Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
2676	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$	0.671	0.8353	0.8033	[M:[1.0384, 0.795, 1.0018, 0.8317, 1.1683, 1.0833, 0.7466, 0.9982], q:[0.5641, 0.3975], qb:[0.4341, 0.7708], phi:[0.4584]]	[M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [0, 8], [2, 6], [1, 15]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{8}^{2}$	${}$	-2	t^2.24 + t^2.385 + t^2.495 + t^2.995 + t^3.115 + t^3.25 + t^3.505 + t^3.87 + t^3.98 + t^4.005 + t^4.26 + t^4.37 + t^4.48 + t^4.625 + t^4.735 + t^4.76 + t^4.77 + t^4.88 + t^4.99 + t^5.234 + t^5.355 + t^5.38 + 2*t^5.49 + t^5.635 + 2*t^5.745 + t^5.989 - 2*t^6. + t^6.11 + t^6.22 + t^6.23 + 2*t^6.245 + 2*t^6.365 + t^6.475 + 2*t^6.5 + t^6.61 + t^6.645 + t^6.719 + t^6.755 + 2*t^6.865 - t^6.875 + 2*t^6.975 + 2*t^6.999 + t^7.095 + t^7.12 + t^7.145 + t^7.155 + t^7.23 + 2*t^7.255 + t^7.364 + t^7.474 + t^7.485 + t^7.51 + t^7.595 + t^7.62 + 2*t^7.729 + t^7.754 + t^7.85 + 2*t^7.875 + t^7.96 + 3*t^7.985 - t^7.995 + t^8.01 + t^8.02 + t^8.229 - t^8.24 + t^8.265 + 2*t^8.35 + t^8.375 - 3*t^8.385 + t^8.459 + t^8.47 + 3*t^8.484 - 3*t^8.495 + t^8.605 + t^8.615 + t^8.63 + t^8.715 + 4*t^8.74 + t^8.764 + t^8.849 + t^8.86 + t^8.959 + t^8.97 + t^8.984 - t^8.995 - t^4.375/y - t^6.615/y - t^6.76/y + t^7.26/y - t^7.49/y + t^7.625/y + t^7.735/y + t^7.88/y + t^7.99/y + t^8.135/y + t^8.234/y + t^8.355/y + t^8.38/y + (2*t^8.49)/y + t^8.5/y + t^8.61/y + t^8.635/y + (2*t^8.745)/y - t^8.855/y + t^8.89/y - t^4.375*y - t^6.615*y - t^6.76*y + t^7.26*y - t^7.49*y + t^7.625*y + t^7.735*y + t^7.88*y + t^7.99*y + t^8.135*y + t^8.234*y + t^8.355*y + t^8.38*y + 2*t^8.49*y + t^8.5*y + t^8.61*y + t^8.635*y + 2*t^8.745*y - t^8.855*y + t^8.89*y	g1^2*g2^6*t^2.24 + t^2.385/(g1^2*g2^2) + (g1*t^2.495)/g2 + g1*g2^15*t^2.995 + (g1^2*t^3.115)/g2^14 + g2^8*t^3.25 + (g2*t^3.505)/g1 + (g1*t^3.87)/g2^5 + (g1^4*t^3.98)/g2^4 + (g2^17*t^4.005)/g1 + (g2^10*t^4.26)/g1^2 + g1*g2^11*t^4.37 + g1^4*g2^12*t^4.48 + g2^4*t^4.625 + g1^3*g2^5*t^4.735 + (g2^26*t^4.76)/g1^2 + t^4.77/(g1^4*g2^4) + t^4.88/(g1*g2^3) + (g1^2*t^4.99)/g2^2 + g1^3*g2^21*t^5.234 + (g1^4*t^5.355)/g2^8 + (g2^13*t^5.38)/g1 + 2*g1^2*g2^14*t^5.49 + (g2^6*t^5.635)/g1^2 + 2*g1*g2^7*t^5.745 + g1^2*g2^30*t^5.989 - 2*t^6. + g1^3*g2*t^6.11 + g1^6*g2^2*t^6.22 + (g1^4*t^6.23)/g2^28 + 2*g1*g2^23*t^6.245 + (2*g1^2*t^6.365)/g2^6 + (g1^5*t^6.475)/g2^5 + 2*g2^16*t^6.5 + g1^3*g2^17*t^6.61 + (g2^8*t^6.645)/g1^4 + g1^6*g2^18*t^6.719 + (g2^9*t^6.755)/g1 + 2*g1^2*g2^10*t^6.865 - t^6.875/g2^20 + 2*g1^5*g2^11*t^6.975 + 2*g2^32*t^6.999 + (g1^6*t^7.095)/g2^18 + g1*g2^3*t^7.12 + (g2^24*t^7.145)/g1^4 + t^7.155/(g1^6*g2^6) + g1^4*g2^4*t^7.23 + (2*g2^25*t^7.255)/g1 + g1^2*g2^26*t^7.364 + g1^5*g2^27*t^7.474 + (g1^3*t^7.485)/g2^3 + (g2^18*t^7.51)/g1^2 + (g1^6*t^7.595)/g2^2 + g1*g2^19*t^7.62 + 2*g1^4*g2^20*t^7.729 + (g2^41*t^7.754)/g1 + (g1^5*t^7.85)/g2^9 + 2*g2^12*t^7.875 + (g1^8*t^7.96)/g2^8 + 3*g1^3*g2^13*t^7.985 - (g1*t^7.995)/g2^17 + (g2^34*t^8.01)/g1^2 + (g2^4*t^8.02)/g1^4 + g1^4*g2^36*t^8.229 - g1^2*g2^6*t^8.24 + (g2^27*t^8.265)/g1^3 + 2*g1^5*g2^7*t^8.35 + g2^28*t^8.375 - (3*t^8.385)/(g1^2*g2^2) + g1^8*g2^8*t^8.459 + (g1^6*t^8.47)/g2^22 + 3*g1^3*g2^29*t^8.484 - (3*g1*t^8.495)/g2 + g1^4*t^8.605 + (g1^2*t^8.615)/g2^30 + (g2^21*t^8.63)/g1 + g1^7*g2*t^8.715 + 4*g1^2*g2^22*t^8.74 + (g2^43*t^8.764)/g1^3 + g1^5*g2^23*t^8.849 + (g1^3*t^8.86)/g2^7 + g1^8*g2^24*t^8.959 + (g1^6*t^8.97)/g2^6 + g1^3*g2^45*t^8.984 - g1*g2^15*t^8.995 - t^4.375/(g2^4*y) - (g1^2*g2^2*t^6.615)/y - t^6.76/(g1^2*g2^6*y) + (g2^10*t^7.26)/(g1^2*y) - (g1^2*t^7.49)/(g2^18*y) + (g2^4*t^7.625)/y + (g1^3*g2^5*t^7.735)/y + t^7.88/(g1*g2^3*y) + (g1^2*t^7.99)/(g2^2*y) + t^8.135/(g1^2*g2^10*y) + (g1^3*g2^21*t^8.234)/y + (g1^4*t^8.355)/(g2^8*y) + (g2^13*t^8.38)/(g1*y) + (2*g1^2*g2^14*t^8.49)/y + t^8.5/(g2^16*y) + (g1^3*t^8.61)/(g2^15*y) + (g2^6*t^8.635)/(g1^2*y) + (2*g1*g2^7*t^8.745)/y - (g1^4*g2^8*t^8.855)/y + t^8.89/(g1^3*g2*y) - (t^4.375*y)/g2^4 - g1^2*g2^2*t^6.615*y - (t^6.76*y)/(g1^2*g2^6) + (g2^10*t^7.26*y)/g1^2 - (g1^2*t^7.49*y)/g2^18 + g2^4*t^7.625*y + g1^3*g2^5*t^7.735*y + (t^7.88*y)/(g1*g2^3) + (g1^2*t^7.99*y)/g2^2 + (t^8.135*y)/(g1^2*g2^10) + g1^3*g2^21*t^8.234*y + (g1^4*t^8.355*y)/g2^8 + (g2^13*t^8.38*y)/g1 + 2*g1^2*g2^14*t^8.49*y + (t^8.5*y)/g2^16 + (g1^3*t^8.61*y)/g2^15 + (g2^6*t^8.635*y)/g1^2 + 2*g1*g2^7*t^8.745*y - g1^4*g2^8*t^8.855*y + (t^8.89*y)/(g1^3*g2)

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
4851	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{7}$	0.6525	0.8129	0.8027	[M:[1.1666, 0.7, 0.9832, 0.8833, 1.1167, 1.0667, 0.8334, 1.0168], q:[0.4834, 0.35], qb:[0.5334, 0.7667], phi:[0.4666]]	t^2.1 + t^2.5 + t^2.65 + t^3.05 + t^3.2 + t^3.35 + t^3.5 + t^3.75 + t^3.9 + t^4.05 + t^4.2 + t^4.3 + t^4.45 + 2*t^4.6 + t^4.75 + t^5. + 2*t^5.15 + 2*t^5.3 + t^5.551 + 2*t^5.7 + 2*t^5.85 - t^4.4/y - t^4.4*y	detail
4852	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$	0.6918	0.8766	0.7892	[M:[1.0397, 0.7938, 1.0012, 0.8323, 1.1677, 1.0833, 0.7479, 0.9988, 0.6708], q:[0.5634, 0.3969], qb:[0.4354, 0.7708], phi:[0.4584]]	t^2.012 + t^2.244 + t^2.381 + t^2.497 + t^2.996 + t^3.119 + t^3.25 + t^3.503 + t^3.872 + t^4.003 + t^4.025 + 2*t^4.256 + t^4.372 + t^4.394 + t^4.487 + t^4.509 + t^4.625 + t^4.741 + t^4.755 + t^4.763 + t^4.878 + t^4.994 + t^5.009 + t^5.131 + t^5.24 + t^5.262 + t^5.363 + t^5.378 + 2*t^5.493 + t^5.515 + t^5.631 + 2*t^5.747 + t^5.884 + t^5.993 - 2*t^6. - t^4.375/y - t^4.375*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

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

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
1544	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6741	0.8369	0.8055	[M:[1.0013, 0.7671, 0.9309, 0.8375, 1.1625, 1.1158, 0.7907], q:[0.6152, 0.3836], qb:[0.4539, 0.7789], phi:[0.4421]]	t^2.301 + t^2.372 + t^2.512 + t^2.793 + t^3.004 + t^3.347 + t^3.488 + t^3.839 + t^4.05 + t^4.182 + t^4.323 + t^4.534 + t^4.603 + t^4.674 + t^4.744 + t^4.814 + t^4.885 + t^5.017 + t^5.025 + t^5.094 + t^5.165 + t^5.305 + t^5.376 + t^5.586 + t^5.649 + t^5.72 + t^5.797 + 2*t^5.86 - 2*t^6. - t^4.326/y - t^4.326*y	detail