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 |
---|---|---|---|---|---|---|---|---|---|
326 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ | 0.7722 | 0.9495 | 0.8132 | [X:[], M:[0.7745, 0.7745, 0.7745, 0.7745], q:[0.6127, 0.6127], qb:[0.6127, 0.6127], phi:[0.3873]] | [X:[], M:[[-2, -2], [-2, -2], [-4, 0], [0, -4]], q:[[0, 2], [2, 0]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_4$, $ M_1$, $ M_2$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_4^2$, $ M_1M_4$, $ M_2M_4$, $ M_4\phi_1^2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_3M_4$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ M_1M_3$, $ M_2M_3$, $ M_3\phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$ | $M_2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$ | -6 | 5*t^2.32 + 2*t^3.68 + 15*t^4.65 + 10*t^4.84 - 6*t^6. + 35*t^6.97 + 35*t^7.16 + 2*t^7.35 - 40*t^8.32 - 5*t^8.51 - t^4.16/y - (5*t^6.49)/y + (10*t^7.65)/y + (5*t^7.84)/y - (15*t^8.81)/y - t^4.16*y - 5*t^6.49*y + 10*t^7.65*y + 5*t^7.84*y - 15*t^8.81*y | t^2.32/g1^4 + t^2.32/g2^4 + (3*t^2.32)/(g1^2*g2^2) + 2*g1^2*g2^2*t^3.68 + t^4.65/g1^8 + t^4.65/g2^8 + (3*t^4.65)/(g1^2*g2^6) + (7*t^4.65)/(g1^4*g2^4) + (3*t^4.65)/(g1^6*g2^2) + (3*g1^3*t^4.84)/g2 + 4*g1*g2*t^4.84 + (3*g2^3*t^4.84)/g1 - 2*t^6. - (2*g1^2*t^6.)/g2^2 - (2*g2^2*t^6.)/g1^2 + t^6.97/g1^12 + t^6.97/g2^12 + (3*t^6.97)/(g1^2*g2^10) + (7*t^6.97)/(g1^4*g2^8) + (13*t^6.97)/(g1^6*g2^6) + (7*t^6.97)/(g1^8*g2^4) + (3*t^6.97)/(g1^10*g2^2) + (3*g1^3*t^7.16)/g2^5 + (9*g1*t^7.16)/g2^3 + (11*t^7.16)/(g1*g2) + (9*g2*t^7.16)/g1^3 + (3*g2^3*t^7.16)/g1^5 + 2*g1^4*g2^4*t^7.35 - (11*t^8.32)/g1^4 - (2*g1^2*t^8.32)/g2^6 - (11*t^8.32)/g2^4 - (14*t^8.32)/(g1^2*g2^2) - (2*g2^2*t^8.32)/g1^6 - g1^5*g2*t^8.51 - 3*g1^3*g2^3*t^8.51 - g1*g2^5*t^8.51 - t^4.16/(g1*g2*y) - t^6.49/(g1*g2^5*y) - (3*t^6.49)/(g1^3*g2^3*y) - t^6.49/(g1^5*g2*y) + (3*t^7.65)/(g1^2*g2^6*y) + (4*t^7.65)/(g1^4*g2^4*y) + (3*t^7.65)/(g1^6*g2^2*y) + (g1^3*t^7.84)/(g2*y) + (3*g1*g2*t^7.84)/y + (g2^3*t^7.84)/(g1*y) - t^8.81/(g1*g2^9*y) - (3*t^8.81)/(g1^3*g2^7*y) - (7*t^8.81)/(g1^5*g2^5*y) - (3*t^8.81)/(g1^7*g2^3*y) - t^8.81/(g1^9*g2*y) - (t^4.16*y)/(g1*g2) - (t^6.49*y)/(g1*g2^5) - (3*t^6.49*y)/(g1^3*g2^3) - (t^6.49*y)/(g1^5*g2) + (3*t^7.65*y)/(g1^2*g2^6) + (4*t^7.65*y)/(g1^4*g2^4) + (3*t^7.65*y)/(g1^6*g2^2) + (g1^3*t^7.84*y)/g2 + 3*g1*g2*t^7.84*y + (g2^3*t^7.84*y)/g1 - (t^8.81*y)/(g1*g2^9) - (3*t^8.81*y)/(g1^3*g2^7) - (7*t^8.81*y)/(g1^5*g2^5) - (3*t^8.81*y)/(g1^7*g2^3) - (t^8.81*y)/(g1^9*g2) |
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 |
---|---|---|---|---|---|---|---|---|
506 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ | 0.7145 | 0.8771 | 0.8147 | [X:[], M:[0.9328, 0.9328, 1.0672, 0.7984], q:[0.6008, 0.4664], qb:[0.4664, 0.6008], phi:[0.4664]] | t^2.4 + 3*t^2.8 + 3*t^3.2 + 3*t^4.2 + 4*t^4.6 + t^4.79 + 3*t^5. + 3*t^5.19 + 5*t^5.6 + t^6. - t^4.4/y - t^4.4*y | detail | |
507 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_3^2$ | 0.7407 | 0.9101 | 0.8139 | [X:[], M:[0.8597, 0.8597, 1.0, 0.7195], q:[0.6403, 0.5], qb:[0.5, 0.6403], phi:[0.4299]] | t^2.16 + 3*t^2.58 + t^3. + 2*t^3.42 + 3*t^4.29 + t^4.32 + 4*t^4.71 + 3*t^4.74 + 3*t^5.13 + 7*t^5.16 + t^5.58 - t^6. - t^4.29/y - t^4.29*y | detail | |
508 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_2\tilde{q}_2$ | 0.7904 | 0.9838 | 0.8034 | [X:[], M:[0.7619, 0.7619, 0.7619, 0.7619, 0.7619], q:[0.619, 0.619], qb:[0.619, 0.619], phi:[0.381]] | 6*t^2.29 + t^3.71 + 21*t^4.57 + 10*t^4.86 - 10*t^6. - t^4.14/y - t^4.14*y | detail | {a: 1859/2352, c: 1157/1176, M1: 16/21, M2: 16/21, M3: 16/21, M4: 16/21, M5: 16/21, q1: 13/21, q2: 13/21, qb1: 13/21, qb2: 13/21, phi1: 8/21} |
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 |
---|---|---|---|---|---|---|---|---|---|
205 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_2\tilde{q}_1$ | 0.7556 | 0.9204 | 0.821 | [X:[], M:[0.7942, 0.7942, 0.7604], q:[0.586, 0.6198], qb:[0.6198, 0.586], phi:[0.3971]] | t^2.28 + 3*t^2.38 + t^3.52 + 2*t^3.62 + t^4.56 + 3*t^4.66 + 3*t^4.71 + 6*t^4.77 + 4*t^4.81 + 3*t^4.91 + t^5.8 + t^5.9 - 2*t^6. - t^4.19/y - t^4.19*y | detail |