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
57988	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$	1.4534	1.6409	0.8857	[X:[1.3668], M:[0.8794, 0.9196], q:[0.5343, 0.5745], qb:[0.4456, 0.5461], phi:[0.3166]]	[X:[[0, 2]], M:[[-3, 11], [3, -23]], q:[[-4, 23], [2, -11]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$	${}$	-2	t^2.64 + t^2.76 + t^2.85 + t^2.94 + t^3.06 + t^3.89 + t^4.01 + t^4.1 + t^4.19 + t^4.31 + t^4.84 + t^4.96 + t^5.14 + 2*t^5.26 + t^5.28 + t^5.4 + t^5.49 + t^5.52 + t^5.56 + t^5.58 + t^5.61 + 2*t^5.7 + t^5.79 + t^5.82 + t^5.88 + t^5.91 - 2*t^6. + t^6.21 - t^6.3 + t^6.51 + t^6.53 + t^6.65 + 2*t^6.74 + t^6.77 + 2*t^6.83 + 3*t^6.86 + 3*t^6.95 + 2*t^7.04 + t^7.07 + t^7.13 + 3*t^7.16 + t^7.46 + t^7.48 + t^7.6 + t^7.66 + t^7.72 + t^7.76 + 3*t^7.78 + t^7.81 + 4*t^7.9 + t^7.91 + 3*t^8.02 + t^8.04 + 2*t^8.08 + 2*t^8.11 + t^8.13 + t^8.16 + 3*t^8.2 + t^8.22 + t^8.25 + t^8.28 + 2*t^8.32 + 2*t^8.34 + t^8.37 + t^8.38 + t^8.41 + t^8.43 + 2*t^8.46 + t^8.5 + 2*t^8.55 + t^8.58 + t^8.62 - 2*t^8.64 + t^8.67 + 2*t^8.73 - 2*t^8.76 + t^8.85 - 4*t^8.94 + t^8.97 + t^8.85/y^2 - t^3.95/y - t^4.9/y - t^6.59/y - t^6.71/y - t^6.8/y - t^6.89/y - t^7.01/y - t^7.54/y - t^7.66/y - t^7.75/y - t^7.84/y - t^7.96/y + t^8.4/y + t^8.49/y + t^8.58/y + t^8.61/y + (2*t^8.7)/y + t^8.82/y - t^3.95*y - t^4.9*y - t^6.59*y - t^6.71*y - t^6.8*y - t^6.89*y - t^7.01*y - t^7.54*y - t^7.66*y - t^7.75*y - t^7.84*y - t^7.96*y + t^8.4*y + t^8.49*y + t^8.58*y + t^8.61*y + 2*t^8.7*y + t^8.82*y + t^8.85*y^2	(g2^11*t^2.64)/g1^3 + (g1^3*t^2.76)/g2^23 + t^2.85/g2^3 + (g2^17*t^2.94)/g1^3 + (g1^3*t^3.06)/g2^17 + (g2^16*t^3.89)/g1^3 + (g1^3*t^4.01)/g2^18 + g2^2*t^4.1 + (g2^22*t^4.19)/g1^3 + (g1^3*t^4.31)/g2^12 + (g2^15*t^4.84)/g1^3 + (g1^3*t^4.96)/g2^19 + (g2^21*t^5.14)/g1^3 + (2*g1^3*t^5.26)/g2^13 + (g2^22*t^5.28)/g1^6 + t^5.4/g2^12 + (g2^8*t^5.49)/g1^3 + (g1^6*t^5.52)/g2^46 + (g1^3*t^5.56)/g2^7 + (g2^28*t^5.58)/g1^6 + (g1^3*t^5.61)/g2^26 + (2*t^5.7)/g2^6 + (g2^14*t^5.79)/g1^3 + (g1^6*t^5.82)/g2^40 + (g2^34*t^5.88)/g1^6 + (g1^3*t^5.91)/g2^20 - 2*t^6. + (g1^3*t^6.21)/g2^14 - g2^6*t^6.3 + (g1^3*t^6.51)/g2^8 + (g2^27*t^6.53)/g1^6 + t^6.65/g2^7 + (2*g2^13*t^6.74)/g1^3 + (g1^6*t^6.77)/g2^41 + (2*g2^33*t^6.83)/g1^6 + (3*g1^3*t^6.86)/g2^21 + (3*t^6.95)/g2 + (2*g2^19*t^7.04)/g1^3 + (g1^6*t^7.07)/g2^35 + (g2^39*t^7.13)/g1^6 + (3*g1^3*t^7.16)/g2^15 + (g1^3*t^7.46)/g2^9 + (g2^26*t^7.48)/g1^6 + t^7.6/g2^8 + (g2^66*t^7.66)/g1^12 + (g1^6*t^7.72)/g2^42 + (g1^3*t^7.76)/g2^3 + (3*g2^32*t^7.78)/g1^6 + (g1^3*t^7.81)/g2^22 + (4*t^7.9)/g2^2 + (g2^33*t^7.91)/g1^9 + (3*g1^6*t^8.02)/g2^36 + t^8.04/(g1^3*g2) + (2*g2^38*t^8.08)/g1^6 + (2*g1^3*t^8.11)/g2^16 + (g2^19*t^8.13)/g1^6 + (g1^3*t^8.16)/g2^35 + 3*g2^4*t^8.2 + (g2^39*t^8.22)/g1^9 + t^8.25/g2^15 + (g1^9*t^8.28)/g2^69 + (2*g1^6*t^8.32)/g2^30 + (2*g2^5*t^8.34)/g1^3 + (g1^6*t^8.37)/g2^49 + (g2^44*t^8.38)/g1^6 + (g1^3*t^8.41)/g2^10 + (g2^25*t^8.43)/g1^6 + (2*g1^3*t^8.46)/g2^29 + g2^10*t^8.5 + (2*t^8.55)/g2^9 + (g1^9*t^8.58)/g2^63 + (g1^6*t^8.62)/g2^24 - (2*g2^11*t^8.64)/g1^3 + (g1^6*t^8.67)/g2^43 + (2*g2^31*t^8.73)/g1^6 - (2*g1^3*t^8.76)/g2^23 + t^8.85/g2^3 - (4*g2^17*t^8.94)/g1^3 + (g1^6*t^8.97)/g2^37 + t^8.85/(g2^3*y^2) - t^3.95/(g2*y) - t^4.9/(g2^2*y) - (g2^10*t^6.59)/(g1^3*y) - (g1^3*t^6.71)/(g2^24*y) - t^6.8/(g2^4*y) - (g2^16*t^6.89)/(g1^3*y) - (g1^3*t^7.01)/(g2^18*y) - (g2^9*t^7.54)/(g1^3*y) - (g1^3*t^7.66)/(g2^25*y) - t^7.75/(g2^5*y) - (g2^15*t^7.84)/(g1^3*y) - (g1^3*t^7.96)/(g2^19*y) + t^8.4/(g2^12*y) + (g2^8*t^8.49)/(g1^3*y) + (g2^28*t^8.58)/(g1^6*y) + (g1^3*t^8.61)/(g2^26*y) + (2*t^8.7)/(g2^6*y) + (g1^6*t^8.82)/(g2^40*y) - (t^3.95*y)/g2 - (t^4.9*y)/g2^2 - (g2^10*t^6.59*y)/g1^3 - (g1^3*t^6.71*y)/g2^24 - (t^6.8*y)/g2^4 - (g2^16*t^6.89*y)/g1^3 - (g1^3*t^7.01*y)/g2^18 - (g2^9*t^7.54*y)/g1^3 - (g1^3*t^7.66*y)/g2^25 - (t^7.75*y)/g2^5 - (g2^15*t^7.84*y)/g1^3 - (g1^3*t^7.96*y)/g2^19 + (t^8.4*y)/g2^12 + (g2^8*t^8.49*y)/g1^3 + (g2^28*t^8.58*y)/g1^6 + (g1^3*t^8.61*y)/g2^26 + (2*t^8.7*y)/g2^6 + (g1^6*t^8.82*y)/g2^40 + (t^8.85*y^2)/g2^3

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
61235	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{1}$	1.4739	1.6801	0.8773	[X:[1.3667], M:[0.8828, 0.9171, 0.7005], q:[0.5382, 0.5726], qb:[0.4446, 0.5447], phi:[0.3167]]	t^2.1 + t^2.65 + t^2.75 + t^2.85 + t^2.95 + t^3.05 + t^4. + t^4.1 + 2*t^4.2 + t^4.3 + t^4.75 + 2*t^4.85 + 2*t^4.95 + t^5.05 + 2*t^5.15 + 2*t^5.25 + t^5.3 + t^5.4 + 2*t^5.5 + t^5.55 + 2*t^5.6 + 2*t^5.7 + 2*t^5.8 + 2*t^5.9 - 2*t^6. - t^3.95/y - t^4.9/y - t^3.95*y - t^4.9*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
57281	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$	1.4595	1.647	0.8862	[X:[1.359], M:[0.9229, 0.9229], q:[0.5185, 0.5185], qb:[0.4815, 0.5586], phi:[0.3205]]	2*t^2.769 + t^2.884 + 2*t^3. + 2*t^3.961 + t^4.077 + 2*t^4.193 + 2*t^4.923 + 2*t^5.154 + t^5.526 + 3*t^5.538 + 2*t^5.628 + 2*t^5.653 + t^5.757 + 4*t^5.769 + 2*t^5.884 - 3*t^6. - t^3.961/y - t^4.923/y - t^3.961*y - t^4.923*y	detail