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 |
---|---|---|---|---|---|---|---|---|---|
46801 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1^4$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ | 0.6571 | 0.8477 | 0.7752 | [X:[], M:[1.1128, 1.1616, 0.7744, 0.6768, 0.7256], q:[0.4756, 0.4116], qb:[0.3628, 0.75], phi:[0.5]] | [X:[], M:[[1], [-3], [-2], [6], [2]], q:[[2], [-3]], qb:[[1], [0]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_5$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ \phi_1q_1q_2$, $ M_4M_5$, $ M_3M_4$, $ M_5^2$, $ \phi_1q_1^2$, $ M_4q_2\tilde{q}_1$, $ M_3M_5$, $ M_5q_2\tilde{q}_1$, $ M_3^2$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1M_4$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_1M_5$, $ M_4q_2\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_2M_5$, $ M_5q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_2M_3$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$ | . | -1 | t^2.03 + t^2.18 + 2*t^2.32 + t^3. + 2*t^3.34 + 2*t^3.48 + t^3.68 + t^4.02 + t^4.06 + t^4.16 + t^4.21 + 4*t^4.35 + 2*t^4.5 + 3*t^4.65 + t^5.03 + t^5.18 + 2*t^5.32 + 2*t^5.37 + 4*t^5.52 + 5*t^5.66 + t^5.71 + 3*t^5.81 - t^6. + t^6.05 + t^6.09 - t^6.15 + t^6.19 + t^6.24 + 2*t^6.34 + 4*t^6.38 + 2*t^6.48 + 4*t^6.53 + 8*t^6.68 + 5*t^6.82 + 6*t^6.97 + t^7.02 + t^7.06 - t^7.16 + t^7.21 - 2*t^7.31 + 4*t^7.35 + 2*t^7.4 + 2*t^7.5 + 4*t^7.55 + 2*t^7.65 + 8*t^7.69 + t^7.74 + 7*t^7.84 + 5*t^7.98 + t^8.08 + t^8.12 + 4*t^8.13 - 5*t^8.18 + t^8.22 + t^8.27 - 4*t^8.32 + 3*t^8.37 + 4*t^8.41 - 2*t^8.47 + 3*t^8.52 + 4*t^8.56 + 2*t^8.66 + 11*t^8.71 + 2*t^8.81 + 9*t^8.85 - t^4.5/y - t^6.53/y - t^6.68/y - t^6.82/y + t^7.02/y + t^7.16/y + t^7.21/y + (2*t^7.35)/y + (2*t^7.5)/y + t^7.65/y - t^7.84/y - t^7.98/y + t^8.03/y + (2*t^8.18)/y + (3*t^8.32)/y + (2*t^8.37)/y + t^8.47/y + (4*t^8.52)/y - t^8.56/y + (6*t^8.66)/y + (4*t^8.81)/y - t^8.85/y - t^4.5*y - t^6.53*y - t^6.68*y - t^6.82*y + t^7.02*y + t^7.16*y + t^7.21*y + 2*t^7.35*y + 2*t^7.5*y + t^7.65*y - t^7.84*y - t^7.98*y + t^8.03*y + 2*t^8.18*y + 3*t^8.32*y + 2*t^8.37*y + t^8.47*y + 4*t^8.52*y - t^8.56*y + 6*t^8.66*y + 4*t^8.81*y - t^8.85*y | g1^6*t^2.03 + g1^2*t^2.18 + (2*t^2.32)/g1^2 + t^3. + 2*g1*t^3.34 + (2*t^3.48)/g1^3 + g1^2*t^3.68 + g1^3*t^4.02 + g1^12*t^4.06 + t^4.16/g1 + g1^8*t^4.21 + 4*g1^4*t^4.35 + 2*t^4.5 + (3*t^4.65)/g1^4 + g1^6*t^5.03 + g1^2*t^5.18 + (2*t^5.32)/g1^2 + 2*g1^7*t^5.37 + 4*g1^3*t^5.52 + (5*t^5.66)/g1 + g1^8*t^5.71 + (3*t^5.81)/g1^5 - t^6. + g1^9*t^6.05 + g1^18*t^6.09 - t^6.15/g1^4 + g1^5*t^6.19 + g1^14*t^6.24 + 2*g1*t^6.34 + 4*g1^10*t^6.38 + (2*t^6.48)/g1^3 + 4*g1^6*t^6.53 + 8*g1^2*t^6.68 + (5*t^6.82)/g1^2 + (6*t^6.97)/g1^6 + g1^3*t^7.02 + g1^12*t^7.06 - t^7.16/g1 + g1^8*t^7.21 - (2*t^7.31)/g1^5 + 4*g1^4*t^7.35 + 2*g1^13*t^7.4 + 2*t^7.5 + 4*g1^9*t^7.55 + (2*t^7.65)/g1^4 + 8*g1^5*t^7.69 + g1^14*t^7.74 + 7*g1*t^7.84 + (5*t^7.98)/g1^3 + g1^15*t^8.08 + g1^24*t^8.12 + (4*t^8.13)/g1^7 - 5*g1^2*t^8.18 + g1^11*t^8.22 + g1^20*t^8.27 - (4*t^8.32)/g1^2 + 3*g1^7*t^8.37 + 4*g1^16*t^8.41 - (2*t^8.47)/g1^6 + 3*g1^3*t^8.52 + 4*g1^12*t^8.56 + (2*t^8.66)/g1 + 11*g1^8*t^8.71 + (2*t^8.81)/g1^5 + 9*g1^4*t^8.85 - t^4.5/y - (g1^6*t^6.53)/y - (g1^2*t^6.68)/y - t^6.82/(g1^2*y) + (g1^3*t^7.02)/y + t^7.16/(g1*y) + (g1^8*t^7.21)/y + (2*g1^4*t^7.35)/y + (2*t^7.5)/y + t^7.65/(g1^4*y) - (g1*t^7.84)/y - t^7.98/(g1^3*y) + (g1^6*t^8.03)/y + (2*g1^2*t^8.18)/y + (3*t^8.32)/(g1^2*y) + (2*g1^7*t^8.37)/y + t^8.47/(g1^6*y) + (4*g1^3*t^8.52)/y - (g1^12*t^8.56)/y + (6*t^8.66)/(g1*y) + (4*t^8.81)/(g1^5*y) - (g1^4*t^8.85)/y - t^4.5*y - g1^6*t^6.53*y - g1^2*t^6.68*y - (t^6.82*y)/g1^2 + g1^3*t^7.02*y + (t^7.16*y)/g1 + g1^8*t^7.21*y + 2*g1^4*t^7.35*y + 2*t^7.5*y + (t^7.65*y)/g1^4 - g1*t^7.84*y - (t^7.98*y)/g1^3 + g1^6*t^8.03*y + 2*g1^2*t^8.18*y + (3*t^8.32*y)/g1^2 + 2*g1^7*t^8.37*y + (t^8.47*y)/g1^6 + 4*g1^3*t^8.52*y - g1^12*t^8.56*y + (6*t^8.66*y)/g1 + (4*t^8.81*y)/g1^5 - g1^4*t^8.85*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 |
---|---|---|---|---|---|---|---|---|
55274 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1^4$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ | 0.6369 | 0.8199 | 0.7768 | [X:[], M:[1.1429, 1.0714, 0.7143, 0.8571, 0.7857], q:[0.5357, 0.3214], qb:[0.3929, 0.75], phi:[0.5]] | 2*t^2.14 + t^2.36 + t^2.57 + t^3. + 2*t^3.21 + 2*t^3.43 + t^3.86 + t^4.07 + 4*t^4.29 + 2*t^4.5 + 4*t^4.71 + t^4.93 + 3*t^5.14 + 4*t^5.36 + 6*t^5.57 + 3*t^5.79 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 7989/12544, c: 10285/12544, M1: 8/7, M2: 15/14, M3: 5/7, M4: 6/7, M5: 11/14, q1: 15/28, q2: 9/28, qb1: 11/28, qb2: 3/4, phi1: 1/2} |
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 |
---|---|---|---|---|---|---|---|---|---|
46776 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1^4$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6633 | 0.8593 | 0.772 | [X:[], M:[1.1588, 1.1588, 0.6825, 0.6825, 0.6825], q:[0.4325, 0.4088], qb:[0.4088, 0.75], phi:[0.5]] | 3*t^2.05 + t^2.45 + t^3. + 4*t^3.48 + t^3.55 + 2*t^4.02 + 7*t^4.09 + 3*t^4.5 + t^4.91 + 3*t^5.05 + t^5.45 + 12*t^5.52 + 3*t^5.59 + 2*t^5.93 - 4*t^6. - t^4.5/y - t^4.5*y | detail |