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 |
---|---|---|---|---|---|---|---|---|---|
3345 | 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_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_5$ | 0.651 | 0.8622 | 0.755 | [X:[], M:[0.9518, 1.1446, 0.759, 0.7169, 0.8554, 0.8134], q:[0.7379, 0.3103], qb:[0.4067, 0.4487], phi:[0.5241]] | [X:[], M:[[4], [-12], [20], [-18], [12], [-26]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ q_2\tilde{q}_1$, $ M_3$, $ q_2\tilde{q}_2$, $ M_6$, $ M_5$, $ M_1$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_3M_4$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_6$, $ M_6q_2\tilde{q}_1$, $ M_4M_5$, $ M_3M_6$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_3M_5$, $ M_5q_2\tilde{q}_2$, $ M_6^2$, $ M_1M_4$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ M_5^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_6$, $ M_4\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1M_5$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_4$, $ M_6\phi_1^2$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_1^2$, $ M_2M_3$, $ M_5\phi_1^2$, $ M_3\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_6$, $ M_6\phi_1q_2^2$ | $M_5\phi_1q_2^2$ | -1 | 2*t^2.15 + 2*t^2.28 + t^2.44 + t^2.57 + t^2.86 + t^3.14 + 2*t^3.43 + t^4.01 + t^4.14 + t^4.26 + 3*t^4.3 + 4*t^4.43 + 3*t^4.55 + 2*t^4.59 + 4*t^4.72 + 2*t^4.84 + t^4.88 + 3*t^5.01 + 3*t^5.13 + 3*t^5.3 + 3*t^5.42 + 4*t^5.58 + 4*t^5.71 + t^5.87 - t^6. - t^6.13 + 2*t^6.16 + 3*t^6.29 + 2*t^6.42 + 5*t^6.45 + 2*t^6.54 + 8*t^6.58 + 6*t^6.7 + 3*t^6.74 + 5*t^6.83 + 8*t^6.87 + 5*t^6.99 + 2*t^7.03 + 3*t^7.12 + 6*t^7.16 + 5*t^7.28 + t^7.32 + 5*t^7.41 + 6*t^7.45 + 6*t^7.57 + 5*t^7.7 + 7*t^7.74 + 6*t^7.86 + 4*t^7.99 + 3*t^8.02 - 3*t^8.28 + 4*t^8.31 - t^8.4 + 2*t^8.44 + t^8.53 + t^8.57 + 7*t^8.6 + 2*t^8.69 + 11*t^8.73 + 3*t^8.82 + 6*t^8.86 + 5*t^8.89 + 7*t^8.98 - t^4.57/y - t^6.72/y - t^6.85/y - t^7.01/y + t^7.3/y + (4*t^7.43)/y + t^7.55/y + (2*t^7.59)/y + (4*t^7.72)/y + (2*t^7.84)/y + (3*t^8.01)/y + (3*t^8.13)/y + (4*t^8.3)/y + (4*t^8.42)/y + (5*t^8.58)/y + (5*t^8.71)/y + t^8.87/y - t^4.57*y - t^6.72*y - t^6.85*y - t^7.01*y + t^7.3*y + 4*t^7.43*y + t^7.55*y + 2*t^7.59*y + 4*t^7.72*y + 2*t^7.84*y + 3*t^8.01*y + 3*t^8.13*y + 4*t^8.3*y + 4*t^8.42*y + 5*t^8.58*y + 5*t^8.71*y + t^8.87*y | (2*t^2.15)/g1^18 + 2*g1^20*t^2.28 + t^2.44/g1^26 + g1^12*t^2.57 + g1^4*t^2.86 + t^3.14/g1^4 + (2*t^3.43)/g1^12 + t^4.01/g1^28 + g1^10*t^4.14 + g1^48*t^4.26 + (3*t^4.3)/g1^36 + 4*g1^2*t^4.43 + 3*g1^40*t^4.55 + (2*t^4.59)/g1^44 + (4*t^4.72)/g1^6 + 2*g1^32*t^4.84 + t^4.88/g1^52 + (3*t^5.01)/g1^14 + 3*g1^24*t^5.13 + (3*t^5.3)/g1^22 + 3*g1^16*t^5.42 + (4*t^5.58)/g1^30 + 4*g1^8*t^5.71 + t^5.87/g1^38 - t^6. - g1^38*t^6.13 + (2*t^6.16)/g1^46 + (3*t^6.29)/g1^8 + 2*g1^30*t^6.42 + (5*t^6.45)/g1^54 + 2*g1^68*t^6.54 + (8*t^6.58)/g1^16 + 6*g1^22*t^6.7 + (3*t^6.74)/g1^62 + 5*g1^60*t^6.83 + (8*t^6.87)/g1^24 + 5*g1^14*t^6.99 + (2*t^7.03)/g1^70 + 3*g1^52*t^7.12 + (6*t^7.16)/g1^32 + 5*g1^6*t^7.28 + t^7.32/g1^78 + 5*g1^44*t^7.41 + (6*t^7.45)/g1^40 + (6*t^7.57)/g1^2 + 5*g1^36*t^7.7 + (7*t^7.74)/g1^48 + (6*t^7.86)/g1^10 + 4*g1^28*t^7.99 + (3*t^8.02)/g1^56 - 3*g1^20*t^8.28 + (4*t^8.31)/g1^64 - g1^58*t^8.4 + (2*t^8.44)/g1^26 + g1^96*t^8.53 + g1^12*t^8.57 + (7*t^8.6)/g1^72 + 2*g1^50*t^8.69 + (11*t^8.73)/g1^34 + 3*g1^88*t^8.82 + 6*g1^4*t^8.86 + (5*t^8.89)/g1^80 + 7*g1^42*t^8.98 - t^4.57/(g1^2*y) - t^6.72/(g1^20*y) - (g1^18*t^6.85)/y - t^7.01/(g1^28*y) + t^7.3/(g1^36*y) + (4*g1^2*t^7.43)/y + (g1^40*t^7.55)/y + (2*t^7.59)/(g1^44*y) + (4*t^7.72)/(g1^6*y) + (2*g1^32*t^7.84)/y + (3*t^8.01)/(g1^14*y) + (3*g1^24*t^8.13)/y + (4*t^8.3)/(g1^22*y) + (4*g1^16*t^8.42)/y + (5*t^8.58)/(g1^30*y) + (5*g1^8*t^8.71)/y + t^8.87/(g1^38*y) - (t^4.57*y)/g1^2 - (t^6.72*y)/g1^20 - g1^18*t^6.85*y - (t^7.01*y)/g1^28 + (t^7.3*y)/g1^36 + 4*g1^2*t^7.43*y + g1^40*t^7.55*y + (2*t^7.59*y)/g1^44 + (4*t^7.72*y)/g1^6 + 2*g1^32*t^7.84*y + (3*t^8.01*y)/g1^14 + 3*g1^24*t^8.13*y + (4*t^8.3*y)/g1^22 + 4*g1^16*t^8.42*y + (5*t^8.58*y)/g1^30 + 5*g1^8*t^8.71*y + (t^8.87*y)/g1^38 |
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 |
---|---|---|---|---|---|---|---|---|
3797 | $M_1q_1q_2$ + $ 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_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1M_7$ | 0.6466 | 0.8549 | 0.7563 | [X:[], M:[0.9525, 1.1425, 0.7625, 0.7138, 0.8575, 0.8088, 1.0475], q:[0.7381, 0.3094], qb:[0.4044, 0.4531], phi:[0.5238]] | 2*t^2.14 + 2*t^2.29 + t^2.43 + t^2.57 + 2*t^3.14 + 2*t^3.43 + t^4. + t^4.14 + 3*t^4.28 + t^4.29 + 4*t^4.43 + 5*t^4.57 + 4*t^4.71 + t^4.85 + 2*t^4.86 + t^5. + t^5.14 + 4*t^5.28 + 4*t^5.43 + 5*t^5.57 + 4*t^5.71 + t^5.85 - 2*t^6. - t^4.57/y - t^4.57*y | detail | |
3796 | $M_1q_1q_2$ + $ 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_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_5M_7$ | 0.6385 | 0.8413 | 0.759 | [X:[], M:[0.9536, 1.1393, 0.7678, 0.709, 0.8607, 0.8019, 1.1393], q:[0.7384, 0.308], qb:[0.4009, 0.4598], phi:[0.5232]] | 2*t^2.13 + 2*t^2.3 + t^2.41 + t^2.86 + t^3.14 + 3*t^3.42 + t^3.98 + t^4.15 + 3*t^4.25 + t^4.33 + 4*t^4.43 + 2*t^4.53 + 3*t^4.61 + 2*t^4.71 + t^4.81 + 2*t^4.99 + 2*t^5.16 + 3*t^5.27 + 2*t^5.44 + 6*t^5.54 + 5*t^5.72 + 2*t^5.82 - 3*t^6. - t^4.57/y - t^4.57*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 |
---|---|---|---|---|---|---|---|---|---|
2816 | 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_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.6627 | 0.88 | 0.7531 | [X:[], M:[0.9908, 1.0276, 0.7477, 0.7477, 0.7661, 0.7661], q:[0.7477, 0.2615], qb:[0.4862, 0.4862], phi:[0.5046]] | 4*t^2.24 + 2*t^2.3 + t^2.97 + t^3.03 + 2*t^3.08 + 3*t^4.43 + 10*t^4.49 + 8*t^4.54 + 3*t^4.6 + 4*t^5.22 + 6*t^5.27 + 8*t^5.33 + 4*t^5.38 - 5*t^6. - t^4.51/y - t^4.51*y | detail |