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
46615	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$	0.7171	0.8807	0.8142	[M:[0.9214, 0.9214, 0.9214, 0.9214, 1.0786, 0.9214], q:[0.4607, 0.6179], qb:[0.6179, 0.4607], phi:[0.4607]]	[M:[[-4, 2, 1], [2, -4, 1], [0, -6, -1], [-6, 0, -1], [2, 2, 0], [-2, -2, 0]], q:[[-2, -2, -1], [6, 0, 0]], qb:[[0, 6, 0], [0, 0, 1]], phi:[[-1, -1, 0]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$	${}$	-8	6*t^2.764 + t^3.707 + 3*t^4.146 + 4*t^4.618 + 3*t^5.09 + 17*t^5.528 - 8*t^6. + t^6.472 + 14*t^6.91 + 10*t^7.382 + t^7.415 + 6*t^7.854 + 40*t^8.293 - 3*t^8.325 - 33*t^8.764 + 3*t^8.797 - t^4.382/y - (5*t^7.146)/y + (5*t^7.618)/y + (15*t^8.528)/y - t^4.382*y - 5*t^7.146*y + 5*t^7.618*y + 15*t^8.528*y	(2*t^2.764)/(g1^2*g2^2) + t^2.764/(g1^6*g3) + t^2.764/(g2^6*g3) + (g1^2*g3*t^2.764)/g2^4 + (g2^2*g3*t^2.764)/g1^4 + g1^6*g2^6*t^3.707 + t^4.146/(g1^3*g2^3) + t^4.146/(g1^5*g2^5*g3^2) + (g3^2*t^4.146)/(g1*g2) + (g1^3*t^4.618)/(g2^3*g3) + (g2^3*t^4.618)/(g1^3*g3) + (g1^5*g3*t^4.618)/g2 + (g2^5*g3*t^4.618)/g1 + (g1^11*t^5.09)/g2 + g1^5*g2^5*t^5.09 + (g2^11*t^5.09)/g1 + (g1^2*t^5.528)/g2^10 + (5*t^5.528)/(g1^4*g2^4) + (g2^2*t^5.528)/g1^10 + t^5.528/(g1^12*g3^2) + t^5.528/(g2^12*g3^2) + t^5.528/(g1^6*g2^6*g3^2) + t^5.528/(g1^2*g2^8*g3) + t^5.528/(g1^8*g2^2*g3) + (g3*t^5.528)/g1^6 + (g3*t^5.528)/g2^6 + (g1^4*g3^2*t^5.528)/g2^8 + (g3^2*t^5.528)/(g1^2*g2^2) + (g2^4*g3^2*t^5.528)/g1^8 - 4*t^6. - (g1^6*t^6.)/g2^6 - (g2^6*t^6.)/g1^6 - t^6./(g1^2*g2^2*g3^2) - g1^2*g2^2*g3^2*t^6. + g1^4*g2^4*t^6.472 + (2*t^6.91)/(g1^5*g2^5) + t^6.91/(g1^5*g2^11*g3^3) + t^6.91/(g1^11*g2^5*g3^3) + (2*t^6.91)/(g1^7*g2^7*g3^2) + t^6.91/(g1^3*g2^9*g3) + t^6.91/(g1^9*g2^3*g3) + (g3*t^6.91)/(g1*g2^7) + (g3*t^6.91)/(g1^7*g2) + (2*g3^2*t^6.91)/(g1^3*g2^3) + (g1*g3^3*t^6.91)/g2^5 + (g2*g3^3*t^6.91)/g1^5 + (g1^5*t^7.382)/g2^7 + (g2^5*t^7.382)/g1^7 + (g1^3*t^7.382)/(g2^9*g3^2) + (g2^3*t^7.382)/(g1^9*g3^2) + (g1*t^7.382)/(g2^5*g3) + (g2*t^7.382)/(g1^5*g3) + (g1^3*g3*t^7.382)/g2^3 + (g2^3*g3*t^7.382)/g1^3 + (g1^7*g3^2*t^7.382)/g2^5 + (g2^7*g3^2*t^7.382)/g1^5 + g1^12*g2^12*t^7.415 + (g1^9*t^7.854)/g2^3 + (g2^9*t^7.854)/g1^3 + (g1^11*t^7.854)/(g2^7*g3) + (g2^11*t^7.854)/(g1^7*g3) + (g1^13*g3*t^7.854)/g2^5 + (g2^13*g3*t^7.854)/g1^5 + t^8.293/g1^12 + t^8.293/g2^12 + (6*t^8.293)/(g1^6*g2^6) + t^8.293/(g1^10*g2^10*g3^4) + t^8.293/(g1^18*g3^3) + t^8.293/(g2^18*g3^3) + t^8.293/(g1^6*g2^12*g3^3) + t^8.293/(g1^12*g2^6*g3^3) + t^8.293/(g1^2*g2^14*g3^2) + t^8.293/(g1^8*g2^8*g3^2) + t^8.293/(g1^14*g2^2*g3^2) + (g1^2*t^8.293)/(g2^16*g3) + (3*t^8.293)/(g1^4*g2^10*g3) + (3*t^8.293)/(g1^10*g2^4*g3) + (g2^2*t^8.293)/(g1^16*g3) + (g1^4*g3*t^8.293)/g2^14 + (3*g3*t^8.293)/(g1^2*g2^8) + (3*g3*t^8.293)/(g1^8*g2^2) + (g2^4*g3*t^8.293)/g1^14 + (g1^2*g3^2*t^8.293)/g2^10 + (g3^2*t^8.293)/(g1^4*g2^4) + (g2^2*g3^2*t^8.293)/g1^10 + (g3^3*t^8.293)/g1^6 + (g1^6*g3^3*t^8.293)/g2^12 + (g3^3*t^8.293)/g2^6 + (g2^6*g3^3*t^8.293)/g1^12 + (g3^4*t^8.293)/(g1^2*g2^2) - g1^13*g2*t^8.325 - g1^7*g2^7*t^8.325 - g1*g2^13*t^8.325 - (g1^4*t^8.764)/g2^8 - (7*t^8.764)/(g1^2*g2^2) - (g2^4*t^8.764)/g1^8 - (2*t^8.764)/(g1^4*g2^4*g3^2) - (4*t^8.764)/(g1^6*g3) - (g1^6*t^8.764)/(g2^12*g3) - (4*t^8.764)/(g2^6*g3) - (g2^6*t^8.764)/(g1^12*g3) - (g1^8*g3*t^8.764)/g2^10 - (4*g1^2*g3*t^8.764)/g2^4 - (4*g2^2*g3*t^8.764)/g1^4 - (g2^8*g3*t^8.764)/g1^10 - 2*g3^2*t^8.764 + g1^17*g2^5*t^8.797 + g1^11*g2^11*t^8.797 + g1^5*g2^17*t^8.797 - t^4.382/(g1*g2*y) - t^7.146/(g1^3*g2^3*y) - t^7.146/(g1*g2^7*g3*y) - t^7.146/(g1^7*g2*g3*y) - (g1*g3*t^7.146)/(g2^5*y) - (g2*g3*t^7.146)/(g1^5*y) + (g1*g2*t^7.618)/y + (g1^3*t^7.618)/(g2^3*g3*y) + (g2^3*t^7.618)/(g1^3*g3*y) + (g1^5*g3*t^7.618)/(g2*y) + (g2^5*g3*t^7.618)/(g1*y) + (g1^2*t^8.528)/(g2^10*y) + (3*t^8.528)/(g1^4*g2^4*y) + (g2^2*t^8.528)/(g1^10*y) + t^8.528/(g1^6*g2^6*g3^2*y) + (2*t^8.528)/(g1^2*g2^8*g3*y) + (2*t^8.528)/(g1^8*g2^2*g3*y) + (2*g3*t^8.528)/(g1^6*y) + (2*g3*t^8.528)/(g2^6*y) + (g3^2*t^8.528)/(g1^2*g2^2*y) - (t^4.382*y)/(g1*g2) - (t^7.146*y)/(g1^3*g2^3) - (t^7.146*y)/(g1*g2^7*g3) - (t^7.146*y)/(g1^7*g2*g3) - (g1*g3*t^7.146*y)/g2^5 - (g2*g3*t^7.146*y)/g1^5 + g1*g2*t^7.618*y + (g1^3*t^7.618*y)/(g2^3*g3) + (g2^3*t^7.618*y)/(g1^3*g3) + (g1^5*g3*t^7.618*y)/g2 + (g2^5*g3*t^7.618*y)/g1 + (g1^2*t^8.528*y)/g2^10 + (3*t^8.528*y)/(g1^4*g2^4) + (g2^2*t^8.528*y)/g1^10 + (t^8.528*y)/(g1^6*g2^6*g3^2) + (2*t^8.528*y)/(g1^2*g2^8*g3) + (2*t^8.528*y)/(g1^8*g2^2*g3) + (2*g3*t^8.528*y)/g1^6 + (2*g3*t^8.528*y)/g2^6 + (g3^2*t^8.528*y)/(g1^2*g2^2)

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
47125	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{2}$	0.7089	0.8701	0.8148	[M:[1.0, 1.0, 0.8961, 0.8961, 1.052, 0.948], q:[0.4221, 0.5779], qb:[0.5779, 0.526], phi:[0.474]]	2*t^2.688 + 2*t^2.844 + 2*t^3. + t^3.468 + t^3.954 + t^4.266 + 2*t^4.422 + t^4.578 + 2*t^4.734 + 3*t^4.89 + 3*t^5.377 + 2*t^5.532 + 6*t^5.688 + 2*t^5.844 - 3*t^6. - t^4.422/y - t^4.422*y	detail
47091	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{4}$	0.71	0.8716	0.8146	[M:[1.0, 0.8862, 0.8862, 1.0, 1.0569, 0.9431], q:[0.4716, 0.5284], qb:[0.6422, 0.4716], phi:[0.4716]]	2*t^2.659 + 2*t^2.829 + 2*t^3. + t^3.512 + 3*t^4.244 + 2*t^4.415 + t^4.585 + 2*t^4.756 + t^4.927 + t^5.268 + 3*t^5.317 + 2*t^5.488 + 6*t^5.659 + 2*t^5.829 - 3*t^6. - t^4.415/y - t^4.415*y	detail
46804	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$	0.7055	0.8657	0.8149	[M:[0.951, 1.0421, 0.9647, 0.8736, 1.0421, 0.9579], q:[0.4402, 0.6088], qb:[0.5177, 0.5177], phi:[0.4789]]	t^2.621 + t^2.853 + 2*t^2.874 + t^2.894 + t^3.126 + t^3.379 + t^4.078 + 2*t^4.31 + 3*t^4.543 + t^4.584 + 2*t^4.816 + t^5.089 + t^5.241 + t^5.474 + t^5.494 + t^5.515 + t^5.706 + 5*t^5.747 + t^5.788 + t^5.98 - 3*t^6. - t^4.437/y - t^4.437*y	detail
48239	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$	0.663	0.838	0.7912	[M:[0.8, 0.8, 0.8, 0.8, 1.2, 0.8], q:[0.4, 0.8], qb:[0.8, 0.4], phi:[0.4]]	6*t^2.4 + 3*t^3.6 + 22*t^4.8 + 9*t^6. - t^4.2/y - t^4.2*y	detail	{a: 663/1000, c: 419/500, M1: 4/5, M2: 4/5, M3: 4/5, M4: 4/5, M5: 6/5, M6: 4/5, q1: 2/5, q2: 4/5, qb1: 4/5, qb2: 2/5, phi1: 2/5}
47083	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$	0.6958	0.8638	0.8055	[M:[0.7814, 0.9672, 0.9672, 0.7814, 1.1257, 0.8743], q:[0.4372, 0.7814], qb:[0.5957, 0.4372], phi:[0.4372]]	2*t^2.344 + 2*t^2.623 + 2*t^2.902 + 3*t^3.934 + t^4.131 + 2*t^4.41 + 3*t^4.689 + t^4.885 + 4*t^4.967 + 7*t^5.246 + 2*t^5.524 + 3*t^5.803 - 5*t^6. - t^4.311/y - t^4.311*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
46325	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$	0.7103	0.8687	0.8177	[M:[0.9326, 0.9326, 0.9326, 0.9326, 1.0674], q:[0.4663, 0.6011], qb:[0.6011, 0.4663], phi:[0.4663]]	5*t^2.798 + t^3.202 + t^3.606 + 3*t^4.197 + 4*t^4.601 + 3*t^5.005 + 11*t^5.596 - 3*t^6. - t^4.399/y - t^4.399*y	detail