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 |
---|---|---|---|---|---|---|---|---|---|
3071 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{5}M_{8}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ | 0.6248 | 0.8112 | 0.7701 | [M:[0.9671, 1.0164, 1.0, 0.7295, 1.2377, 0.7295, 1.0329, 0.7623], q:[0.5164, 0.5164], qb:[0.7541, 0.2459], phi:[0.4918]] | [M:[[0, 8], [0, -4], [0, 0], [1, 9], [-1, -1], [-1, 1], [0, -8], [1, 1]], q:[[-1, -8], [1, 0]], qb:[[0, -1], [0, 1]], phi:[[0, 2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{6}M_{8}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}^{3}$, ${ }M_{2}M_{4}$, ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{8}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -4 | 2*t^2.188 + 2*t^2.287 + t^2.951 + t^3. + t^3.049 + t^3.099 + 2*t^3.762 + 3*t^4.377 + 4*t^4.475 + 6*t^4.574 + 2*t^5.139 + 4*t^5.238 + 4*t^5.287 + 2*t^5.336 + 2*t^5.386 + t^5.901 + 4*t^5.951 - 4*t^6. + 5*t^6.049 + t^6.099 + t^6.148 + t^6.197 + 4*t^6.565 + 4*t^6.664 + 10*t^6.762 - 2*t^6.812 + 10*t^6.861 + 3*t^7.327 - t^7.377 + 7*t^7.426 - t^7.475 + 8*t^7.525 + 6*t^7.574 + 3*t^7.623 + 6*t^7.673 + 2*t^8.09 + 4*t^8.139 - 8*t^8.188 + 8*t^8.238 - 10*t^8.287 + 12*t^8.336 + 2*t^8.386 + 2*t^8.435 + 2*t^8.484 + 5*t^8.754 + 5*t^8.852 + 3*t^8.901 + 5*t^8.951 - t^4.475/y - (2*t^6.664)/y + t^7.377/y + (4*t^7.475)/y + t^7.574/y + (2*t^8.139)/y + (2*t^8.188)/y + (4*t^8.238)/y + (6*t^8.287)/y + (2*t^8.336)/y + (2*t^8.386)/y - (3*t^8.852)/y + (5*t^8.951)/y - t^4.475*y - 2*t^6.664*y + t^7.377*y + 4*t^7.475*y + t^7.574*y + 2*t^8.139*y + 2*t^8.188*y + 4*t^8.238*y + 6*t^8.287*y + 2*t^8.336*y + 2*t^8.386*y - 3*t^8.852*y + 5*t^8.951*y | (g2*t^2.188)/g1 + g1*g2^9*t^2.188 + t^2.287/(g1*g2^7) + g1*g2*t^2.287 + g2^4*t^2.951 + t^3. + t^3.049/g2^4 + t^3.099/g2^8 + t^3.762/(g1*g2^5) + g1*g2^3*t^3.762 + (g2^2*t^4.377)/g1^2 + g2^10*t^4.377 + g1^2*g2^18*t^4.377 + t^4.475/(g1^2*g2^6) + 2*g2^2*t^4.475 + g1^2*g2^10*t^4.475 + (2*t^4.574)/(g1^2*g2^14) + (2*t^4.574)/g2^6 + 2*g1^2*g2^2*t^4.574 + (g2^5*t^5.139)/g1 + g1*g2^13*t^5.139 + (2*t^5.238)/(g1*g2^3) + 2*g1*g2^5*t^5.238 + (2*t^5.287)/(g1*g2^7) + 2*g1*g2*t^5.287 + t^5.336/(g1*g2^11) + (g1*t^5.336)/g2^3 + t^5.386/(g1*g2^15) + (g1*t^5.386)/g2^7 + g2^8*t^5.901 + t^5.951/(g1^2*g2^4) + 2*g2^4*t^5.951 + g1^2*g2^12*t^5.951 - 2*t^6. - t^6./(g1^2*g2^8) - g1^2*g2^8*t^6. + t^6.049/(g1^2*g2^12) + (3*t^6.049)/g2^4 + g1^2*g2^4*t^6.049 + t^6.099/g2^8 + t^6.148/g2^12 + t^6.197/g2^16 + (g2^3*t^6.565)/g1^3 + (g2^11*t^6.565)/g1 + g1*g2^19*t^6.565 + g1^3*g2^27*t^6.565 + t^6.664/(g1^3*g2^5) + (g2^3*t^6.664)/g1 + g1*g2^11*t^6.664 + g1^3*g2^19*t^6.664 + (2*t^6.762)/(g1^3*g2^13) + (3*t^6.762)/(g1*g2^5) + 3*g1*g2^3*t^6.762 + 2*g1^3*g2^11*t^6.762 - t^6.812/(g1*g2^9) - (g1*t^6.812)/g2 + (2*t^6.861)/(g1^3*g2^21) + (3*t^6.861)/(g1*g2^13) + (3*g1*t^6.861)/g2^5 + 2*g1^3*g2^3*t^6.861 + (g2^6*t^7.327)/g1^2 + g2^14*t^7.327 + g1^2*g2^22*t^7.327 - g2^10*t^7.377 + (2*t^7.426)/(g1^2*g2^2) + 3*g2^6*t^7.426 + 2*g1^2*g2^14*t^7.426 - g2^2*t^7.475 + (3*t^7.525)/(g1^2*g2^10) + (2*t^7.525)/g2^2 + 3*g1^2*g2^6*t^7.525 + (2*t^7.574)/(g1^2*g2^14) + (2*t^7.574)/g2^6 + 2*g1^2*g2^2*t^7.574 + t^7.623/(g1^2*g2^18) + t^7.623/g2^10 + (g1^2*t^7.623)/g2^2 + (2*t^7.673)/(g1^2*g2^22) + (2*t^7.673)/g2^14 + (2*g1^2*t^7.673)/g2^6 + (g2^9*t^8.09)/g1 + g1*g2^17*t^8.09 + t^8.139/(g1^3*g2^3) + (g2^5*t^8.139)/g1 + g1*g2^13*t^8.139 + g1^3*g2^21*t^8.139 - t^8.188/(g1^3*g2^7) - (3*g2*t^8.188)/g1 - 3*g1*g2^9*t^8.188 - g1^3*g2^17*t^8.188 + t^8.238/(g1^3*g2^11) + (3*t^8.238)/(g1*g2^3) + 3*g1*g2^5*t^8.238 + g1^3*g2^13*t^8.238 - t^8.287/(g1^3*g2^15) - (4*t^8.287)/(g1*g2^7) - 4*g1*g2*t^8.287 - g1^3*g2^9*t^8.287 + (2*t^8.336)/(g1^3*g2^19) + (4*t^8.336)/(g1*g2^11) + (4*g1*t^8.336)/g2^3 + 2*g1^3*g2^5*t^8.336 + t^8.386/(g1*g2^15) + (g1*t^8.386)/g2^7 + t^8.435/(g1*g2^19) + (g1*t^8.435)/g2^11 + t^8.484/(g1*g2^23) + (g1*t^8.484)/g2^15 + (g2^4*t^8.754)/g1^4 + (g2^12*t^8.754)/g1^2 + g2^20*t^8.754 + g1^2*g2^28*t^8.754 + g1^4*g2^36*t^8.754 + t^8.852/(g1^4*g2^4) + (g2^4*t^8.852)/g1^2 + g2^12*t^8.852 + g1^2*g2^20*t^8.852 + g1^4*g2^28*t^8.852 + t^8.901/g1^2 + g2^8*t^8.901 + g1^2*g2^16*t^8.901 + (2*t^8.951)/(g1^4*g2^12) + t^8.951/(g1^2*g2^4) - g2^4*t^8.951 + g1^2*g2^12*t^8.951 + 2*g1^4*g2^20*t^8.951 - (g2^2*t^4.475)/y - (g2^3*t^6.664)/(g1*y) - (g1*g2^11*t^6.664)/y + (g2^10*t^7.377)/y + t^7.475/(g1^2*g2^6*y) + (2*g2^2*t^7.475)/y + (g1^2*g2^10*t^7.475)/y + t^7.574/(g2^6*y) + (g2^5*t^8.139)/(g1*y) + (g1*g2^13*t^8.139)/y + (g2*t^8.188)/(g1*y) + (g1*g2^9*t^8.188)/y + (2*t^8.238)/(g1*g2^3*y) + (2*g1*g2^5*t^8.238)/y + (3*t^8.287)/(g1*g2^7*y) + (3*g1*g2*t^8.287)/y + t^8.336/(g1*g2^11*y) + (g1*t^8.336)/(g2^3*y) + t^8.386/(g1*g2^15*y) + (g1*t^8.386)/(g2^7*y) - (g2^4*t^8.852)/(g1^2*y) - (g2^12*t^8.852)/y - (g1^2*g2^20*t^8.852)/y + t^8.951/(g1^2*g2^4*y) + (3*g2^4*t^8.951)/y + (g1^2*g2^12*t^8.951)/y - g2^2*t^4.475*y - (g2^3*t^6.664*y)/g1 - g1*g2^11*t^6.664*y + g2^10*t^7.377*y + (t^7.475*y)/(g1^2*g2^6) + 2*g2^2*t^7.475*y + g1^2*g2^10*t^7.475*y + (t^7.574*y)/g2^6 + (g2^5*t^8.139*y)/g1 + g1*g2^13*t^8.139*y + (g2*t^8.188*y)/g1 + g1*g2^9*t^8.188*y + (2*t^8.238*y)/(g1*g2^3) + 2*g1*g2^5*t^8.238*y + (3*t^8.287*y)/(g1*g2^7) + 3*g1*g2*t^8.287*y + (t^8.336*y)/(g1*g2^11) + (g1*t^8.336*y)/g2^3 + (t^8.386*y)/(g1*g2^15) + (g1*t^8.386*y)/g2^7 - (g2^4*t^8.852*y)/g1^2 - g2^12*t^8.852*y - g1^2*g2^20*t^8.852*y + (t^8.951*y)/(g1^2*g2^4) + 3*g2^4*t^8.951*y + g1^2*g2^12*t^8.951*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
2017 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{5}M_{8}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.7202 | 0.897 | 0.803 | [M:[0.9657, 1.1723, 0.6898, 0.6898, 0.9657, 0.6898, 1.0343, 1.0343], q:[0.5172, 0.5172], qb:[0.7931, 0.5172], phi:[0.4139]] | 3*t^2.069 + 3*t^3.103 + t^3.517 + 6*t^4.139 + 6*t^4.345 + 9*t^5.172 + 3*t^5.586 - 9*t^6. - t^4.242/y - t^4.242*y | detail |