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 |
---|---|---|---|---|---|---|---|---|---|
1782 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ | 0.6255 | 0.812 | 0.7702 | [X:[], M:[0.9852, 1.0444, 0.7463, 0.7759], q:[0.7463, 0.2685], qb:[0.4778, 0.4778], phi:[0.5074]] | [X:[], M:[[4], [-12], [1], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_4$, $ M_1$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_4$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_4^2$, $ M_1M_3$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ M_4\phi_1^2$, $ M_3\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ M_1^2$, $ M_3q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_4q_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | -1 | 3*t^2.24 + t^2.33 + t^2.96 + t^3.04 + 2*t^3.13 + t^3.67 + t^3.76 + 3*t^4.39 + 6*t^4.48 + 3*t^4.57 + t^4.66 + 3*t^5.19 + 4*t^5.28 + 5*t^5.37 + 2*t^5.46 + 3*t^5.91 - t^6. + 2*t^6.09 + 2*t^6.18 + 3*t^6.27 + 6*t^6.63 + 11*t^6.72 + 5*t^6.81 + 3*t^6.89 + t^6.98 + t^7.34 + 5*t^7.43 + 8*t^7.52 + 10*t^7.61 + 5*t^7.7 + 2*t^7.79 + t^8.06 + 3*t^8.15 - 6*t^8.24 + 6*t^8.42 + 7*t^8.51 + 3*t^8.59 + 5*t^8.78 + 9*t^8.87 + 10*t^8.96 - t^4.52/y - t^6.76/y - t^6.85/y + t^7.39/y + (3*t^7.48)/y + (3*t^7.57)/y - t^7.66/y + (4*t^8.19)/y + (5*t^8.28)/y + (7*t^8.37)/y + (2*t^8.46)/y + (3*t^8.91)/y - t^4.52*y - t^6.76*y - t^6.85*y + t^7.39*y + 3*t^7.48*y + 3*t^7.57*y - t^7.66*y + 4*t^8.19*y + 5*t^8.28*y + 7*t^8.37*y + 2*t^8.46*y + 3*t^8.91*y | 3*g1*t^2.24 + t^2.33/g1^7 + g1^4*t^2.96 + t^3.04/g1^4 + (2*t^3.13)/g1^12 + g1^7*t^3.67 + t^3.76/g1 + 3*g1^10*t^4.39 + 6*g1^2*t^4.48 + (3*t^4.57)/g1^6 + t^4.66/g1^14 + 3*g1^5*t^5.19 + (4*t^5.28)/g1^3 + (5*t^5.37)/g1^11 + (2*t^5.46)/g1^19 + 3*g1^8*t^5.91 - t^6. + (2*t^6.09)/g1^8 + (2*t^6.18)/g1^16 + (3*t^6.27)/g1^24 + 6*g1^11*t^6.63 + 11*g1^3*t^6.72 + (5*t^6.81)/g1^5 + (3*t^6.89)/g1^13 + t^6.98/g1^21 + g1^14*t^7.34 + 5*g1^6*t^7.43 + (8*t^7.52)/g1^2 + (10*t^7.61)/g1^10 + (5*t^7.7)/g1^18 + (2*t^7.79)/g1^26 + g1^17*t^8.06 + 3*g1^9*t^8.15 - 6*g1*t^8.24 + (6*t^8.42)/g1^15 + (7*t^8.51)/g1^23 + (3*t^8.59)/g1^31 + 5*g1^20*t^8.78 + 9*g1^12*t^8.87 + 10*g1^4*t^8.96 - t^4.52/(g1^2*y) - t^6.76/(g1*y) - t^6.85/(g1^9*y) + (g1^10*t^7.39)/y + (3*g1^2*t^7.48)/y + (3*t^7.57)/(g1^6*y) - t^7.66/(g1^14*y) + (4*g1^5*t^8.19)/y + (5*t^8.28)/(g1^3*y) + (7*t^8.37)/(g1^11*y) + (2*t^8.46)/(g1^19*y) + (3*g1^8*t^8.91)/y - (t^4.52*y)/g1^2 - (t^6.76*y)/g1 - (t^6.85*y)/g1^9 + g1^10*t^7.39*y + 3*g1^2*t^7.48*y + (3*t^7.57*y)/g1^6 - (t^7.66*y)/g1^14 + 4*g1^5*t^8.19*y + (5*t^8.28*y)/g1^3 + (7*t^8.37*y)/g1^11 + (2*t^8.46*y)/g1^19 + 3*g1^8*t^8.91*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 |
---|---|---|---|---|---|---|---|---|
2789 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ | 0.6165 | 0.8007 | 0.7699 | [X:[], M:[0.9474, 1.1579, 0.7368, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 3*t^2.21 + t^2.53 + t^2.84 + t^3.16 + 3*t^3.47 + t^3.79 + 3*t^4.11 + 6*t^4.42 + 3*t^4.74 + 4*t^5.05 + 4*t^5.37 + 8*t^5.68 + t^6. - t^4.58/y - t^4.58*y | detail | {a: 8457/13718, c: 5492/6859, M1: 18/19, M2: 22/19, M3: 14/19, M4: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
2790 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.6436 | 0.8453 | 0.7614 | [X:[], M:[0.9915, 1.0255, 0.7479, 0.7649, 0.7649], q:[0.7479, 0.2606], qb:[0.4872, 0.4872], phi:[0.5043]] | 3*t^2.24 + 2*t^2.29 + t^2.97 + t^3.03 + 2*t^3.08 + t^3.76 + 3*t^4.44 + 6*t^4.49 + 6*t^4.54 + 3*t^4.59 + 3*t^5.22 + 5*t^5.27 + 6*t^5.32 + 4*t^5.37 - 2*t^6. - t^4.51/y - t^4.51*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 |
---|---|---|---|---|---|---|---|---|---|
355 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ | 0.608 | 0.7809 | 0.7786 | [X:[], M:[0.9776, 1.0673, 0.7444], q:[0.7444, 0.2781], qb:[0.4663, 0.4663], phi:[0.5112]] | 3*t^2.23 + t^2.93 + t^3.07 + 2*t^3.2 + 2*t^3.63 + t^3.77 + 3*t^4.33 + 6*t^4.47 + 3*t^5.17 + 3*t^5.3 + 4*t^5.44 + 6*t^5.87 - 2*t^6. - t^4.53/y - t^4.53*y | detail |