + t^4.61/g1^11 + t^4.73/g1^23 + g1^28*t^5.72 + 2*g1^24*t^5.76 + 4*g1^20*t^5.8 + 5*g1^16*t^5.84 + 6*g1^12*t^5.88 + 3*g1^8*t^5.92 - 4*t^6. - (2*t^6.04)/g1^4 - t^6.08/g1^8 - t^6.12/g1^12 - t^6.16/g1^16 - t^6.2/g1^20 + g1^31*t^7.19 + 3*g1^27*t^7.23 + 5*g1^23*t^7.27 + 6*g1^19*t^7.31 + 6*g1^15*t^7.35 + 5*g1^11*t^7.39 + 3*g1^7*t^7.43 + g1^3*t^7.47 + g1^42*t^8.58 + 2*g1^38*t^8.62 + 5*g1^34*t^8.66 + 8*g1^30*t^8.7 + 11*g1^26*t^8.74 + 12*g1^22*t^8.78 + 9*g1^18*t^8.82 + 2*g1^14*t^8.86 - 7*g1^10*t^8.9 - 10*g1^6*t^8.94 - 10*g1^2*t^8.98 - t^4.51/(g1*y) - (g1^9*t^7.41)/y - (g1^5*t^7.45)/y - (g1*t^7.49)/y + t^7.53/(g1^3*y) + t^7.57/(g1^7*y) + t^7.61/(g1^11*y) + (2*g1^24*t^8.76)/y + (3*g1^20*t^8.8)/y + (6*g1^16*t^8.84)/y + (5*g1^12*t^8.88)/y + (4*g1^8*t^8.92)/y + (g1^4*t^8.96)/y - (t^4.51*y)/g1 - g1^9*t^7.41*y - g1^5*t^7.45*y - g1*t^7.49*y + (t^7.53*y)/g1^3 + (t^7.57*y)/g1^7 + (t^7.61*y)/g1^11 + 2*g1^24*t^8.76*y + 3*g1^20*t^8.8*y + 6*g1^16*t^8.84*y + 5*g1^12*t^8.88*y + 4*g1^8*t^8.92*y + g1^4*t^8.96*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 |
---|---|---|---|---|---|---|---|---|
6191 | $M_1q_1q_2$ + $ 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$ + $ M_9q_1\tilde{q}_2$ | 0.6914 | 0.8476 | 0.8157 | [X:[], M:[0.9996, 1.0001, 1.0004, 0.9994, 1.0006, 1.0001, 1.0006, 1.0004, 0.9992], q:[0.5003, 0.5001], qb:[0.4993, 0.5005], phi:[0.4999]] | 7*t^3. + 10*t^4.5 + t^5.99 + 10*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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^4.51/y - t^4.51*y | detail |