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 |
---|---|---|---|---|---|---|---|---|---|
960 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_3^2$ | 0.6958 | 0.8515 | 0.8172 | [X:[], M:[0.9451, 1.0183, 1.0, 0.9634, 1.0366], q:[0.5458, 0.5092], qb:[0.4542, 0.5275], phi:[0.4908]] | [X:[], M:[[-6], [2], [0], [-4], [4]], q:[[5], [1]], qb:[[-5], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_2$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1^2$, $ M_4^2$, $ M_1\phi_1^2$, $ M_1M_3$, $ M_4\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_2M_4$, $ M_1M_5$, $ M_3\phi_1^2$ | . | -1 | t^2.84 + t^2.89 + t^2.95 + t^3. + t^3.05 + t^3.11 + t^3.22 + t^4.2 + t^4.36 + t^4.42 + t^4.47 + t^4.53 + t^4.58 + 2*t^4.64 + t^4.69 + t^4.75 + t^5.67 + t^5.78 + t^5.84 + 2*t^5.89 + t^5.95 - t^6. + t^6.05 + t^6.11 + t^6.16 + t^6.22 + t^6.33 + t^6.44 + t^7.03 + t^7.09 + t^7.14 + t^7.2 + t^7.25 + 2*t^7.31 + 2*t^7.36 + 2*t^7.42 + 2*t^7.47 + 2*t^7.53 + 3*t^7.58 + 3*t^7.64 + 2*t^7.69 + 2*t^7.75 + t^7.8 + 2*t^7.86 + t^7.91 + t^7.97 + t^8.4 + t^8.51 + t^8.56 + t^8.62 + t^8.67 + 2*t^8.73 + t^8.78 + t^8.84 - t^8.95 - t^4.47/y - t^7.31/y + t^7.64/y + t^8.73/y + t^8.78/y + (2*t^8.84)/y + (2*t^8.89)/y + (3*t^8.95)/y - t^4.47*y - t^7.31*y + t^7.64*y + t^8.73*y + t^8.78*y + 2*t^8.84*y + 2*t^8.89*y + 3*t^8.95*y | t^2.84/g1^6 + t^2.89/g1^4 + t^2.95/g1^2 + t^3. + g1^2*t^3.05 + g1^4*t^3.11 + g1^8*t^3.22 + t^4.2/g1^11 + t^4.36/g1^5 + t^4.42/g1^3 + t^4.47/g1 + g1*t^4.53 + g1^3*t^4.58 + 2*g1^5*t^4.64 + g1^7*t^4.69 + g1^9*t^4.75 + t^5.67/g1^12 + t^5.78/g1^8 + t^5.84/g1^6 + (2*t^5.89)/g1^4 + t^5.95/g1^2 - t^6. + g1^2*t^6.05 + g1^4*t^6.11 + g1^6*t^6.16 + g1^8*t^6.22 + g1^12*t^6.33 + g1^16*t^6.44 + t^7.03/g1^17 + t^7.09/g1^15 + t^7.14/g1^13 + t^7.2/g1^11 + t^7.25/g1^9 + (2*t^7.31)/g1^7 + (2*t^7.36)/g1^5 + (2*t^7.42)/g1^3 + (2*t^7.47)/g1 + 2*g1*t^7.53 + 3*g1^3*t^7.58 + 3*g1^5*t^7.64 + 2*g1^7*t^7.69 + 2*g1^9*t^7.75 + g1^11*t^7.8 + 2*g1^13*t^7.86 + g1^15*t^7.91 + g1^17*t^7.97 + t^8.4/g1^22 + t^8.51/g1^18 + t^8.56/g1^16 + t^8.62/g1^14 + t^8.67/g1^12 + (2*t^8.73)/g1^10 + t^8.78/g1^8 + t^8.84/g1^6 - t^8.95/g1^2 - t^4.47/(g1*y) - t^7.31/(g1^7*y) + (g1^5*t^7.64)/y + t^8.73/(g1^10*y) + t^8.78/(g1^8*y) + (2*t^8.84)/(g1^6*y) + (2*t^8.89)/(g1^4*y) + (3*t^8.95)/(g1^2*y) - (t^4.47*y)/g1 - (t^7.31*y)/g1^7 + g1^5*t^7.64*y + (t^8.73*y)/g1^10 + (t^8.78*y)/g1^8 + (2*t^8.84*y)/g1^6 + (2*t^8.89*y)/g1^4 + (3*t^8.95*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
1492 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_3^2$ + $ M_5M_6$ | 0.6999 | 0.8585 | 0.8152 | [X:[], M:[0.9245, 1.0252, 1.0, 0.9496, 1.0504, 0.9496], q:[0.563, 0.5126], qb:[0.437, 0.5378], phi:[0.4874]] | t^2.77 + 2*t^2.85 + t^2.92 + t^3. + t^3.08 + t^3.3 + t^4.08 + t^4.31 + t^4.39 + t^4.46 + t^4.54 + t^4.61 + 2*t^4.69 + t^4.76 + t^4.84 + t^5.55 + t^5.62 + 3*t^5.7 + 2*t^5.77 + 3*t^5.85 + t^5.92 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
1494 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_3^2$ + $ M_6\phi_1^2$ | 0.6943 | 0.8491 | 0.8176 | [X:[], M:[0.9557, 1.0148, 1.0, 0.9705, 1.0295, 1.0148], q:[0.5369, 0.5074], qb:[0.4631, 0.5222], phi:[0.4926]] | t^2.87 + t^2.91 + t^3. + 2*t^3.04 + t^3.09 + t^3.18 + t^4.26 + t^4.39 + t^4.43 + t^4.48 + t^4.52 + t^4.57 + 2*t^4.61 + t^4.66 + t^4.7 + t^5.73 + 2*t^5.91 + t^5.96 - 2*t^6. - t^4.48/y - t^4.48*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 |
---|---|---|---|---|---|---|---|---|---|
600 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ | 0.7101 | 0.8727 | 0.8137 | [X:[], M:[0.8432, 1.0523, 0.8729, 1.0226, 0.9774], q:[0.6307, 0.5261], qb:[0.4964, 0.4513], phi:[0.4739]] | t^2.53 + t^2.62 + t^2.84 + t^2.93 + t^3.07 + t^3.16 + t^3.25 + t^4.13 + t^4.26 + t^4.35 + t^4.4 + t^4.49 + t^4.58 + t^4.67 + t^4.8 + t^4.89 + t^5.06 + t^5.15 + t^5.21 + t^5.24 + t^5.37 + t^5.46 + t^5.55 + 2*t^5.69 + 2*t^5.78 + t^5.86 - 2*t^6. - t^4.42/y - t^4.42*y | detail |