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
2848	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{6}$	0.6206	0.7586	0.8181	[X:[1.6169], M:[0.7075, 0.8251, 0.3831, 1.1494, 0.8506, 1.1749], q:[0.88, 0.4125], qb:[0.7369, 0.438], phi:[0.3831]]	[X:[[0, 1]], M:[[2, -10], [-2, 6], [0, -1], [0, -3], [0, 3], [2, -6]], q:[[-1, 7], [-1, 3]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$	${}\phi_{1}^{3}q_{2}\tilde{q}_{2}$	-1	t^2.122 + t^2.299 + t^2.552 + t^3.448 + t^3.525 + t^3.625 + t^3.701 + t^3.778 + t^3.954 + t^4.245 + t^4.421 + t^4.598 + t^4.674 + 2*t^4.851 + t^5.103 + t^5.571 + t^5.647 + t^5.747 + t^5.824 + t^5.9 - t^6. + 2*t^6.076 + t^6.253 + t^6.329 + t^6.367 + t^6.506 + t^6.544 + t^6.72 + t^6.797 + t^6.897 + 2*t^6.973 + t^7.049 + t^7.149 + t^7.226 + t^7.249 + t^7.302 - t^7.326 + t^7.402 + t^7.479 + t^7.555 + t^7.655 + t^7.693 + t^7.731 + t^7.77 + t^7.87 + t^7.908 + t^7.946 + t^8.022 - t^8.122 + 2*t^8.199 - t^8.299 + t^8.375 + t^8.452 - t^8.475 + t^8.49 - 2*t^8.552 + 2*t^8.628 + t^8.666 - t^8.728 + t^8.804 + t^8.843 + t^8.881 + t^8.919 - t^4.149/y - t^6.272/y - t^6.448/y + t^7.421/y + t^7.674/y + (2*t^7.851)/y + t^8.027/y - t^8.394/y + t^8.647/y + t^8.747/y + (2*t^8.824)/y + t^8.9/y + t^8.924/y - t^4.149*y - t^6.272*y - t^6.448*y + t^7.421*y + t^7.674*y + 2*t^7.851*y + t^8.027*y - t^8.394*y + t^8.647*y + t^8.747*y + 2*t^8.824*y + t^8.9*y + t^8.924*y	(g1^2*t^2.122)/g2^10 + t^2.299/g2^2 + g2^3*t^2.552 + t^3.448/g2^3 + (g1^2*t^3.525)/g2^6 + (g2^5*t^3.625)/g1^2 + g2^2*t^3.701 + (g1^2*t^3.778)/g2 + g2^7*t^3.954 + (g1^4*t^4.245)/g2^20 + (g1^2*t^4.421)/g2^12 + t^4.598/g2^4 + (g1^2*t^4.674)/g2^7 + 2*g2*t^4.851 + g2^6*t^5.103 + (g1^2*t^5.571)/g2^13 + (g1^4*t^5.647)/g2^16 + t^5.747/g2^5 + (g1^2*t^5.824)/g2^8 + (g1^4*t^5.9)/g2^11 - t^6. + (2*g1^2*t^6.076)/g2^3 + g2^5*t^6.253 + g1^2*g2^2*t^6.329 + (g1^6*t^6.367)/g2^30 + g2^10*t^6.506 + (g1^4*t^6.544)/g2^22 + (g1^2*t^6.72)/g2^14 + (g1^4*t^6.797)/g2^17 + t^6.897/g2^6 + (2*g1^2*t^6.973)/g2^9 + (g1^4*t^7.049)/g2^12 + t^7.149/g2 + (g1^2*t^7.226)/g2^4 + (g2^10*t^7.249)/g1^4 + (g1^4*t^7.302)/g2^7 - (g2^7*t^7.326)/g1^2 + g2^4*t^7.402 + g1^2*g2*t^7.479 + (g1^4*t^7.555)/g2^2 + g2^9*t^7.655 + (g1^4*t^7.693)/g2^23 + g1^2*g2^6*t^7.731 + (g1^6*t^7.77)/g2^26 + (g1^2*t^7.87)/g2^15 + g2^14*t^7.908 + (g1^4*t^7.946)/g2^18 + (g1^6*t^8.022)/g2^21 - (g1^2*t^8.122)/g2^10 + (2*g1^4*t^8.199)/g2^13 - t^8.299/g2^2 + (g1^2*t^8.375)/g2^5 + (g1^4*t^8.452)/g2^8 - (g2^6*t^8.475)/g1^2 + (g1^8*t^8.49)/g2^40 - 2*g2^3*t^8.552 + 2*g1^2*t^8.628 + (g1^6*t^8.666)/g2^32 - (g2^11*t^8.728)/g1^2 + g2^8*t^8.804 + (g1^4*t^8.843)/g2^24 + g1^2*g2^5*t^8.881 + (g1^6*t^8.919)/g2^27 - t^4.149/(g2*y) - (g1^2*t^6.272)/(g2^11*y) - t^6.448/(g2^3*y) + (g1^2*t^7.421)/(g2^12*y) + (g1^2*t^7.674)/(g2^7*y) + (2*g2*t^7.851)/y + (g2^9*t^8.027)/(g1^2*y) - (g1^4*t^8.394)/(g2^21*y) + (g1^4*t^8.647)/(g2^16*y) + t^8.747/(g2^5*y) + (2*g1^2*t^8.824)/(g2^8*y) + (g1^4*t^8.9)/(g2^11*y) + (g2^3*t^8.924)/(g1^2*y) - (t^4.149*y)/g2 - (g1^2*t^6.272*y)/g2^11 - (t^6.448*y)/g2^3 + (g1^2*t^7.421*y)/g2^12 + (g1^2*t^7.674*y)/g2^7 + 2*g2*t^7.851*y + (g2^9*t^8.027*y)/g1^2 - (g1^4*t^8.394*y)/g2^21 + (g1^4*t^8.647*y)/g2^16 + (t^8.747*y)/g2^5 + (2*g1^2*t^8.824*y)/g2^8 + (g1^4*t^8.9*y)/g2^11 + (g2^3*t^8.924*y)/g1^2

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
3408	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{6}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$	0.4422	0.5047	0.8762	[X:[1.7143, 1.7143, 1.4286], M:[0.2857, 0.8571, 0.2857, 0.8571, 1.1429, 1.1429], q:[1.2857, 0.4286], qb:[0.4286, 0.7143], phi:[0.2857]]	t^2.571 + 3*t^3.429 + t^4.286 + t^5.143 - t^6. - t^3.857/y - t^3.857*y	detail	{a: 2427/5488, c: 1385/2744, X1: 12/7, X2: 12/7, X3: 10/7, M1: 2/7, M2: 6/7, M3: 2/7, M4: 6/7, M5: 8/7, M6: 8/7, q1: 9/7, q2: 3/7, qb1: 3/7, qb2: 5/7, phi1: 2/7}

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
1825	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$	0.6366	0.7855	0.8105	[X:[1.6178], M:[0.7368, 0.7919, 0.3822, 1.1465, 0.8535], q:[0.8673, 0.396], qb:[0.7506, 0.4575], phi:[0.3822]]	t^2.21 + t^2.293 + t^2.376 + t^2.56 + t^3.44 + t^3.522 + t^3.707 + t^3.892 + t^3.974 + t^4.421 + t^4.503 + 2*t^4.586 + t^4.669 + t^4.751 + t^4.771 + 2*t^4.853 + t^4.936 + t^5.121 + t^5.65 + t^5.733 + t^5.815 + t^5.898 - t^6. - t^4.147/y - t^4.147*y	detail