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 |
---|---|---|---|---|---|---|---|---|---|
47226 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.6486 | 0.8552 | 0.7584 | [M:[0.9749, 0.7186, 0.7688, 0.7688, 1.0251], q:[0.7437, 0.2814], qb:[0.4875, 0.4373], phi:[0.5125]] | [M:[[4], [5], [-3], [-3], [-4]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -3 | 2*t^2.156 + 3*t^2.306 + t^2.774 + 2*t^3.075 + t^3.226 + t^3.543 + t^4.161 + 4*t^4.312 + 7*t^4.462 + 6*t^4.613 + 2*t^4.93 + 3*t^5.081 + 4*t^5.231 + 7*t^5.382 + 2*t^5.532 + t^5.548 + 2*t^5.699 + 3*t^5.849 - 3*t^6. + 2*t^6.301 + 3*t^6.317 + t^6.452 + 7*t^6.468 + 12*t^6.618 + 12*t^6.769 + 7*t^6.919 + t^6.936 - t^7.07 + 4*t^7.086 + 7*t^7.237 + 9*t^7.387 + 11*t^7.538 + 12*t^7.688 + 3*t^7.704 + 3*t^7.839 + 6*t^7.855 + 3*t^8.005 - 4*t^8.156 - 10*t^8.306 + 2*t^8.323 + 2*t^8.457 + 6*t^8.473 + 5*t^8.607 + 14*t^8.624 + 2*t^8.758 + 15*t^8.774 + 16*t^8.925 - t^4.538/y - t^6.694/y - (2*t^6.844)/y + t^7.312/y + (7*t^7.462)/y + (2*t^7.613)/y + (2*t^7.93)/y + (3*t^8.081)/y + (6*t^8.231)/y + (9*t^8.382)/y + (3*t^8.532)/y + (2*t^8.699)/y + (4*t^8.849)/y - t^4.538*y - t^6.694*y - 2*t^6.844*y + t^7.312*y + 7*t^7.462*y + 2*t^7.613*y + 2*t^7.93*y + 3*t^8.081*y + 6*t^8.231*y + 9*t^8.382*y + 3*t^8.532*y + 2*t^8.699*y + 4*t^8.849*y | 2*g1^5*t^2.156 + (3*t^2.306)/g1^3 + g1^12*t^2.774 + (2*t^3.075)/g1^4 + t^3.226/g1^12 + g1^11*t^3.543 + g1^18*t^4.161 + 4*g1^10*t^4.312 + 7*g1^2*t^4.462 + (6*t^4.613)/g1^6 + 2*g1^17*t^4.93 + 3*g1^9*t^5.081 + 4*g1*t^5.231 + (7*t^5.382)/g1^7 + (2*t^5.532)/g1^15 + g1^24*t^5.548 + 2*g1^16*t^5.699 + 3*g1^8*t^5.849 - 3*t^6. + (2*t^6.301)/g1^16 + 3*g1^23*t^6.317 + t^6.452/g1^24 + 7*g1^15*t^6.468 + 12*g1^7*t^6.618 + (12*t^6.769)/g1 + (7*t^6.919)/g1^9 + g1^30*t^6.936 - t^7.07/g1^17 + 4*g1^22*t^7.086 + 7*g1^14*t^7.237 + 9*g1^6*t^7.387 + (11*t^7.538)/g1^2 + (12*t^7.688)/g1^10 + 3*g1^29*t^7.704 + (3*t^7.839)/g1^18 + 6*g1^21*t^7.855 + 3*g1^13*t^8.005 - 4*g1^5*t^8.156 - (10*t^8.306)/g1^3 + 2*g1^36*t^8.323 + (2*t^8.457)/g1^11 + 6*g1^28*t^8.473 + (5*t^8.607)/g1^19 + 14*g1^20*t^8.624 + (2*t^8.758)/g1^27 + 15*g1^12*t^8.774 + 16*g1^4*t^8.925 - t^4.538/(g1^2*y) - (g1^3*t^6.694)/y - (2*t^6.844)/(g1^5*y) + (g1^10*t^7.312)/y + (7*g1^2*t^7.462)/y + (2*t^7.613)/(g1^6*y) + (2*g1^17*t^7.93)/y + (3*g1^9*t^8.081)/y + (6*g1*t^8.231)/y + (9*t^8.382)/(g1^7*y) + (3*t^8.532)/(g1^15*y) + (2*g1^16*t^8.699)/y + (4*g1^8*t^8.849)/y - (t^4.538*y)/g1^2 - g1^3*t^6.694*y - (2*t^6.844*y)/g1^5 + g1^10*t^7.312*y + 7*g1^2*t^7.462*y + (2*t^7.613*y)/g1^6 + 2*g1^17*t^7.93*y + 3*g1^9*t^8.081*y + 6*g1*t^8.231*y + (9*t^8.382*y)/g1^7 + (3*t^8.532*y)/g1^15 + 2*g1^16*t^8.699*y + 4*g1^8*t^8.849*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 |
---|---|---|---|---|---|---|---|---|
50994 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6647 | 0.883 | 0.7528 | [M:[0.9839, 0.7299, 0.7621, 0.7621, 1.0161, 0.7942], q:[0.746, 0.2701], qb:[0.492, 0.4598], phi:[0.508]] | 2*t^2.19 + 3*t^2.286 + t^2.383 + t^2.855 + 2*t^3.048 + t^3.145 + t^4.283 + 4*t^4.379 + 7*t^4.476 + 8*t^4.572 + 3*t^4.669 + t^4.765 + 2*t^5.045 + 3*t^5.141 + 5*t^5.238 + 7*t^5.334 + 4*t^5.431 + t^5.527 + t^5.71 - 3*t^6. - t^4.524/y - t^4.524*y | detail | |
54251 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6438 | 0.8465 | 0.7605 | [M:[0.9908, 0.7385, 0.7569, 0.7569, 1.0092, 1.0275], q:[0.7477, 0.2615], qb:[0.4954, 0.477], phi:[0.5046]] | 2*t^2.216 + 3*t^2.271 + 2*t^3.028 + 2*t^3.083 + t^3.674 + t^4.376 + 4*t^4.431 + 7*t^4.486 + 6*t^4.541 + 4*t^5.243 + 9*t^5.298 + 5*t^5.353 + 2*t^5.89 + t^5.945 - 4*t^6. - t^4.514/y - t^4.514*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 |
---|---|---|---|---|---|---|---|---|---|
46684 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6512 | 0.8604 | 0.7568 | [M:[0.9698, 0.7122, 0.7727, 0.7727], q:[0.7424, 0.2878], qb:[0.4849, 0.4244], phi:[0.5151]] | 2*t^2.137 + 3*t^2.318 + t^2.728 + t^2.909 + t^3.091 + t^3.272 + t^3.501 + t^4.092 + 4*t^4.273 + 7*t^4.455 + 6*t^4.636 + 2*t^4.865 + 5*t^5.046 + 5*t^5.227 + 4*t^5.409 + t^5.456 + 2*t^5.59 + 3*t^5.637 + 3*t^5.819 - 2*t^6. - t^4.545/y - t^4.545*y | detail |