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
57987	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	1.4462	1.6337	0.8852	[X:[1.3641], M:[0.9077, 0.9077], q:[0.4701, 0.4701], qb:[0.5299, 0.6222], phi:[0.318]]	[X:[[0, 6]], M:[[-1, -13], [1, -23]], q:[[-1, 10], [1, 0]], qb:[[0, -5], [0, 13]], phi:[[0, -3]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$	${}$	-2	2*t^2.72 + t^2.86 + 2*t^3. + 2*t^3.95 + t^4.09 + 2*t^4.23 + 2*t^4.91 + 4*t^5.18 + 3*t^5.45 + 2*t^5.58 + 4*t^5.72 + 2*t^5.86 - 2*t^6. + 2*t^6.14 + 3*t^6.68 + 4*t^6.82 + 4*t^6.95 + 8*t^7.09 + 3*t^7.23 + 4*t^7.63 + 2*t^7.77 + 8*t^7.91 + 2*t^8.05 + 4*t^8.17 + 8*t^8.18 + 3*t^8.31 + 6*t^8.45 + 4*t^8.46 + 4*t^8.58 - 4*t^8.72 + 3*t^8.86 + t^8.86/y^2 - t^3.95/y - t^4.91/y - (2*t^6.68)/y - t^6.82/y - (2*t^6.95)/y - (2*t^7.63)/y - t^7.77/y - (2*t^7.91)/y + t^8.45/y + (2*t^8.58)/y + (4*t^8.72)/y - t^3.95*y - t^4.91*y - 2*t^6.68*y - t^6.82*y - 2*t^6.95*y - 2*t^7.63*y - t^7.77*y - 2*t^7.91*y + t^8.45*y + 2*t^8.58*y + 4*t^8.72*y + t^8.86*y^2	(g1*t^2.72)/g2^23 + t^2.72/(g1*g2^13) + t^2.86/g2^9 + (g1*t^3.)/g2^5 + (g2^5*t^3.)/g1 + (g1*t^3.95)/g2^8 + (g2^2*t^3.95)/g1 + g2^6*t^4.09 + g1*g2^10*t^4.23 + (g2^20*t^4.23)/g1 + (g1*t^4.91)/g2^11 + t^4.91/(g1*g2) + 2*g1*g2^7*t^5.18 + (2*g2^17*t^5.18)/g1 + (g1^2*t^5.45)/g2^46 + t^5.45/g2^36 + t^5.45/(g1^2*g2^26) + (g1*t^5.58)/g2^32 + t^5.58/(g1*g2^22) + (g1^2*t^5.72)/g2^28 + (2*t^5.72)/g2^18 + t^5.72/(g1^2*g2^8) + (g1*t^5.86)/g2^14 + t^5.86/(g1*g2^4) - 2*t^6. + g1*g2^4*t^6.14 + (g2^14*t^6.14)/g1 + (g1^2*t^6.68)/g2^31 + t^6.68/g2^21 + t^6.68/(g1^2*g2^11) + (2*g1*t^6.82)/g2^17 + (2*t^6.82)/(g1*g2^7) + (g1^2*t^6.95)/g2^13 + (2*t^6.95)/g2^3 + (g2^7*t^6.95)/g1^2 + (g1^3*t^7.09)/g2^9 + 3*g1*g2*t^7.09 + (3*g2^11*t^7.09)/g1 + (g2^21*t^7.09)/g1^3 + g1^2*g2^5*t^7.23 + g2^15*t^7.23 + (g2^25*t^7.23)/g1^2 + (g1^2*t^7.63)/g2^34 + (2*t^7.63)/g2^24 + t^7.63/(g1^2*g2^14) + (g1*t^7.77)/g2^20 + t^7.77/(g1*g2^10) + (2*g1^2*t^7.91)/g2^16 + (4*t^7.91)/g2^6 + (2*g2^4*t^7.91)/g1^2 + (g1*t^8.05)/g2^2 + (g2^8*t^8.05)/g1 + (g1^3*t^8.17)/g2^69 + (g1*t^8.17)/g2^59 + t^8.17/(g1*g2^49) + t^8.17/(g1^3*g2^39) + 2*g1^2*g2^2*t^8.18 + 4*g2^12*t^8.18 + (2*g2^22*t^8.18)/g1^2 + (g1^2*t^8.31)/g2^55 + t^8.31/g2^45 + t^8.31/(g1^2*g2^35) + (g1^3*t^8.45)/g2^51 + (2*g1*t^8.45)/g2^41 + (2*t^8.45)/(g1*g2^31) + t^8.45/(g1^3*g2^21) + g1^2*g2^20*t^8.46 + 2*g2^30*t^8.46 + (g2^40*t^8.46)/g1^2 + (g1^2*t^8.58)/g2^37 + (2*t^8.58)/g2^27 + t^8.58/(g1^2*g2^17) - (2*g1*t^8.72)/g2^23 - (2*t^8.72)/(g1*g2^13) + (g1^2*t^8.86)/g2^19 + t^8.86/g2^9 + (g2*t^8.86)/g1^2 + t^8.86/(g2^9*y^2) - t^3.95/(g2^3*y) - t^4.91/(g2^6*y) - (g1*t^6.68)/(g2^26*y) - t^6.68/(g1*g2^16*y) - t^6.82/(g2^12*y) - (g1*t^6.95)/(g2^8*y) - (g2^2*t^6.95)/(g1*y) - (g1*t^7.63)/(g2^29*y) - t^7.63/(g1*g2^19*y) - t^7.77/(g2^15*y) - (g1*t^7.91)/(g2^11*y) - t^7.91/(g1*g2*y) + t^8.45/(g2^36*y) + (g1*t^8.58)/(g2^32*y) + t^8.58/(g1*g2^22*y) + (g1^2*t^8.72)/(g2^28*y) + (2*t^8.72)/(g2^18*y) + t^8.72/(g1^2*g2^8*y) - (t^3.95*y)/g2^3 - (t^4.91*y)/g2^6 - (g1*t^6.68*y)/g2^26 - (t^6.68*y)/(g1*g2^16) - (t^6.82*y)/g2^12 - (g1*t^6.95*y)/g2^8 - (g2^2*t^6.95*y)/g1 - (g1*t^7.63*y)/g2^29 - (t^7.63*y)/(g1*g2^19) - (t^7.77*y)/g2^15 - (g1*t^7.91*y)/g2^11 - (t^7.91*y)/(g1*g2) + (t^8.45*y)/g2^36 + (g1*t^8.58*y)/g2^32 + (t^8.58*y)/(g1*g2^22) + (g1^2*t^8.72*y)/g2^28 + (2*t^8.72*y)/g2^18 + (t^8.72*y)/(g1^2*g2^8) + (t^8.86*y^2)/g2^9

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
61191	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$	1.467	1.6745	0.8761	[X:[1.3639], M:[0.907, 0.9097, 0.6806], q:[0.4686, 0.4713], qb:[0.5301, 0.6218], phi:[0.3181]]	t^2.04 + t^2.72 + t^2.73 + t^2.86 + 2*t^3. + t^3.95 + t^4.08 + t^4.09 + 2*t^4.23 + t^4.76 + t^4.77 + 2*t^4.9 + t^4.91 + t^5.04 + t^5.05 + 2*t^5.18 + 2*t^5.19 + t^5.44 + t^5.45 + t^5.46 + t^5.58 + t^5.59 + 3*t^5.72 + t^5.73 + t^5.86 + t^5.87 + t^5.99 - 2*t^6. - t^3.95/y - t^4.91/y - t^6./y - t^3.95*y - t^4.91*y - t^6.*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