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
46424	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{3}^{2}$	0.7071	0.865	0.8174	[M:[0.8897, 0.9506, 1.0, 0.9391, 1.0552], q:[0.4971, 0.6132], qb:[0.5523, 0.4477], phi:[0.4724]]	[M:[[-4, 4], [2, 10], [0, 0], [-6, -6], [2, -2]], q:[[-2, -4], [6, 0]], qb:[[0, -6], [0, 6]], phi:[[-1, 1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}M_{5}$	${}$	-2	t^2.669 + t^2.817 + t^2.835 + t^2.852 + t^3. + t^3.165 + t^3.496 + t^4.104 + t^4.252 + t^4.4 + t^4.417 + t^4.565 + t^4.6 + t^4.731 + t^4.748 + t^4.914 + t^5.096 + t^5.338 + t^5.486 + t^5.521 + t^5.634 + 3*t^5.669 + t^5.704 + t^5.835 + t^5.983 - 2*t^6. + t^6.017 - t^6.148 + t^6.165 - t^6.183 + t^6.331 + t^6.662 + t^6.773 + t^6.921 + t^6.938 + t^6.955 + t^6.993 + t^7.069 + 2*t^7.086 + t^7.104 + t^7.217 + 2*t^7.235 + t^7.252 + t^7.269 + t^7.383 + 2*t^7.4 + t^7.417 + t^7.452 + t^7.548 + t^7.565 + t^7.583 + t^7.6 + t^7.731 + t^7.765 + t^7.914 + t^7.948 + t^8.007 + t^8.096 + t^8.155 + t^8.19 + t^8.207 + t^8.227 + t^8.304 + 2*t^8.338 + t^8.373 + t^8.41 + t^8.452 + t^8.486 + 2*t^8.504 + 2*t^8.521 + t^8.556 + t^8.593 + t^8.652 - 2*t^8.669 + t^8.704 + 2*t^8.8 - 3*t^8.817 + t^8.835 - 3*t^8.852 + t^8.869 - t^8.983 - t^4.417/y - t^7.086/y - t^7.235/y - t^7.269/y + t^7.565/y + t^7.6/y + t^7.748/y + t^8.486/y + t^8.504/y + t^8.521/y + t^8.652/y + (2*t^8.669)/y + t^8.686/y + t^8.817/y + (2*t^8.835)/y + t^8.852/y + t^8.983/y - t^4.417*y - t^7.086*y - t^7.235*y - t^7.269*y + t^7.565*y + t^7.6*y + t^7.748*y + t^8.486*y + t^8.504*y + t^8.521*y + t^8.652*y + 2*t^8.669*y + t^8.686*y + t^8.817*y + 2*t^8.835*y + t^8.852*y + t^8.983*y	(g2^4*t^2.669)/g1^4 + t^2.817/(g1^6*g2^6) + (g2^2*t^2.835)/g1^2 + g1^2*g2^10*t^2.852 + t^3. + (g1^2*t^3.165)/g2^2 + (g1^6*t^3.496)/g2^6 + (g2^13*t^4.104)/g1 + (g2^3*t^4.252)/g1^3 + t^4.4/(g1^5*g2^7) + (g2*t^4.417)/g1 + t^4.565/(g1^3*g2^9) + g1^5*g2^7*t^4.6 + t^4.731/(g1*g2^11) + (g1^3*t^4.748)/g2^3 + (g1^5*t^4.914)/g2^5 + g1^11*g2*t^5.096 + (g2^8*t^5.338)/g1^8 + t^5.486/(g1^10*g2^2) + (g2^14*t^5.521)/g1^2 + t^5.634/(g1^12*g2^12) + (3*g2^4*t^5.669)/g1^4 + g1^4*g2^20*t^5.704 + (g2^2*t^5.835)/g1^2 + t^5.983/(g1^4*g2^8) - 2*t^6. + g1^4*g2^8*t^6.017 - t^6.148/(g1^2*g2^10) + (g1^2*t^6.165)/g2^2 - g1^6*g2^6*t^6.183 + (g1^4*t^6.331)/g2^4 + (g1^8*t^6.662)/g2^8 + (g2^17*t^6.773)/g1^5 + (g2^7*t^6.921)/g1^7 + (g2^15*t^6.938)/g1^3 + g1*g2^23*t^6.955 + (g1^12*t^6.993)/g2^12 + t^7.069/(g1^9*g2^3) + (2*g2^5*t^7.086)/g1^5 + (g2^13*t^7.104)/g1 + t^7.217/(g1^11*g2^13) + (2*t^7.235)/(g1^7*g2^5) + (g2^3*t^7.252)/g1^3 + g1*g2^11*t^7.269 + t^7.383/(g1^9*g2^15) + (2*t^7.4)/(g1^5*g2^7) + (g2*t^7.417)/g1 + g1^7*g2^17*t^7.452 + t^7.548/(g1^7*g2^17) + t^7.565/(g1^3*g2^9) + (g1*t^7.583)/g2 + g1^5*g2^7*t^7.6 + t^7.731/(g1*g2^11) + g1^7*g2^5*t^7.765 + (g1^5*t^7.914)/g2^5 + g1^13*g2^11*t^7.948 + (g2^12*t^8.007)/g1^12 + g1^11*g2*t^8.096 + (g2^2*t^8.155)/g1^14 + (g2^18*t^8.19)/g1^6 + (g2^26*t^8.207)/g1^2 + (g1^5*t^8.227)/g2^17 + t^8.304/(g1^16*g2^8) + (2*g2^8*t^8.338)/g1^8 + g2^24*t^8.373 + (g1^11*t^8.41)/g2^11 + t^8.452/(g1^18*g2^18) + t^8.486/(g1^10*g2^2) + (2*g2^6*t^8.504)/g1^6 + (2*g2^14*t^8.521)/g1^2 + g1^6*g2^30*t^8.556 + (g1^17*t^8.593)/g2^5 + t^8.652/(g1^8*g2^4) - (2*g2^4*t^8.669)/g1^4 + g1^4*g2^20*t^8.704 + (2*t^8.8)/(g1^10*g2^14) - (3*t^8.817)/(g1^6*g2^6) + (g2^2*t^8.835)/g1^2 - 3*g1^2*g2^10*t^8.852 + g1^6*g2^18*t^8.869 - t^8.983/(g1^4*g2^8) - (g2*t^4.417)/(g1*y) - (g2^5*t^7.086)/(g1^5*y) - t^7.235/(g1^7*g2^5*y) - (g1*g2^11*t^7.269)/y + t^7.565/(g1^3*g2^9*y) + (g1^5*g2^7*t^7.6)/y + (g1^3*t^7.748)/(g2^3*y) + t^8.486/(g1^10*g2^2*y) + (g2^6*t^8.504)/(g1^6*y) + (g2^14*t^8.521)/(g1^2*y) + t^8.652/(g1^8*g2^4*y) + (2*g2^4*t^8.669)/(g1^4*y) + (g2^12*t^8.686)/y + t^8.817/(g1^6*g2^6*y) + (2*g2^2*t^8.835)/(g1^2*y) + (g1^2*g2^10*t^8.852)/y + t^8.983/(g1^4*g2^8*y) - (g2*t^4.417*y)/g1 - (g2^5*t^7.086*y)/g1^5 - (t^7.235*y)/(g1^7*g2^5) - g1*g2^11*t^7.269*y + (t^7.565*y)/(g1^3*g2^9) + g1^5*g2^7*t^7.6*y + (g1^3*t^7.748*y)/g2^3 + (t^8.486*y)/(g1^10*g2^2) + (g2^6*t^8.504*y)/g1^6 + (g2^14*t^8.521*y)/g1^2 + (t^8.652*y)/(g1^8*g2^4) + (2*g2^4*t^8.669*y)/g1^4 + g2^12*t^8.686*y + (t^8.817*y)/(g1^6*g2^6) + (2*g2^2*t^8.835*y)/g1^2 + g1^2*g2^10*t^8.852*y + (t^8.983*y)/(g1^4*g2^8)

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
46803	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$	0.7126	0.8749	0.8145	[M:[0.8716, 0.9435, 1.0, 0.928, 1.0642, 0.9358], q:[0.4961, 0.6323], qb:[0.5603, 0.4397], phi:[0.4679]]	t^2.615 + t^2.784 + 2*t^2.807 + t^2.831 + t^3. + t^3.578 + t^4.042 + t^4.211 + t^4.38 + t^4.404 + t^4.573 + t^4.62 + t^4.766 + t^4.789 + t^4.982 + t^5.198 + t^5.229 + t^5.399 + t^5.422 + t^5.445 + t^5.568 + t^5.591 + 5*t^5.615 + t^5.638 + t^5.661 + t^5.807 - 3*t^6. - t^4.404/y - t^4.404*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