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 |
---|---|---|---|---|---|---|---|---|---|
2342 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_7$ | 0.5895 | 0.7432 | 0.7932 | [X:[], M:[1.0, 1.0816, 0.8368, 0.7041, 0.7551, 1.1632, 1.2959], q:[0.7704, 0.2296], qb:[0.6072, 0.5561], phi:[0.4592]] | [X:[], M:[[0], [4], [-8], [10], [-12], [8], [-10]], q:[[1], [-1]], qb:[[-7], [15]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1$, $ M_2$, $ M_6$, $ M_7$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1M_5$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_5$, $ \phi_1^2q_2^4$, $ \phi_1q_1\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_5M_6$, $ M_2q_2\tilde{q}_1$ | . | -1 | t^2.27 + t^2.36 + t^2.51 + t^2.76 + t^3. + t^3.24 + t^3.49 + t^3.89 + t^3.98 + t^4.13 + t^4.53 + t^4.62 + 2*t^4.71 + t^4.78 + t^4.87 + 2*t^5.02 + t^5.11 + 2*t^5.27 + t^5.36 + 3*t^5.51 + t^5.6 + 2*t^5.76 - t^6. + 2*t^6.24 + t^6.34 + t^6.4 + 2*t^6.49 + t^6.64 + t^6.8 + t^6.89 + 2*t^6.98 + t^7.04 + 2*t^7.07 + t^7.13 + t^7.22 + 2*t^7.29 + t^7.38 + 2*t^7.47 + 2*t^7.53 + t^7.71 + 4*t^7.78 + 2*t^7.87 + 2*t^7.96 + 4*t^8.02 + t^8.11 + t^8.2 + t^8.27 - 2*t^8.36 + t^8.6 + t^8.66 + 2*t^8.69 - t^8.76 + 2*t^8.85 + t^8.91 - t^4.38/y - t^6.64/y + t^7.62/y + t^7.78/y + t^7.87/y + t^8.02/y + (2*t^8.11)/y + (2*t^8.27)/y + t^8.36/y + (2*t^8.51)/y + t^8.6/y + (3*t^8.76)/y + t^8.85/y - t^8.91/y - t^4.38*y - t^6.64*y + t^7.62*y + t^7.78*y + t^7.87*y + t^8.02*y + 2*t^8.11*y + 2*t^8.27*y + t^8.36*y + 2*t^8.51*y + t^8.6*y + 3*t^8.76*y + t^8.85*y - t^8.91*y | t^2.27/g1^12 + g1^14*t^2.36 + t^2.51/g1^8 + t^2.76/g1^4 + t^3. + g1^4*t^3.24 + g1^8*t^3.49 + t^3.89/g1^10 + g1^16*t^3.98 + t^4.13/g1^6 + t^4.53/g1^24 + g1^2*t^4.62 + 2*g1^28*t^4.71 + t^4.78/g1^20 + g1^6*t^4.87 + (2*t^5.02)/g1^16 + g1^10*t^5.11 + (2*t^5.27)/g1^12 + g1^14*t^5.36 + (3*t^5.51)/g1^8 + g1^18*t^5.6 + (2*t^5.76)/g1^4 - t^6. + 2*g1^4*t^6.24 + g1^30*t^6.34 + t^6.4/g1^18 + 2*g1^8*t^6.49 + t^6.64/g1^14 + t^6.8/g1^36 + t^6.89/g1^10 + 2*g1^16*t^6.98 + t^7.04/g1^32 + 2*g1^42*t^7.07 + t^7.13/g1^6 + g1^20*t^7.22 + (2*t^7.29)/g1^28 + t^7.38/g1^2 + 2*g1^24*t^7.47 + (2*t^7.53)/g1^24 + g1^28*t^7.71 + (4*t^7.78)/g1^20 + 2*g1^6*t^7.87 + 2*g1^32*t^7.96 + (4*t^8.02)/g1^16 + g1^10*t^8.11 + g1^36*t^8.2 + t^8.27/g1^12 - 2*g1^14*t^8.36 + g1^18*t^8.6 + t^8.66/g1^30 + 2*g1^44*t^8.69 - t^8.76/g1^4 + 2*g1^22*t^8.85 + t^8.91/g1^26 - t^4.38/(g1^2*y) - t^6.64/(g1^14*y) + (g1^2*t^7.62)/y + t^7.78/(g1^20*y) + (g1^6*t^7.87)/y + t^8.02/(g1^16*y) + (2*g1^10*t^8.11)/y + (2*t^8.27)/(g1^12*y) + (g1^14*t^8.36)/y + (2*t^8.51)/(g1^8*y) + (g1^18*t^8.6)/y + (3*t^8.76)/(g1^4*y) + (g1^22*t^8.85)/y - t^8.91/(g1^26*y) - (t^4.38*y)/g1^2 - (t^6.64*y)/g1^14 + g1^2*t^7.62*y + (t^7.78*y)/g1^20 + g1^6*t^7.87*y + (t^8.02*y)/g1^16 + 2*g1^10*t^8.11*y + (2*t^8.27*y)/g1^12 + g1^14*t^8.36*y + (2*t^8.51*y)/g1^8 + g1^18*t^8.6*y + (3*t^8.76*y)/g1^4 + g1^22*t^8.85*y - (t^8.91*y)/g1^26 |
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 |
---|---|---|---|---|---|---|---|---|
4341 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_7$ + $ M_8\phi_1q_2^2$ | 0.5822 | 0.7311 | 0.7964 | [X:[], M:[1.0, 1.0786, 0.8427, 0.6966, 0.7641, 1.1573, 1.3034, 1.0786], q:[0.7697, 0.2303], qb:[0.6124, 0.5449], phi:[0.4607]] | t^2.29 + t^2.33 + t^2.53 + t^3. + 2*t^3.24 + t^3.47 + t^3.91 + t^3.94 + t^4.15 + t^4.58 + t^4.62 + 2*t^4.65 + t^4.82 + t^4.85 + t^5.06 + t^5.29 + t^5.33 + 3*t^5.53 + 2*t^5.56 + 2*t^5.76 - 2*t^6. - t^4.38/y - t^4.38*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 |
---|---|---|---|---|---|---|---|---|---|
1298 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_6q_2\tilde{q}_1$ | 0.61 | 0.7825 | 0.7796 | [X:[], M:[1.0, 1.0801, 0.8398, 0.7003, 0.7597, 1.1602], q:[0.77, 0.23], qb:[0.6098, 0.5504], phi:[0.4599]] | t^2.1 + t^2.28 + t^2.34 + t^2.52 + t^2.76 + t^3. + t^3.24 + t^3.48 + t^3.96 + t^4.14 + t^4.2 + t^4.38 + t^4.44 + t^4.56 + 2*t^4.62 + 2*t^4.68 + t^4.8 + 2*t^4.86 + 2*t^5.04 + 2*t^5.1 + 2*t^5.28 + 2*t^5.34 + 3*t^5.52 + 2*t^5.58 + 2*t^5.76 - t^6. - t^4.38/y - t^4.38*y | detail |