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
2856	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6691	0.8669	0.7718	[M:[1.2235, 1.1117, 0.7765, 0.7765, 0.7765, 0.6704], q:[0.75, 0.4148], qb:[0.3617, 0.4735], phi:[0.5]]	[M:[[2], [1], [-2], [-2], [-2], [6]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	${}$	-2	t^2.011 + 3*t^2.33 + t^2.506 + t^3. + 2*t^3.335 + t^3.494 + t^3.83 + t^4.006 + t^4.023 + t^4.165 + 4*t^4.341 + t^4.517 + 6*t^4.659 + 3*t^4.835 + 2*t^5.011 + 3*t^5.33 + 2*t^5.346 + 2*t^5.506 + 5*t^5.665 + 2*t^5.824 + 2*t^5.841 - 2*t^6. + t^6.017 + t^6.034 + 2*t^6.159 + 3*t^6.335 + 4*t^6.352 + 2*t^6.494 + t^6.511 + t^6.528 + 10*t^6.67 + t^6.83 + 4*t^6.846 + 10*t^6.989 - t^7.006 + 2*t^7.023 + 5*t^7.165 - t^7.324 + 6*t^7.341 + 2*t^7.358 - t^7.5 + 3*t^7.517 + 5*t^7.659 + 5*t^7.676 + 3*t^7.835 + 2*t^7.852 + 8*t^7.994 - t^8.011 + t^8.028 + t^8.045 + 3*t^8.154 + 4*t^8.17 - 7*t^8.33 + 5*t^8.346 + 4*t^8.363 + 3*t^8.489 - 2*t^8.506 + t^8.523 + t^8.539 + 4*t^8.665 + 10*t^8.682 + 2*t^8.824 + 3*t^8.841 + 4*t^8.858 - t^4.5/y - t^6.511/y - (2*t^6.83)/y + t^7.165/y + (3*t^7.341)/y + t^7.517/y + (3*t^7.659)/y + (2*t^7.835)/y + t^8.011/y + (2*t^8.17)/y + (3*t^8.33)/y + (2*t^8.346)/y + t^8.489/y + (2*t^8.506)/y - t^8.523/y + (6*t^8.665)/y + (3*t^8.824)/y + t^8.841/y - t^4.5*y - t^6.511*y - 2*t^6.83*y + t^7.165*y + 3*t^7.341*y + t^7.517*y + 3*t^7.659*y + 2*t^7.835*y + t^8.011*y + 2*t^8.17*y + 3*t^8.33*y + 2*t^8.346*y + t^8.489*y + 2*t^8.506*y - t^8.523*y + 6*t^8.665*y + 3*t^8.824*y + t^8.841*y	g1^6*t^2.011 + (3*t^2.33)/g1^2 + g1^3*t^2.506 + t^3. + 2*g1*t^3.335 + t^3.494/g1^3 + t^3.83/g1^2 + g1^3*t^4.006 + g1^12*t^4.023 + t^4.165/g1 + 4*g1^4*t^4.341 + g1^9*t^4.517 + (6*t^4.659)/g1^4 + 3*g1*t^4.835 + 2*g1^6*t^5.011 + (3*t^5.33)/g1^2 + 2*g1^7*t^5.346 + 2*g1^3*t^5.506 + (5*t^5.665)/g1 + (2*t^5.824)/g1^5 + 2*g1^4*t^5.841 - 2*t^6. + g1^9*t^6.017 + g1^18*t^6.034 + (2*t^6.159)/g1^4 + 3*g1*t^6.335 + 4*g1^10*t^6.352 + (2*t^6.494)/g1^3 + g1^6*t^6.511 + g1^15*t^6.528 + 10*g1^2*t^6.67 + t^6.83/g1^2 + 4*g1^7*t^6.846 + (10*t^6.989)/g1^6 - g1^3*t^7.006 + 2*g1^12*t^7.023 + (5*t^7.165)/g1 - t^7.324/g1^5 + 6*g1^4*t^7.341 + 2*g1^13*t^7.358 - t^7.5 + 3*g1^9*t^7.517 + (5*t^7.659)/g1^4 + 5*g1^5*t^7.676 + 3*g1*t^7.835 + 2*g1^10*t^7.852 + (8*t^7.994)/g1^3 - g1^6*t^8.011 + g1^15*t^8.028 + g1^24*t^8.045 + (3*t^8.154)/g1^7 + 4*g1^2*t^8.17 - (7*t^8.33)/g1^2 + 5*g1^7*t^8.346 + 4*g1^16*t^8.363 + (3*t^8.489)/g1^6 - 2*g1^3*t^8.506 + g1^12*t^8.523 + g1^21*t^8.539 + (4*t^8.665)/g1 + 10*g1^8*t^8.682 + (2*t^8.824)/g1^5 + 3*g1^4*t^8.841 + 4*g1^13*t^8.858 - t^4.5/y - (g1^6*t^6.511)/y - (2*t^6.83)/(g1^2*y) + t^7.165/(g1*y) + (3*g1^4*t^7.341)/y + (g1^9*t^7.517)/y + (3*t^7.659)/(g1^4*y) + (2*g1*t^7.835)/y + (g1^6*t^8.011)/y + (2*g1^2*t^8.17)/y + (3*t^8.33)/(g1^2*y) + (2*g1^7*t^8.346)/y + t^8.489/(g1^6*y) + (2*g1^3*t^8.506)/y - (g1^12*t^8.523)/y + (6*t^8.665)/(g1*y) + (3*t^8.824)/(g1^5*y) + (g1^4*t^8.841)/y - t^4.5*y - g1^6*t^6.511*y - (2*t^6.83*y)/g1^2 + (t^7.165*y)/g1 + 3*g1^4*t^7.341*y + g1^9*t^7.517*y + (3*t^7.659*y)/g1^4 + 2*g1*t^7.835*y + g1^6*t^8.011*y + 2*g1^2*t^8.17*y + (3*t^8.33*y)/g1^2 + 2*g1^7*t^8.346*y + (t^8.489*y)/g1^6 + 2*g1^3*t^8.506*y - g1^12*t^8.523*y + (6*t^8.665*y)/g1 + (3*t^8.824*y)/g1^5 + g1^4*t^8.841*y

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
3422	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{6}$	0.6464	0.8383	0.771	[M:[1.2857, 1.1429, 0.7143, 0.7143, 0.7143, 0.8571], q:[0.75, 0.3214], qb:[0.3929, 0.5357], phi:[0.5]]	3*t^2.143 + t^2.571 + t^2.786 + t^3. + t^3.214 + 2*t^3.429 + t^3.643 + t^4.071 + 7*t^4.286 + 4*t^4.714 + 3*t^4.929 + 4*t^5.143 + 3*t^5.357 + 7*t^5.571 + 4*t^5.786 - t^4.5/y - t^4.5*y	detail	{a: 56757/87808, c: 73613/87808, M1: 9/7, M2: 8/7, M3: 5/7, M4: 5/7, M5: 5/7, M6: 6/7, q1: 3/4, q2: 9/28, qb1: 11/28, qb2: 15/28, phi1: 1/2}

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
1834	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6483	0.8256	0.7853	[M:[1.2243, 1.1122, 0.7757, 0.7757, 0.7757], q:[0.75, 0.4135], qb:[0.3622, 0.4743], phi:[0.5]]	3*t^2.327 + t^2.509 + t^3. + 2*t^3.336 + t^3.491 + t^3.827 + t^3.981 + t^4.009 + t^4.164 + t^4.346 + 6*t^4.654 + 3*t^4.836 + t^5.019 + 3*t^5.327 + t^5.509 + 5*t^5.664 + 2*t^5.818 + t^5.846 - 2*t^6. - t^4.5/y - t^4.5*y	detail