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 |
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1093 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ | 0.6949 | 0.8621 | 0.8061 | [X:[], M:[1.0, 1.1163, 0.9767, 0.8837, 0.7674, 0.7907], q:[0.7791, 0.4302], qb:[0.5698, 0.4535], phi:[0.4419]] | [X:[], M:[[0], [4], [-18], [-4], [-8], [10]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_6$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ \phi_1\tilde{q}_1^2$, $ M_4M_5$, $ M_5\phi_1^2$, $ M_4M_6$, $ M_6\phi_1^2$, $ M_3M_5$, $ M_4^2$, $ M_1M_5$, $ M_3M_6$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_1M_6$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_3^2$ | . | -2 | t^2.3 + t^2.37 + 2*t^2.65 + t^2.93 + t^3. + t^3.91 + t^3.98 + 2*t^4.05 + t^4.33 + t^4.4 + t^4.6 + t^4.67 + 2*t^4.74 + 2*t^4.95 + 2*t^5.02 + t^5.23 + 5*t^5.3 + t^5.37 + t^5.58 + t^5.65 + t^5.86 - 2*t^6. - t^6.07 + t^6.21 + t^6.28 + t^6.35 + t^6.42 + 2*t^6.56 + 2*t^6.63 + 4*t^6.7 + t^6.77 + t^6.84 + 2*t^6.91 + 3*t^6.98 + 4*t^7.05 + 2*t^7.12 + t^7.26 + t^7.33 + 2*t^7.4 + t^7.53 + 4*t^7.6 + 3*t^7.67 + t^7.81 + 2*t^7.88 + 7*t^7.95 + t^8.02 + t^8.09 + t^8.16 + 3*t^8.23 - t^8.3 - 3*t^8.37 + 2*t^8.51 - 3*t^8.65 - 2*t^8.72 + 4*t^8.79 + 2*t^8.86 - t^4.33/y - t^6.63/y - t^6.7/y - t^6.98/y - t^7.26/y + t^7.4/y + (2*t^7.67)/y + (3*t^7.95)/y + (3*t^8.02)/y + t^8.23/y + (3*t^8.3)/y + t^8.37/y + (2*t^8.58)/y + (2*t^8.65)/y - t^4.33*y - t^6.63*y - t^6.7*y - t^6.98*y - t^7.26*y + t^7.4*y + 2*t^7.67*y + 3*t^7.95*y + 3*t^8.02*y + t^8.23*y + 3*t^8.3*y + t^8.37*y + 2*t^8.58*y + 2*t^8.65*y | t^2.3/g1^8 + g1^10*t^2.37 + (2*t^2.65)/g1^4 + t^2.93/g1^18 + t^3. + t^3.91/g1^24 + t^3.98/g1^6 + 2*g1^12*t^4.05 + t^4.33/g1^2 + g1^16*t^4.4 + t^4.6/g1^16 + g1^2*t^4.67 + 2*g1^20*t^4.74 + (2*t^4.95)/g1^12 + 2*g1^6*t^5.02 + t^5.23/g1^26 + (5*t^5.3)/g1^8 + g1^10*t^5.37 + t^5.58/g1^22 + t^5.65/g1^4 + t^5.86/g1^36 - 2*t^6. - g1^18*t^6.07 + t^6.21/g1^32 + t^6.28/g1^14 + g1^4*t^6.35 + g1^22*t^6.42 + (2*t^6.56)/g1^28 + (2*t^6.63)/g1^10 + 4*g1^8*t^6.7 + g1^26*t^6.77 + t^6.84/g1^42 + (2*t^6.91)/g1^24 + (3*t^6.98)/g1^6 + 4*g1^12*t^7.05 + 2*g1^30*t^7.12 + t^7.26/g1^20 + t^7.33/g1^2 + 2*g1^16*t^7.4 + t^7.53/g1^34 + (4*t^7.6)/g1^16 + 3*g1^2*t^7.67 + t^7.81/g1^48 + (2*t^7.88)/g1^30 + (7*t^7.95)/g1^12 + g1^6*t^8.02 + g1^24*t^8.09 + t^8.16/g1^44 + (3*t^8.23)/g1^26 - t^8.3/g1^8 - 3*g1^10*t^8.37 + (2*t^8.51)/g1^40 - (3*t^8.65)/g1^4 - 2*g1^14*t^8.72 + t^8.79/g1^54 + 3*g1^32*t^8.79 + (2*t^8.86)/g1^36 - t^4.33/(g1^2*y) - t^6.63/(g1^10*y) - (g1^8*t^6.7)/y - t^6.98/(g1^6*y) - t^7.26/(g1^20*y) + (g1^16*t^7.4)/y + (2*g1^2*t^7.67)/y + (3*t^7.95)/(g1^12*y) + (3*g1^6*t^8.02)/y + t^8.23/(g1^26*y) + (3*t^8.3)/(g1^8*y) + (g1^10*t^8.37)/y + (2*t^8.58)/(g1^22*y) + (2*t^8.65)/(g1^4*y) - (t^4.33*y)/g1^2 - (t^6.63*y)/g1^10 - g1^8*t^6.7*y - (t^6.98*y)/g1^6 - (t^7.26*y)/g1^20 + g1^16*t^7.4*y + 2*g1^2*t^7.67*y + (3*t^7.95*y)/g1^12 + 3*g1^6*t^8.02*y + (t^8.23*y)/g1^26 + (3*t^8.3*y)/g1^8 + g1^10*t^8.37*y + (2*t^8.58*y)/g1^22 + (2*t^8.65*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
1697 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_3M_5$ | 0.6679 | 0.8314 | 0.8034 | [X:[], M:[1.0, 1.0769, 1.1538, 0.9231, 0.8462, 0.6923], q:[0.7692, 0.5385], qb:[0.4615, 0.3846], phi:[0.4615]] | t^2.08 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + 2*t^3.69 + t^3.92 + 3*t^4.15 + t^4.38 + 2*t^4.62 + 2*t^4.85 + 2*t^5.08 + 2*t^5.31 + 4*t^5.54 + 2*t^5.77 - t^4.38/y - t^4.38*y | detail | {a: 903/1352, c: 281/338, M1: 1, M2: 14/13, M3: 15/13, M4: 12/13, M5: 11/13, M6: 9/13, q1: 10/13, q2: 7/13, qb1: 6/13, qb2: 5/13, phi1: 6/13} |
1699 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_7\phi_1q_2^2$ | 0.7156 | 0.9021 | 0.7932 | [X:[], M:[1.0, 1.1145, 0.9849, 0.8855, 0.771, 0.7862, 0.6869], q:[0.7786, 0.4352], qb:[0.5648, 0.4503], phi:[0.4428]] | t^2.06 + t^2.31 + t^2.36 + 2*t^2.66 + t^2.95 + t^3. + t^3.98 + 2*t^4.03 + t^4.12 + t^4.33 + 2*t^4.37 + t^4.42 + t^4.63 + t^4.67 + 4*t^4.72 + 2*t^4.97 + 3*t^5.02 + t^5.06 + t^5.27 + 5*t^5.31 + t^5.36 + t^5.61 + t^5.66 + t^5.91 - 2*t^6. - t^4.33/y - t^4.33*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 |
---|---|---|---|---|---|---|---|---|---|
681 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ | 0.6782 | 0.8333 | 0.8139 | [X:[], M:[1.0, 1.1204, 0.9582, 0.8796, 0.7592], q:[0.7801, 0.4189], qb:[0.5811, 0.4607], phi:[0.4398]] | t^2.28 + 2*t^2.64 + t^2.87 + t^3. + t^3.6 + t^3.83 + t^3.96 + 2*t^4.08 + t^4.32 + t^4.44 + t^4.56 + t^4.81 + 2*t^4.92 + t^5.15 + 4*t^5.28 + t^5.51 + t^5.64 + t^5.75 + t^5.87 - 2*t^6. - t^4.32/y - t^4.32*y | detail |