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 |
---|---|---|---|---|---|---|---|---|---|
2557 | 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_3M_7$ | 0.6922 | 0.8481 | 0.8162 | [X:[], M:[0.9881, 1.004, 1.0119, 0.9801, 1.0199, 1.004, 0.9881], q:[0.5099, 0.502], qb:[0.4781, 0.5179], phi:[0.498]] | [X:[], M:[[-6], [2], [6], [-10], [10], [2], [-6]], q:[[5], [1]], qb:[[-11], [9]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_1$, $ M_7$, $ M_2$, $ M_6$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_4M_7$, $ M_1^2$, $ M_1M_7$, $ M_7^2$, $ M_2M_4$, $ M_4M_6$, $ M_1M_2$, $ M_1M_6$, $ M_2M_7$, $ M_6M_7$ | . | -3 | t^2.94 + 2*t^2.96 + 2*t^3.01 + t^3.06 + t^3.08 + t^4.36 + t^4.43 + t^4.46 + t^4.48 + t^4.51 + t^4.53 + 2*t^4.55 + t^4.58 + t^4.6 + t^5.9 + 2*t^5.93 + t^5.95 + 2*t^5.98 - 3*t^6. + 3*t^6.02 + t^6.05 + t^6.07 + t^6.1 + t^6.14 + t^6.17 + t^7.3 + 2*t^7.33 + t^7.37 + t^7.4 + 2*t^7.42 + 3*t^7.45 + t^7.47 + t^7.49 + 3*t^7.52 + 3*t^7.54 + 4*t^7.57 + t^7.59 + 2*t^7.61 + 2*t^7.64 + 2*t^7.66 + t^7.68 + t^8.73 + t^8.8 + t^8.82 + t^8.87 + 3*t^8.89 + 2*t^8.92 + t^8.94 - 4*t^8.96 + 2*t^8.99 - t^4.49/y - t^7.46/y + t^7.48/y - t^7.51/y + t^7.53/y + (2*t^8.9)/y + t^8.93/y + (2*t^8.95)/y + (4*t^8.98)/y - t^4.49*y - t^7.46*y + t^7.48*y - t^7.51*y + t^7.53*y + 2*t^8.9*y + t^8.93*y + 2*t^8.95*y + 4*t^8.98*y | t^2.94/g1^10 + (2*t^2.96)/g1^6 + 2*g1^2*t^3.01 + g1^10*t^3.06 + g1^14*t^3.08 + t^4.36/g1^23 + t^4.43/g1^11 + t^4.46/g1^7 + t^4.48/g1^3 + g1*t^4.51 + g1^5*t^4.53 + 2*g1^9*t^4.55 + g1^13*t^4.58 + g1^17*t^4.6 + t^5.9/g1^16 + (2*t^5.93)/g1^12 + t^5.95/g1^8 + (2*t^5.98)/g1^4 - 3*t^6. + 3*g1^4*t^6.02 + g1^8*t^6.05 + g1^12*t^6.07 + g1^16*t^6.1 + g1^24*t^6.14 + g1^28*t^6.17 + t^7.3/g1^33 + (2*t^7.33)/g1^29 + t^7.37/g1^21 + t^7.4/g1^17 + (2*t^7.42)/g1^13 + (3*t^7.45)/g1^9 + t^7.47/g1^5 + t^7.49/g1 + 3*g1^3*t^7.52 + 3*g1^7*t^7.54 + 4*g1^11*t^7.57 + g1^15*t^7.59 + 2*g1^19*t^7.61 + 2*g1^23*t^7.64 + 2*g1^27*t^7.66 + g1^31*t^7.68 + t^8.73/g1^46 + t^8.8/g1^34 + t^8.82/g1^30 + t^8.87/g1^22 + (3*t^8.89)/g1^18 + (2*t^8.92)/g1^14 + t^8.94/g1^10 - (4*t^8.96)/g1^6 + (2*t^8.99)/g1^2 - t^4.49/(g1*y) - t^7.46/(g1^7*y) + t^7.48/(g1^3*y) - (g1*t^7.51)/y + (g1^5*t^7.53)/y + (2*t^8.9)/(g1^16*y) + t^8.93/(g1^12*y) + (2*t^8.95)/(g1^8*y) + (4*t^8.98)/(g1^4*y) - (t^4.49*y)/g1 - (t^7.46*y)/g1^7 + (t^7.48*y)/g1^3 - g1*t^7.51*y + g1^5*t^7.53*y + (2*t^8.9*y)/g1^16 + (t^8.93*y)/g1^12 + (2*t^8.95*y)/g1^8 + (4*t^8.98*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 |
---|---|---|---|---|---|---|---|---|
4624 | $M_1q_1q_2$ + $ 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_3M_7$ + $ M_5M_8$ | 0.6951 | 0.8533 | 0.8147 | [X:[], M:[0.974, 1.0087, 1.026, 0.9567, 1.0433, 1.0087, 0.974, 0.9567], q:[0.5216, 0.5043], qb:[0.4524, 0.539], phi:[0.4957]] | 2*t^2.87 + 2*t^2.92 + 2*t^3.03 + t^3.18 + t^4.2 + t^4.36 + t^4.41 + t^4.46 + t^4.51 + t^4.56 + 2*t^4.62 + t^4.67 + t^4.72 + 2*t^5.74 + 3*t^5.79 + 2*t^5.84 + 3*t^5.9 + 2*t^5.95 - 4*t^6. - t^4.49/y - t^4.49*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 |
---|---|---|---|---|---|---|---|---|---|
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 |