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
1450	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.7187	0.8911	0.8065	[M:[0.8499, 1.0412, 0.9588, 0.9323, 1.0677, 0.9323, 0.8234], q:[0.6295, 0.5206], qb:[0.4117, 0.5471], phi:[0.4728]]	[M:[[20, 12], [-8, -8], [8, 8], [4, -4], [-4, 4], [4, -4], [16, 0]], q:[[-16, -8], [-4, -4]], qb:[[8, 0], [0, 8]], phi:[[3, 1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$	${}$	-3	t^2.47 + t^2.55 + 2*t^2.797 + t^2.837 + t^2.876 + t^3.124 + t^3.888 + t^4.215 + t^4.295 + 2*t^4.542 + t^4.621 + t^4.701 + t^4.869 + t^4.94 + t^4.948 + t^5.02 + t^5.099 + t^5.196 + 2*t^5.267 + t^5.307 + 2*t^5.346 + t^5.386 + t^5.426 + 3*t^5.594 + 2*t^5.633 + 2*t^5.673 + t^5.713 + t^5.92 + t^5.96 - 3*t^6. - t^6.08 - 3*t^6.327 + t^6.358 - t^6.406 + t^6.438 - t^6.654 + 3*t^6.685 + t^6.725 + 2*t^6.765 + t^6.844 + 4*t^7.012 + 3*t^7.092 + t^7.131 + 2*t^7.171 + t^7.251 + 4*t^7.339 + t^7.379 + t^7.41 + 2*t^7.418 + t^7.49 + 2*t^7.498 + t^7.538 + t^7.569 + t^7.577 + t^7.649 + 3*t^7.666 - t^7.705 + 2*t^7.737 + 2*t^7.777 + 2*t^7.816 + t^7.856 - t^7.864 + 2*t^7.896 + t^7.936 + t^7.976 + 2*t^7.992 + 3*t^8.064 - t^8.072 + 3*t^8.104 - t^8.112 + 2*t^8.143 - t^8.151 + 3*t^8.183 + 2*t^8.223 + t^8.263 + t^8.319 - t^8.359 + 3*t^8.391 - t^8.399 + 5*t^8.43 - 2*t^8.47 + 3*t^8.51 - 3*t^8.55 + t^8.589 - t^8.629 + t^8.717 + 3*t^8.757 - 9*t^8.797 + t^8.828 - t^8.837 - 7*t^8.876 + t^8.908 - 2*t^8.956 + t^8.988 + t^8.996 - t^4.418/y - t^6.888/y - t^6.968/y - t^7.215/y - t^7.255/y + t^7.582/y + t^7.621/y + t^7.869/y + t^7.948/y + t^8.02/y + (2*t^8.267)/y + t^8.307/y + (3*t^8.346)/y + t^8.386/y + t^8.426/y + (2*t^8.594)/y + (2*t^8.633)/y + (3*t^8.673)/y + t^8.713/y + (2*t^8.92)/y + t^8.96/y - t^4.418*y - t^6.888*y - t^6.968*y - t^7.215*y - t^7.255*y + t^7.582*y + t^7.621*y + t^7.869*y + t^7.948*y + t^8.02*y + 2*t^8.267*y + t^8.307*y + 3*t^8.346*y + t^8.386*y + t^8.426*y + 2*t^8.594*y + 2*t^8.633*y + 3*t^8.673*y + t^8.713*y + 2*t^8.92*y + t^8.96*y	g1^16*t^2.47 + g1^20*g2^12*t^2.55 + (2*g1^4*t^2.797)/g2^4 + g1^6*g2^2*t^2.837 + g1^8*g2^8*t^2.876 + t^3.124/(g1^8*g2^8) + g1^19*g2*t^3.888 + (g1^7*t^4.215)/g2^3 + g1^11*g2^9*t^4.295 + (2*t^4.542)/(g1^5*g2^7) + (g2^5*t^4.621)/g1 + g1^3*g2^17*t^4.701 + t^4.869/(g1^17*g2^11) + g1^32*t^4.94 + (g2*t^4.948)/g1^13 + g1^36*g2^12*t^5.02 + g1^40*g2^24*t^5.099 + t^5.196/(g1^29*g2^15) + (2*g1^20*t^5.267)/g2^4 + g1^22*g2^2*t^5.307 + 2*g1^24*g2^8*t^5.346 + g1^26*g2^14*t^5.386 + g1^28*g2^20*t^5.426 + (3*g1^8*t^5.594)/g2^8 + (2*g1^10*t^5.633)/g2^2 + 2*g1^12*g2^4*t^5.673 + g1^14*g2^10*t^5.713 + t^5.92/(g1^4*g2^12) + t^5.96/(g1^2*g2^6) - 3*t^6. - g1^4*g2^12*t^6.08 - (3*t^6.327)/(g1^12*g2^4) + g1^35*g2*t^6.358 - (g2^8*t^6.406)/g1^8 + g1^39*g2^13*t^6.438 - t^6.654/(g1^24*g2^8) + (3*g1^23*t^6.685)/g2^3 + g1^25*g2^3*t^6.725 + 2*g1^27*g2^9*t^6.765 + g1^31*g2^21*t^6.844 + (4*g1^11*t^7.012)/g2^7 + 3*g1^15*g2^5*t^7.092 + g1^17*g2^11*t^7.131 + 2*g1^19*g2^17*t^7.171 + g1^23*g2^29*t^7.251 + (4*t^7.339)/(g1*g2^11) + (g1*t^7.379)/g2^5 + g1^48*t^7.41 + 2*g1^3*g2*t^7.418 + g1^52*g2^12*t^7.49 + 2*g1^7*g2^13*t^7.498 + g1^9*g2^19*t^7.538 + g1^56*g2^24*t^7.569 + g1^11*g2^25*t^7.577 + g1^60*g2^36*t^7.649 + (3*t^7.666)/(g1^13*g2^15) - t^7.705/(g1^11*g2^9) + (2*g1^36*t^7.737)/g2^4 + 2*g1^38*g2^2*t^7.777 + 2*g1^40*g2^8*t^7.816 + g1^42*g2^14*t^7.856 - (g2^15*t^7.864)/g1^3 + 2*g1^44*g2^20*t^7.896 + g1^46*g2^26*t^7.936 + g1^48*g2^32*t^7.976 + (2*t^7.992)/(g1^25*g2^19) + (3*g1^24*t^8.064)/g2^8 - t^8.072/(g1^21*g2^7) + (3*g1^26*t^8.104)/g2^2 - t^8.112/(g1^19*g2) + 2*g1^28*g2^4*t^8.143 - (g2^5*t^8.151)/g1^17 + 3*g1^30*g2^10*t^8.183 + 2*g1^32*g2^16*t^8.223 + g1^34*g2^22*t^8.263 + t^8.319/(g1^37*g2^23) - t^8.359/(g1^35*g2^17) + (3*g1^12*t^8.391)/g2^12 - t^8.399/(g1^33*g2^11) + (5*g1^14*t^8.43)/g2^6 - 2*g1^16*t^8.47 + 3*g1^18*g2^6*t^8.51 - 3*g1^20*g2^12*t^8.55 + g1^22*g2^18*t^8.589 - g1^24*g2^24*t^8.629 + t^8.717/g2^16 + (3*g1^2*t^8.757)/g2^10 - (9*g1^4*t^8.797)/g2^4 + g1^51*g2*t^8.828 - g1^6*g2^2*t^8.837 - 7*g1^8*g2^8*t^8.876 + g1^55*g2^13*t^8.908 - 2*g1^12*g2^20*t^8.956 + g1^59*g2^25*t^8.988 + g1^14*g2^26*t^8.996 - (g1^3*g2*t^4.418)/y - (g1^19*g2*t^6.888)/y - (g1^23*g2^13*t^6.968)/y - (g1^7*t^7.215)/(g2^3*y) - (g1^9*g2^3*t^7.255)/y + t^7.582/(g1^3*g2*y) + (g2^5*t^7.621)/(g1*y) + t^7.869/(g1^17*g2^11*y) + (g2*t^7.948)/(g1^13*y) + (g1^36*g2^12*t^8.02)/y + (2*g1^20*t^8.267)/(g2^4*y) + (g1^22*g2^2*t^8.307)/y + (3*g1^24*g2^8*t^8.346)/y + (g1^26*g2^14*t^8.386)/y + (g1^28*g2^20*t^8.426)/y + (2*g1^8*t^8.594)/(g2^8*y) + (2*g1^10*t^8.633)/(g2^2*y) + (3*g1^12*g2^4*t^8.673)/y + (g1^14*g2^10*t^8.713)/y + (2*t^8.92)/(g1^4*g2^12*y) + t^8.96/(g1^2*g2^6*y) - g1^3*g2*t^4.418*y - g1^19*g2*t^6.888*y - g1^23*g2^13*t^6.968*y - (g1^7*t^7.215*y)/g2^3 - g1^9*g2^3*t^7.255*y + (t^7.582*y)/(g1^3*g2) + (g2^5*t^7.621*y)/g1 + (t^7.869*y)/(g1^17*g2^11) + (g2*t^7.948*y)/g1^13 + g1^36*g2^12*t^8.02*y + (2*g1^20*t^8.267*y)/g2^4 + g1^22*g2^2*t^8.307*y + 3*g1^24*g2^8*t^8.346*y + g1^26*g2^14*t^8.386*y + g1^28*g2^20*t^8.426*y + (2*g1^8*t^8.594*y)/g2^8 + (2*g1^10*t^8.633*y)/g2^2 + 3*g1^12*g2^4*t^8.673*y + g1^14*g2^10*t^8.713*y + (2*t^8.92*y)/(g1^4*g2^12) + (t^8.96*y)/(g1^2*g2^6)

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
2519	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$	0.6678	0.848	0.7875	[M:[1.0081, 0.8918, 1.1082, 0.7916, 1.2084, 0.7916, 0.6914], q:[0.546, 0.4459], qb:[0.3457, 0.7625], phi:[0.475]]	t^2.074 + 2*t^2.375 + t^2.675 + t^2.85 + t^3.024 + t^3.325 + t^3.499 + t^3.8 + 2*t^4.1 + t^4.149 + t^4.401 + 2*t^4.449 + t^4.701 + 4*t^4.75 + t^4.924 + 2*t^5.05 + t^5.098 + 2*t^5.225 + t^5.351 + 2*t^5.399 + t^5.525 + t^5.573 + 2*t^5.699 + 4*t^5.874 - 2*t^6. - t^4.425/y - t^4.425*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
941	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$	0.7054	0.8656	0.815	[M:[0.8743, 1.0419, 0.9581, 0.9581, 1.0419, 0.9581], q:[0.6048, 0.521], qb:[0.4371, 0.521], phi:[0.479]]	t^2.623 + 4*t^2.874 + t^3.126 + t^3.377 + t^4.06 + 2*t^4.311 + 4*t^4.563 + 2*t^4.814 + t^5.066 + t^5.246 + 3*t^5.497 + 7*t^5.749 - t^6. - t^4.437/y - t^4.437*y	detail